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1bd4ccca436c9a5f536e27d7339850404384a1c5
subsection
21
33
Gu-Luo-Sun-Wu's work on discrete uniformization theorem
Furthermore, \mathbf {F} defined on \mathbb {R}^n is a C^1-extension of the curvature K defined on the space of conformal factors \Omega ^{\mathbb {E}, \mathcal {T}}_{D}(d^{\prime }) for d^{\prime }\in \mathcal {D}(d). Then we can extend the Euclidean discrete Laplace operator to be defined on \mathbb {R}^n, which is t...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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55dc20d10af44b145994de76a57a58c0dc2e14d3
subsection
22
33
Euclidean combinatorial Calabi flow with surgery on surfaces
We can extend the definition of combinatorial Calabi flow to be defined on a conformal class of d as follows.Definition 3.4 Suppose (S, V) is a marked surface with a PL metric d_0. The Euclidean combinatorial Calabi flow with surgery defined on the conformal class \mathcal {D}(d_0) is\begin{aligned}\left\lbrace \begin...
{ "cite_spans": [] }
1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
[ -0.006716334261000156, 0.001734385616146028, -0.06773543357849121, -0.011640120297670364, 0.01751357689499855, 0.027109429240226746, -0.006357824895530939, 0.014866706915199757, 0.016827069222927094, 0.038108810782432556, -0.014874335378408432, 0.010747660882771015, 0.04530951380729675, 0....
a10e50fbe7b7622a1496f29b64e900d8d52e31e1
subsection
23
33
Euclidean combinatorial Calabi flow with surgery on surfaces
For any K^*: V\rightarrow (-\infty , 2\pi ) with \sum _{v\in V}K^*(v)=2\pi \chi (S), the combinatorial Calabi flow with surgery for K^* (\ref {Calabi flow with surgery with target}) exists for all time and converges exponentially fast to a unique PL metric d^*\in \mathcal {D}(d_0) with combinatorial curvature K^* after...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1016/j.jfa.2018.04.008", "end": 1310, "openalex_id": "https://openalex.org/W2963749434", "raw": "H. Ge, X. Xu, On a combinatorial curvature for surfaces with inversive distance circle packing metrics. J. Funct. Anal. 275 (2018), no. 3, 5...
1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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6f7fb2225c00d9c4aee2ff33344d4ca465c760c9
subsection
24
33
Euclidean combinatorial Calabi flow with surgery on surfaces
As \sum _{i=1}^nu_i is invariant along the flow and \psi (t)\ge 0, by the properness of W^*|_{\Sigma _0} on \Sigma _0, we have the solution u(t) lies in a compact subset of \Sigma _0, which implies that the solution of the combinatorial Calabi flow (REF ) exists for all time.By the C^1-smoothness of \mathbf {F} and the...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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ecad1e69a8e04b01b2a7aa48ab089f0113313882
subsection
25
33
Euclidean combinatorial Calabi flow with surgery on surfaces
This method ensures the long time existence of the extended combinatorial Yamabe flow and was then used to study the combinatorial Ricci flow of inversive distance circle packing metrics , , , . Comparing to Ge-Jiang's method to extend combinatorial curvature flow, the extension of Gu-Luo-Sun-Wu has the following two a...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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df6f0bba98063fc8edbd2f599f6de538cd66a72b
subsection
26
33
Hyperbolic combinatorial Calabi flow
In this section, we introduce the combinatorial Calabi flow for piecewise hyperbolic metrics. To handle the singularities that may develop along the flow, we do surgery by flipping again. Then we prove the long time existence and convergence of the hyperbolic combinatorial Calabi flow with surgery. As the results are p...
{ "cite_spans": [] }
1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
[ -0.01776626706123352, 0.01570574752986431, -0.03486095741391182, 0.03904305398464203, -0.02382572554051876, 0.024497302249073982, 0.013958120718598366, 0.03547148406505585, -0.010653655044734478, 0.008799186907708645, -0.03302938491106033, 0.005780905485153198, 0.06459350883960724, 0.04933...
eaad1b06130817991653285beb0e51f05a5e5401
subsection
27
33
Hyperbolic combinatorial Calabi flow on triangulated surfaces
We define the combinatorial Calabi flow for PH metrics similar to the PL case.Definition 4.1 Suppose d_0 is a PH metric on a triangulated surface (S, V, \mathcal {T}). The hyperbolic combinatorial Calabi flow on (S, V, \mathcal {T}) is defined as\begin{aligned}\left\lbrace \begin{array}{ll} \frac{du_i}{dt}=\Delta ^{\m...
{ "cite_spans": [] }
1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
[ -0.003492742544040084, -0.014886599034070969, -0.07056446373462677, 0.012330468744039536, -0.00612326804548502, -0.01278065238147974, 0.007767584640532732, 0.010316085070371628, 0.010468689724802971, 0.02728573977947235, -0.034641291946172714, 0.008935011923313141, 0.05615856871008873, 0.0...
146921b40b3970ae52e53b64f5a5ec2c5ab56c9f
subsection
28
33
Gu-Guo-Luo-Sun-Wu's work on discrete uniformization theorem
Definition 4.2 (, Definition 1) Two PH metrics d, d^{\prime } on a closed marked surface (S, V) are discrete conformal if there exists sequences of PH metrics d_1=d, d_2, \cdots , d_m=d^{\prime } on (S, V) and triangulations \mathcal {T}_1, \cdots , \mathcal {T}_m of (S, V) satisfying(a) each \mathcal {T}_i is Delauna...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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f54eeee4356f6f7905bff81545bb81c5a1dbbaf6
subsection
29
33
Gu-Guo-Luo-Sun-Wu's work on discrete uniformization theorem
Furthermore, the discrete Yamabe flow with surgery associated to curvature K^* having initial value d converges to d^{\prime } linearly fast.Denote the Teichimüller space of all PH metrics on (S, V) by T_{hp}(S, V) and decorated Teichimüller space of all equivalence class of decorated hyperbolic metrics on S-V by T_D(S...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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6638b5e84fdaff1fd79448cf83f5d2be3bcfa455
subsection
30
33
Gu-Guo-Luo-Sun-Wu's work on discrete uniformization theorem
Then we can extend the hyperbolic discrete Laplace operator to be defined on R^n, which is the total space of the conformal factors for the conformal class \mathcal {D}(d).Definition 4.3 Suppose (S, V) is a marked surface with a PH metric d. For a function f: V\rightarrow \mathbb {R} on the vertices, the hyperbolic dis...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
[ -0.011404040269553661, 0.0006364713190123439, -0.04683665931224823, 0.007361136376857758, 0.03505884110927582, 0.009100347757339478, 0.025920353829860687, 0.006911077070981264, 0.031076963990926743, 0.036889590322971344, -0.04366336017847061, 0.009908928535878658, 0.019604269415140152, 0.0...
7a41241ed419485597b33688b843023df4de3412
subsection
31
33
Hyperbolic combinatorial Calabi flow with surgery on surfaces
We can extend the definition of hyperbolic combinatorial Calabi flow to be defined on the discrete conformal class \mathcal {D}(d_0) as follows.Definition 4.4 Suppose (S, V) is a marked surface with a PH metric d_0. The hyperbolic combinatorial Calabi flow with surgery defined on the conformal class \mathcal {D}(d_0) i...
{ "cite_spans": [] }
1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
[ 0.003546149702742696, -0.0166033823043108, -0.058905377984046936, 0.00782861653715372, 0.012002352625131607, -0.002235657535493374, -0.002317682607099414, 0.006149965804070234, 0.010193987749516964, 0.03784594312310219, -0.020601622760295868, 0.0025141609366983175, 0.04251564294099808, 0.0...
c2f9baab7ebf6b4d8765d9ed4bd95dad3af0dc4f
subsection
32
33
Remarks and questions
We use the discrete uniformization theorems established in , to prove the long time existence and convergence of the combinatorial Calabi flow with surgery in Theorem REF and Theorem REF . For the combinatorial Yamabe flow with surgery, the long time existence and convergence were proved similarly , . Similar results...
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1806.02166
Combinatorial Calabi flow with surgery on surfaces
[ "Xiang Zhu", "Xu Xu" ]
[ "math.GT", "math.DG" ]
2,018
en
Mathematics
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2e92f7309b6b7a8f3cbe2b6170d01e2e6d05ace7
abstract
0
19
Abstract
The potential similarity of the powering mechanisms of relativistic SNe and GRBs allowed us to make a prediction that relativistic SNe are born in environments similar to those of GRBs, that is, ones which are rich in atomic gas. Here we embark on testing this hypothesis by analysing the properties of the host galaxy N...
{ "cite_spans": [] }
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.019717421382665634, 0.054757051169872284, -0.03354403376579285, -0.03827499598264694, -0.013994486071169376, -0.013994486071169376, -0.02351745031774044, 0.023609017953276634, 0.007344434503465891, 0.030186578631401062, -0.023151183500885963, 0.020923053845763206, -0.03442918136715889, ...
bbb1d88f51af77d4d26c7e60861cdcf8796dcdc9
subsection
1
19
Introduction
The gas inflow from the intergalactic medium is predicted to be an important process providing the fuel for star formation (see e.g. , ). It has been studied mostly from indirect diagnostics because compiling a sample of galaxies for which this process can be observed directly is difficult.Based on the analysis of gas ...
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10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
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7faee6bd168036fdd58016635508e34cbb1fa194
subsection
2
19
Radio
We performed radio observations with the Australia Telescope Compact Array (ATCA) using the Compact Array Broad-band Backend on 8 March 2016 (project no. C2700, PI: M. Michałowski). The array was in the 6B configuration with baselines 214 – 5939 m. The total integration time was \sim 6.5 hr. Sources 1934-638 and 1018-4...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 182, "openalex_id": "", "raw": "Wilson W.E., Ferris R.H., Axtens P., et al., 2011, , 416, 832", "source_ref_id": "2e6f8ad30220ce54fc49f724e5e0938a25f942d3", "start": 0 }, { "arxiv_id": "", "doi": ""...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
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fbe346e461bee6a86b3f0a8e998282c7a35c6d8d
subsection
3
19
CO
We used the CO(1-0) and CO(2-1) data obtained with the Swedish European Southern Observatory (ESO) Submillimeter Telescope (SEST) by . The beam sizes are 45 and 24^{\prime \prime }, respectively. We estimated the molecular gas mass from the CO(1-0) line luminosity assuming the Galactic CO-to-H_2 conversion factor \alph...
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10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
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9bc9fb0c8443b69105bc76423b4b430410979091
subsection
4
19
Optical integral field spectroscopy
We obtained the observations of NGC 3278 using the Multi Unit Spectroscopic Explorer at the Very Large Telescope (VLT) on 15 May 2015 (proposal 095.D-0172(A), PI: H. Kuncarayakti, see for other results from this programme). The data acquisition and reduction was similar to that described in . The total integration time...
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10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
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7e777c1db7885325fda446670eac8cfb4cac6195
subsection
5
19
Broad-band photometry
We used the photometry for NGC 3278 listed in the NASA/IPAC Extragalactic Database (NED). This includes optical , near-infrared , , mid- and far-infrared , and radio , data. Additionally we used the 617 MHz flux reported in We also used the data from the Wide-field Infrared Survey Explorer (WISE; ). We used the fluxes ...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 174, "openalex_id": "https://openalex.org/W1530452976", "raw": "Lauberts A., Valentijn E.A., 1989, The surface photometry catalogue of the ESO-Uppsala galaxies, European Southern Observatory", "source_ref_id": "e7b302001c42f...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.07203317433595657, 0.0051697539165616035, -0.03519247844815254, -0.004147248808294535, 0.021686259657144547, 0.03751219063997269, 0.02910323441028595, 0.008096101693809032, 0.01403273455798626, 0.04505125805735588, -0.016802653670310974, -0.01657373458147049, 0.00443721329793334, 0.0380...
95302e08096693b443512904aaf7d6cf6925b64c
subsection
6
19
SED modelling
For the host galaxy emission, we applied the spectral energy distribution (SED) fitting method detailed in , , , , , , which is based on 35 000 templates from the library of plus some templates from and , all of which were developed using Grasiladlibitum.oats.inaf.it/silva/grasil/grasil.html. . They are based on numeri...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 297, "openalex_id": "", "raw": "Michałowski M.J., Hjorth J., Castro Cerón J.M., Watson D., 2008, , 672, 817", "source_ref_id": "a361aeff80f765dfd5050dbbca95b3015d189b18", "start": 0 }, { "arxiv_id": "", ...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.06917091459035873, -0.005093952175229788, -0.00762375770136714, -0.017262201756238937, -0.01246205810457468, -0.06721727550029755, 0.012759682722389698, 0.005387760698795319, 0.03168552741408348, 0.02344362810254097, -0.02185629867017269, 0.014812526293098927, -0.02187156118452549, 0.00...
1ade57c60b894b51745f7a1d38220a7d3a97337f
subsection
7
19
Integrated stellar properties
The best-fit SED models are presented in Fig. REF compared with the host galaxies of GRB 980425 and 111005A . The derived galaxy properties are listed in Tables REF and REF . Our derived SFR is consistent with that reported in .In terms of stellar mass, NGC 3278 is a typical galaxy with \mbox{$M_*$}\sim 3\times 10^{10}...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 111, "openalex_id": "", "raw": "Michałowski M.J., Hunt L.K., Palazzi E., et al., 2014b, , 562, A70", "source_ref_id": "005c24dd9f6844bb99ca580d7c175c09ca609cb4", "start": 0 }, { "arxiv_id": "", "doi...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.07256489992141724, 0.008872264064848423, -0.021314796060323715, -0.09203353524208069, -0.006324253976345062, 0.007724133785814047, -0.017164742574095726, -0.006755279842764139, 0.008857007138431072, 0.024259502068161964, -0.021345309913158417, 0.024579910561442375, -0.005099835805594921, ...
3be9e306cc6da5864abe94cac9ae1ac308a90abe
subsection
8
19
Gas properties
The Hi fluxes at each frequency element were determined by aperture photometry with the aperture radius of 80^{\prime \prime } for the entire galaxy and of 30^{\prime \prime } for the Hi peak. When we, instead, fit a two-dimensional (2-D) Gaussian with the size of the beam at the position of the Hi peak, we obtained th...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 1063, "openalex_id": "", "raw": "Solomon P.M., Downes D., Radford S.J.E., Barrett J.W., 1997, , 478, 144", "source_ref_id": "30aa25498939aa23d9c7caa37a6f9f27db363d08", "start": 918 }, { "arxiv_id": "", ...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.0164633896201849, -0.026579448953270912, -0.03494083508849144, 0.011039167642593384, -0.004802457522600889, -0.00482153007760644, -0.002097975928336382, -0.006087944842875004, 0.040311653167009354, 0.04568247124552727, 0.003097375389188528, 0.005527213215827942, 0.042722418904304504, 0....
7c6bde68084edc9f4359f47b54e41ba9ac3236a3
subsection
9
19
Gas properties
This is larger than the optical extent of the galaxy (diameter of \sim 60"\times 40"), so our observations are unlikely to resolve out a lot of Hi emission. Even if the atomic gas disk is a few times larger than the optical disk (which is not uncommon) and we do resolve out some of the extended emission, then our concl...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 588, "openalex_id": "", "raw": "Arabsalmani M., Roychowdhury S., Zwaan M.A., Kanekar N., Michałowski M.J., 2015, , 454, L51", "source_ref_id": "a733958d37196a17278fe3caeb4b729d3cdcc4b4", "start": 449 }, { ...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.02177288755774498, 0.014433883130550385, -0.052364785224199295, -0.04769589751958847, 0.02175763063132763, -0.006938486825674772, -0.030622415244579315, -0.011550158262252808, 0.01649368740618229, 0.03793090209364891, -0.011656963266432285, -0.004733733832836151, 0.007949316874146461, 0...
a7180e32c715af69f5875c477e1fb15b8801aaa6
subsection
10
19
Gas properties
This is one of the highest numbers among local spirals with \sim (48\pm 7)\,\mbox{$L_\odot $}/(\mbox{K\,km\,s$^{-1}$\,pc$^2$}) derived by . Similarly, the relation between SFR, CO luminosity, and metallicity presented in , \log (\mbox{SFR}/\mbox{$L^{\prime }$}_{\rm CO}) =-2.25\times [12+\log (\mbox{O}/\mbox{H})]+11.31 ...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 139, "openalex_id": "", "raw": "Daddi E., Bournaud F., Walter F., et al., 2010, , 713, 686", "source_ref_id": "65b71dbd73535a8d4b4dc7ffeb364bbb7ed1ebbb", "start": 0 }, { "arxiv_id": "", "doi": "", ...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.027783095836639404, 0.03089553490281105, -0.0405227355659008, -0.03002588264644146, -0.02340432070195675, 0.004607630427926779, -0.012732011266052723, 0.011664018034934998, -0.015325711108744144, 0.027630524709820747, 0.004279603715986013, 0.03856983408331871, -0.024853741750121117, 0.0...
a1b4688722204e9a154ecb7baf5a77a75e53b7c8
subsection
11
19
Resolved ISM and stellar properties
Figure REF shows the 1.4 Ghz continuum image from . The emission is lopsided and the peak of the emission is close to the position of SN 2009bb.Based on the MUSE observations, the distribution of H\alpha flux, equivalent width (EW), SFR, and the velocity field is shown in Fig. REF and the distribution of dust extinctio...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 52, "openalex_id": "", "raw": "Condon J.J., Helou G., Sanders D.B., Soifer B.T., 1996, , 103, 81", "source_ref_id": "18eee2f863543f4f01f14aaedbddfc8670b1c327", "start": 0 }, { "arxiv_id": "", "doi":...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.04883655905723572, -0.006821857299655676, -0.053048714995384216, -0.009874141775071621, -0.01031672302633524, 0.004185446072369814, -0.01150711439549923, 0.037939902395009995, 0.03845879063010216, 0.03720735386013985, -0.01135450042784214, 0.0175201166421175, 0.013094303198158741, 0.036...
84310869f7b1371d31443ebac4e01481178c6bc6
subsection
12
19
Discussion
In summary, NGC 3278 has an enhanced SFR given its stellar mass (close to the starburst regime above the main sequence, Sect. REF ), low atomic and molecular gas masses given its SFR (Sect. REF ), and the SN region is one of the most star-forming regions (Figs. REF and REF ). The atomic gas distribution is not centred ...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 594, "openalex_id": "", "raw": "Michałowski M.J., Gentile G., Hjorth J., et al., 2015, , 582, A78", "source_ref_id": "31e6bb3a8b3241516164e35c0ec5e945dac1ed78", "start": 452 }, { "arxiv_id": "", "do...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.01881599985063076, 0.01667955331504345, -0.047551222145557404, -0.03238244354724884, 0.006672583986073732, 0.022783689200878143, -0.03235192224383354, 0.022936291992664337, 0.02432498335838318, 0.03290129452943802, -0.021089790388941765, 0.005005391780287027, -0.03378639370203018, 0.034...
92ca8d2a1d7e50ea18dab7eea83204e297019a99
subsection
13
19
Discussion
However, there is a growing sample of GRBs in solar or super-solar environments , , , , , , , , , , which can be explained by recent overcoming of the observational bias against dust, resulting in the discovery of massive and metal-rich hosts , , , . This metallicity information may mean that relativistic explosions si...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 250, "openalex_id": "", "raw": "Prochaska J.X., Sheffer Y., Perley D.A., et al., 2009, , 691, L27", "source_ref_id": "e6e7ff6284e2c88e2d74f0729858569fb77ec6d0", "start": 0 }, { "arxiv_id": "", "doi"...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.03536815568804741, 0.024336587637662888, -0.07574095577001572, -0.02442813664674759, 0.00017892445612233132, 0.00046584728988818824, -0.031095903366804123, 0.02638116665184498, 0.003789717797189951, 0.009177716448903084, -0.025252070277929306, 0.004337100312113762, -0.00651137251406908, ...
7caa7043aea74975d94130e5c04d43c5e4c96dff
subsection
14
19
Discussion
However the existence of the galaxy group in the vicinity of NGC 3278 indicates that indeed there should be a significant supply of ambient intergalactic gas available for inflow onto this galaxy.The caveat of this work is that SN 2009bb was discovered in a galaxy-targeted survey. Such surveys were shown to result on a...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 388, "openalex_id": "", "raw": "Sanders N.E., Soderberg A.M., Levesque E.M., et al., 2012, , 758, 132", "source_ref_id": "172be602c5dcb49e6e559045f467e9f0ab0bddae", "start": 282 }, { "arxiv_id": "", ...
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.043766528367996216, 0.0466354638338089, -0.063849076628685, 0.0006962509942241013, -0.014436240307986736, -0.024446994066238403, -0.014909309335052967, -0.0032657033298164606, -0.03570909425616264, 0.02279888279736042, 0.005634864326566458, 0.020158851519227028, -0.02624770998954773, 0....
8cd51a3d68dc5c455802f333c86034bb55f6172c
subsection
15
19
Conclusions
We obtained 21 cm hydrogen line (Hi) and optical integral field unit spectroscopy observations of NGC 3278, the host galaxy of the relativistic SN 2009bb. This is the first time the atomic gas properties of a relativistic SN host have been provided and the first time resolved 21 cm-hydrogen-line (Hi) information is ana...
{ "cite_spans": [] }
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.01487177424132824, 0.021533168852329254, -0.042455900460481644, -0.04630165547132492, 0.002878592349588871, 0.0017693138215690851, -0.030537115409970284, -0.0026687546633183956, 0.02400543913245201, 0.027088146656751633, -0.022754043340682983, -0.0010463272919878364, 0.0004709427012130618...
7b8b162dced2560d937b470a79e77dbb2e3f4b1e
subsection
16
19
Conclusions
Based on observations collected at the European Organisation for Astronomical Research in the Southern Hemisphere under ESO programme(s) 095.D-0172(A). This publication makes use of data products from the Wide-field Infrared Survey Explorer, which is a joint project of the University of California, Los Angeles, and the...
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10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.07159637659788132, -0.0040589589625597, -0.033661894500255585, 0.011047692969441414, -0.0029793675057590008, -0.043244700878858566, 0.01950131542980671, -0.01615954004228115, 0.00816369615495205, 0.013100061565637589, -0.03707996383309364, 0.011131619103252888, -0.013985097408294678, -0...
46dedc4a9da4277e10a47e3188e8a825fc5f9cf3
subsection
17
19
Long tables and additional figures
ccrcrrrrccccccc Properties of star-forming regions derived from the MUSE data.RA Dec 1cx 1cy 1cdist_{\rm centre} 1cdist_{\rm centre}^{\rm deproj.} 1cH\alpha 1cH\alpha EW SFR \mbox{$M_*$} sSFR E(B-V) 3c12+\log (\mbox{O}/\mbox{H})(deg) (deg) 1c(pix) 1c(pix) 1c() 1c() 1c(Å) (Gyr^{-1}) (mag) D16 03N2 N2(1) (2) 1c(3) 1c(4) ...
{ "cite_spans": [] }
10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.03827117756009102, 0.047976307570934296, -0.0391562357544899, -0.021104080602526665, -0.012474754825234413, -0.02034110017120838, -0.04138414189219475, 0.006157264579087496, 0.035799115896224976, 0.02130245603621006, -0.012436605989933014, 0.0130317322909832, -0.02256900630891323, 0.002...
449bb6fd1afd1b533392e187510f507c88cd7efc
subsection
18
19
Long tables and additional figures
The last row shows the sum of the individual regions for extensive properties (H\alpha flux and SFR) and the average for the intensive properties (equivalent width, extinction, and metallicities). (1) Right Ascension. (2) Declination. (3), (4) MUSE pixel position. (5) Distance from the galaxy centre. (6) Deprojected di...
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10.1051/0004-6361/201732356
1808.00977
Relativistic supernova 2009bb exploded close to an atomic gas cloud
[ "Michał J. Michałowski", "G. Gentile", "T. Kruhler", "H. Kuncarayakti", "P. Kamphuis", "J. Hjorth", "S. Berta", "V. D'Elia", "J. Elliott", "L. Galbany", "J. Greiner", "L. K. Hunt", "M. P. Koprowski", "E. Le Floc'h", "A. Nicuesa Guelbenzu", "E. Palazzi", "J. Rasmussen", "A. Rossi", ...
[ "astro-ph.GA", "astro-ph.HE" ]
2,018
en
Physics
[ -0.02505769208073616, -0.03335938602685928, -0.03845638409256935, -0.007119009271264076, -0.041264310479164124, -0.016618652269244194, -0.01342921331524849, 0.009965087287127972, 0.03711346164345741, 0.014711093157529831, -0.03137552738189697, 0.019960694015026093, 0.00433397339656949, 0.0...
2c519eca4b7b0bd10d116eb23b6046ea734b5e9b
abstract
0
16
Abstract
The rapid growth of brain-inspired computing coupled with the inefficiencies in the CMOS implementations of neuromrphic systems has led to intense exploration of efficient hardware implementations of the functional units of the brain, namely, neurons and synapses. However, efforts have largely been invested in implemen...
{ "cite_spans": [] }
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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182b0a501cdb0ffceb00d3f8996196e660ae02e2
subsection
1
16
Introduction
The recent advances in the field of neuromorphic computing largely rest on our understanding of the human brain as researchers strive to comprehend the intricacies of its complex functionalities and emulate its unparalleled energy efficiency. Despite the obvious elusivenss of the brain, neuroscientific experiments have...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
2
16
GST embedded Ring Resonator as a Integrate-Fire Neuron
The basic working principle of a ring resonator is necessary to be illustrated at first. A ring resonator is a structure with two rectangular waveguides and a ring waveguide (as shown in Fig. REF (a)). Wave entering through the `INPUT' port gets partially coupled to the ring waveguide and interferes constructively insi...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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a8e2672d33ebe35dd75ca448cb1a56e347de67df
subsection
3
16
GST embedded Ring Resonator as a Integrate-Fire Neuron
\alpha and \theta can be expressed as:\alpha &= exp(-\frac{2\pi }{\lambda }[\kappa _{eff,wg}(2\pi R-L_{GST})+\kappa _{eff,GST}L_{GST}])\approx exp(-\frac{2\pi }{\lambda }\kappa _{eff,GST}L_{GST})&&\\ \theta &= \frac{2\pi }{\lambda }[n_{eff,wg}(2\pi R-L_{GST})+n_{eff,GST}L_{GST}].Here \kappa _{eff,GST} (\kappa _{eff,wg}...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1038/srep08660", "end": 1073, "openalex_id": "https://openalex.org/W2023046714", "raw": "Chen, Y. et al. Engineering the phase front of light with phase-change material based planar lenses. Scientific Reports 5 (2015). URL https://doi.or...
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
4
16
GST embedded Ring Resonator as a Integrate-Fire Neuron
During the `write' phase, an off-resonance pulse is input which writes into the GST element, thereby reducing (increasing) its degree of crystallization p (amorphization (1-p)). During the `read' phase, as p reduces, `THROUGH' port transmission T_t decreases and `DROP' port transmission (T_d) increases. Thus, with inco...
{ "cite_spans": [] }
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
5
16
GST embedded Ring Resonator as a Integrate-Fire Neuron
However, when the membrane potential integrates, on incidence of several `write' pulse, enough to the cross the threshold, P_{amp} is ensured to be high enough to amorphize the GST on the rectangular waveguide and a spike is transmitted. Once the neuron fires, a `RESET' pulse is passed to reset the states of the device...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
6
16
Results
The `write' operation of the spiking neuron is investigated using the modal profiles of the incident EM waves and the resulting temperature profiles in the GST-Si-SiO2 stack. The `read' operation, on the other hand, is explored from the point of view of the entire GST-ring resonator system. The modal profile of input E...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
7
16
Phase change dynamics of GST
The electromagnetic power absorption and subsequent temperature rise in GST is analyzed in detail using Finite Element Method (FEM) simulations in COMSOL Multiphysics. Firstly, to validate our simulation framework we simulated a GST embedded Si3N4-SiO2 ridge-waveguide system and compared its transient response of tempe...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
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Computer Science
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e3edbf1cab24d5999e8077b92eedb46fcca0b26c
subsection
8
16
Phase change dynamics of GST
Thus, we choose a input power range (26mW to 12mW) for the operation of the proposed all-photonic spiking neuron.
{ "cite_spans": [] }
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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15430a08f252bc36a77dc2e58443282c4a8402b5
subsection
9
16
Optical response of ring resonator
The `read' operation of the spiking neuron concerns with the optical response of the ring resonator or more precisely, the transmission characteristics at the `THROUGH' and `DROP' ports of the device. FDTD simulations were performed in Lumerical. Inc on a ring resonator with Si waveguides and SiO2 substrate with a patc...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
10
16
Spiking Neural network inferencing framework
A neural network is comprised of multiple layers of neurons connected through synapses. The operation of any layer in a neural network involves computing the dot-product of the inputs and weights of the synapses, which gets transferred through the neuron to the next layer. To that effect, the synaptic network can be re...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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736ef721b42bdc0dea6a640436ad2986b785cd7f
subsection
11
16
Spiking Neural network inferencing framework
Such a dot-product engine receives an N-dimensional input vector and provides an M-dimensional output vector which can be mathematically represented as:\begin{bmatrix}O_1\\O_2\\\vdots \\O_M\end{bmatrix} = \begin{bmatrix}I_1&I_2&\dots &I_N\end{bmatrix}\begin{bmatrix}w_{11} & w_{12} & \dots & w_{1M}\\w_{21} & w_{22}& \do...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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c33a69314d055dd5a2aa8bad7755555e50385802
subsection
12
16
Spiking Neural network inferencing framework
This device to system level analysis helps us validate the operation of the proposed integrate-and-fire neuron. The accuracy of recognition was calculated to be 98.06% after 25 time-steps on the testing set. The accuracy suffers a 0.24% degradation with respect to the testing accuracy (98.3%) of a SNN based on an ideal...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 595, "openalex_id": "", "raw": "Chakraborty, I., Roy, D. & Roy, K. Technology aware training in memristive neuromorphic systems based on non-ideal synaptic crossbars. arXiv preprint arXiv:1711.08889 (2017).", "source_ref_id"...
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
13
16
Discussion
Neuromorphic engineering has evolved heavily from its dawn as researchers have explored various kinds of technologies to mimic the functionality of the brain on an energy-efficient hardware platform. In the electrical domain, such technologies have been demonstrated to possess limitations such as speed, energy, process...
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10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
14
16
Author contributions statement
I.C. and K.R. conceived the study. I.C. conceived the necessary simulations, I.C. and G.S. conducted the simulations, I.C., G.S and A.S analyzed the results. All authors reviewed the manuscript.
{ "cite_spans": [] }
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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subsection
15
16
Additional information
The authors declare no competing interests.
{ "cite_spans": [] }
10.1038/s41598-018-31365-x
1804.00267
Toward Fast Neural Computing using All-Photonic Phase Change Spiking Neurons
[ "Indranil Chakraborty", "Gobinda Saha", "Abhronil Sengupta", "Kaushik Roy" ]
[ "cs.ET" ]
2,018
en
Computer Science
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cb744d847778ad4401cb96bd021f233d7641fde1
abstract
0
510
Abstract
Secure compilers generate compiled code that withstands many target-level attacks such as alteration of control flow, data leaks or memory corruption. Many existing secure compilers are proven to be fully abstract, meaning that they reflect and preserve observational equivalence. Fully abstract compilation is a strong ...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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subsection
1
510
Introduction
Low-level adversaries, such as those written in C or assembly can attack co-linked code written in a high-level language in ways that may not be feasible in the high-level language itself. For example, such an adversary may manipulate or hijack control flow, cause buffer overflows, or directly access private memory, al...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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subsection
2
510
Introduction
Before explaining \mathbf {\mathit {RSC}}, we explain robust safety as a language property.
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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a85b1d15bee5d23db2d06285ea20a2dc49762bf1
subsection
3
510
Robust Safety as a Language Property
Informally, a program property is a safety property if it encodes that “bad” sequences of events do not happen when the program executes , . A program is robustly safe if it has relevant (specified) safety properties despite active attacks from adversaries , , . As the name suggests, robust safety relies on the notions...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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subsection
4
510
Body
As mentioned, safety asserts that “no bad sequence of events happens”, so we can specify a safety property by the set of finite observations which characterise all bad sequences of events. A whole program has a safety property if its behaviours exclude these bad observations. Many security properties can be encoded as ...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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ec81e4a904820f7f178ad5fde7f329e9d3f0b94d
subsection
5
510
Body
A bad observation is one where the input is \text{\texttt {n}} (for some \text{\texttt {n}}) but the output is different from the \text{\texttt {n}}th Fibonacci number, e.g., input \text{\texttt {4}} and output \text{\texttt {5}} as well as input \text{\texttt {3}} and output \text{\texttt {6}} are bad observations.The...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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eec3c4ffa501068276a8e3f735135b942bb4da7d
subsection
6
510
Body
We believe that (with due effort) the ideas here will generalize to languages with larger gaps and more features.If the source language has a verification system that enforces robust safety, proving that a compiler attains \mathbf {\mathit {RSC}} may be simpler than that of sec:rsc-instance in some cases, as a backtran...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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07cb9bcfabd2dd2b0285c6f2a808bd6bbf18da01
subsection
7
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Body
For simplicity, \mathit {{\color {CarnationPink}{L^{I}}}} supports only one enclave. Generalizing this to many enclaves is straightforward, but not necessary for our purposes.To model the enclave, \mathit {{\color {CarnationPink}{L^{I}}}} components carry additional information \mathit {{\color {CarnationPink}{\overlin...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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b3a5ce3da3c777870c999d0a1d918bc42f785afa
subsection
8
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Body
Omitted rules are as in \mathbf {{\color {RedOrange}{L^{P}}}} (fig:lp-sem) and \mathsf {{\color {RoyalBlue}{L^{\tau }}}} (fig:la-sem).]Attackers cannot have \mathsf {{\color {RoyalBlue}{\mathsf {{\color {RoyalBlue}{new}}}_{\tau }~t}}} terms where \mathsf {{\color {RoyalBlue}{\tau }}} is different from \mathsf {{\color ...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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b19a1f97d7f2d77c6842db5a9e6de2da71eafd93
subsection
9
510
Body
To avoid giving the false impression that \mathbf {\mathit {RSC}} is only useful for this kind of a target, we show here how to attain \mathbf {\mathit {RSC}} when the protection mechanism in the target is completely different. We consider a new target language, \mathit {{\color {CarnationPink}{L^{I}}}}, which does not...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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9ea7b70a30e0ad1f2ebcb9484076bde308e81b51
subsection
10
510
Body
By convention, non-negative locations are outside the enclave (accessible from any function), while negative locations are inside the enclave (accessible only from functions in \mathit {{\color {CarnationPink}{\overline{E}}}}). The semantics are almost those of \mathbf {{\color {RedOrange}{L^{\pi }}}}, but the expressi...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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f864f50ea101d57ea72fbea02c49f85283ee553f
subsection
11
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Robust Safety Preservation as a Compiler Property
A compiler attains robustly safe compilation or \mathbf {\mathit {RSC}} if it maps any source component that has a safety property robustly to a compiled component that has the same safety property robustly. Thus, safety has to hold robustly in the target language, which often does not have the powerful abstractions (e...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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730ba6999961277cf5143918c0802e74b8e2e288
subsection
12
510
Robust Safety Preservation as a Compiler Property
The second contribution of our paper is two proof techniques to establish \mathbf {\mathit {RSC}}.The first technique is an adaption of trace-based backtranslation, an existing technique for proving \mathbf {\mathit {FAC}} , , . To illustrate this technique, we build a compiler from an untyped source language to an unt...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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1d94414b4113c378d778539c84561b6e6527931e
subsection
13
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Robustly Safe Compilation
This section first discusses robust safety as a language (not a compiler) property (sec:rs) and then presents \mathbf {\mathit {RSC}} as a compiler property along with an informal discussion of techniques to prove it (sec:rsc-theory).Robustly-safe compilation ensures that robust safety properties and their meanings are...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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432a89e694c3bbb9b3fac598e586e4d37c6acf56
subsection
14
510
Robustly Safe Compilation
Next, we require a relation \mathsf {{\color {RoyalBlue}{M}}}\operatorname{{\color {black}{\approx }}}\mathbf {{\color {RedOrange}{M}}} between source and target monitors, which means that the source monitor \mathsf {{\color {RoyalBlue}{M}}} and the target monitor \mathbf {{\color {RedOrange}{M}}} code the same safety ...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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a04e4d7749499e660c45522f8e09ea8977938696
subsection
15
510
Robustly Safe Compilation
\begin{}[Robustly Safe Compilation] \begin{align*} \vdash {\color {black}{\left.\mathsf {{\color {RoyalBlue}{\cdot }}} \right.^{\mathsf {{\color {RoyalBlue}{{S}}}}}_{}}: \mathbf {\mathit {RSC}} \mathrel {\overset{\mbox{[}0pt]{\mbox{\normalfont \tiny \sffamily def}}}{=}}&\ \forall \mathsf {{\color {RoyalBlue}{C}}},\math...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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65d0bdd61053b0cc7ff5504c509a2582085e18fc
subsection
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Safety and Robust Safety
To explain robust safety, we first describe a general imperative programming model that we use. Programmers write components on which they want to enforce safety properties robustly. A component is a list of function definitions that can be linked with other components (the context) in order to obtain a runnable whole ...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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6d5ca72c1f452303171d31cb363073500a0cbf02
subsection
17
510
Safety and Robust Safety
For a sequence of actions \overline{\alpha }, {{\color {black}{\mathtt {relevant}(}}\overline{\alpha }{{\color {black}{)}}}} is the list of heaps \overline{H} mentioned in the actions of \overline{\alpha }.Next, we need a representation of safety properties. Generally, properties are sets of traces, but safety properti...
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1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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5bc604edf2c979a858e0a84f9edd75dc2c03e1e8
subsection
18
510
Safety and Robust Safety
We assume determinism of the transition relation: for any \mathit {{\color {black}{\sigma _s}}} and (restricted heap) \mathit {{\color {black}{H}}}, there is at most one \mathit {{\color {black}{\sigma _f}}} such that (\mathit {{\color {black}{\sigma _s}}},\mathit {{\color {black}{H}}},\mathit {{\color {black}{\sigma _...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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fee8092a99664f454b80845b4ce614f41ba6f544
subsection
19
510
Safety and Robust Safety
Note that we overload the \rightsquigarrow notation here to also denote an auxiliary relation, the monitor small-step semantics (tr:ms-t-s-b and tr:ms-t-s).\begin{array}{c}\textsf {\scriptsize ({Valid trace})} \\ { \mathit {{\color {black}{M;{{\color {black}{\mathtt {relevant}(}}\mathit {{\color {black}{\overline{\alph...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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7452508ea1dc2d69749e1983bcd36a3df4314847
subsection
20
510
Safety and Robust Safety
For instance, in ex:correct, the safety-relevant locations could be the I/O buffers from which the program performs inputs and outputs, and the safety property can constrain the input and output buffers at corresponding call and return actions involving the Fibonacci function.Definition 1 (Safety, attacker and robust s...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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eaed0728c5df911b74bed25164dc1cc9b601d516
subsection
21
510
Safety and Robust Safety
\text{ if } M\mathop {\raisebox {1mm}{\frown }}C \text{ and } \mathit {{\color {black}{C}}}\vdash \mathit {{\color {black}{A}}}: \mathit {{\color {black}{atk}}} \text{ then } \mathit {{\color {black}{M}}}\vdash \mathit {{\color {black}{A\left[C\right]}}} : \mathit {{\color {black}{safe}}}A whole program \mathit {{\colo...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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4135a5746b0e3f368b9242b151646c855a13a546
subsection
22
510
Remark #2: Compiling Monitors
In our development, we assume that a source and a target monitor are related and do not actually compile a source monitor to obtain a related target monitor. While such compilation is feasible, it is at odds with our view of monitors as specifications of safety properties. Compiling monitors and, in particular, compili...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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8d2ece713cfb63e93f52aa7f8366db3d904c63bf
subsection
23
510
Proving
Proving that a compiler attains \mathbf {\mathit {RSC}} can be done either by proving that a compiler satisfies def:rsc or by proving something equivalent. To this end, def:rsc-eq below presents an alternative, equivalent formulation of \mathbf {\mathit {RSC}}.
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
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1b34410a6cd5e7bb0071ab32d90ff0f1c5b2595e
subsection
24
510
Proving
We call this characterisation property-free as it does not mention monitors explicitly (it mentions the {{\color {black}{\mathtt {relevant}(}}\cdot {{\color {black}{)}}}} function for reasons we explain below).Definition 2 (Property-Free \mathbf {\mathit {RSC}})\vdash {\color {black}{\left.\mathsf {{\color {RoyalBlue}{...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.09441045671701431, 0.03533526510000229, -0.027981380000710487, 0.013113411143422127, -0.0074187275022268295, -0.020963149145245552, 0.004447421990334988, 0.04458102211356163, 0.06627650558948517, 0.013868633657693863, -0.008231163956224918, 0.004127024672925472, 0.01823214255273342, 0.0...
98fc52da34746f2a8f0369ebfeb73c8b1737ef4e
subsection
25
510
Proving
In other words, target contexts cannot induce more (bad) behaviours in the compiled code than source contexts can in the source code. }}\mathbf {\mathit {PF\text{-}RSC}} and \mathbf {\mathit {RSC}} should, in general, be equivalent (thm:rsc-prf-eq).Proposition 1 (\mathbf {\mathit {PF\text{-}RSC}} and \mathbf {\mathit {...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1145/2951913.2951941", "end": 2095, "openalex_id": "https://openalex.org/W2514838807", "raw": "Max S. New, William J. Bowman, and Amal Ahmed. Fully abstract compilation via universal embedding. In Proceedings of the 21st ACM SIGPLAN Inte...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.043406229466199875, 0.02104683220386505, -0.014041395857930183, -0.004456616938114166, -0.013140914961695671, -0.009745034389197826, -0.0010655054356902838, 0.02066527120769024, 0.022954629734158516, 0.03125736862421036, -0.043803051114082336, 0.011927555315196514, -0.004624503199011087, ...
4e0a07885ac1ab9664c73ec1106905fee3e048c2
subsection
26
510
Proving
In fact \mathbf {\mathit {PF\text{-}RSC}}, leads directly to a backtranslation-based proof technique since it can be rewritten (eliding irrelevant details) as:If \exists \mathbf {{\color {RedOrange}{A}}},{{\color {RedOrange}{\overline{\alpha }}}}.\ \mathbf {{\color {RedOrange}{\mathbf {{\color {RedOrange}{\Omega _0}}}\...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.04010620713233948, 0.030781667679548264, -0.030415400862693787, 0.013155080378055573, 0.009721329435706139, -0.01767236925661564, 0.006459266413003206, 0.03577205166220665, 0.03387967497110367, 0.011957082897424698, -0.05164361000061035, 0.005951834376901388, -0.0027374622877687216, 0.0...
e7ac10d9cfdf9d79fd40ced509d022dcdbea9092
subsection
27
510
Proving
However, backtranslation for \mathbf {\mathit {RSC}} (as we show in {sec:compup-proof}) is not as complex as backtranslation for \mathbf {\mathit {FAC}} ({sec:facomp-instance}). }}}A simpler proof strategy is also viable for \mathbf {\mathit {RSC}} when we compile only those source programs that have been verified to b...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1007/s10817-009-9155-4", "end": 1624, "openalex_id": "https://openalex.org/W2148662736", "raw": "Xavier Leroy. A formally verified compiler back-end. J. Autom. Reasoning, 43(4):363–446, 2009.", "source_ref_id": "12ee2abc59335508506...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.05730127915740013, 0.007925456389784813, -0.04033668339252472, 0.026697881519794464, 0.004874270409345627, -0.04707980528473854, 0.01641538366675377, 0.029459204524755478, 0.00893234834074974, 0.042350467294454575, -0.02881845459342003, -0.010846967808902264, 0.018810564652085304, 0.017...
3d858ce8bc8bc142d52dbea8081894906de1a6cd
subsection
28
510
Proving
CCC requires that the behaviours produced by a compiled component linked against a target context that is related (in behaviour) to a source context can also be produced by the source component linked against the related source context. In contrast, \mathbf {\mathit {PF\text{-}RSC}} allows picking any source context to...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1145/2676726.2676985", "end": 1442, "openalex_id": "https://openalex.org/W2294599249", "raw": "Gordon Stewart, Lennart Beringer, Santiago Cuellar, and Andrew W. Appel. Compositional compcert. In Proceedings of the 42Nd Annual ACM SIGPLAN...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.045456234365701675, 0.012416568584740162, -0.029638076201081276, 0.03465656563639641, 0.026221230626106262, -0.030004166066646576, 0.00798534881323576, -0.00794721394777298, -0.03270408511161804, 0.046768058091402054, -0.02422298677265644, -0.0206078439950943, 0.01137168612331152, 0.009...
77707d9079403b9e0b3d7caa5a8d06598aae4ff4
subsection
29
510
Proving
However, they differ substantially in one key point: the heap model. This affords the target-level adversary attacks like guessing private locations and writing to them that do not obviously exist in the source (and makes our proofs nontrivial). We believe that (with due effort) the ideas here will generalize to langua...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1007/978-3-662-03811-6", "end": 647, "openalex_id": "https://openalex.org/W1553894716", "raw": "Flemming Nielson, Hanne R. Nielson, and Chris Hankin. Principles of Program Analysis. Springer-Verlag New York, USA, 1999.", "source_re...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.013561961241066456, 0.0010936142643913627, -0.03536178544163704, 0.009389637038111687, 0.004961785860359669, -0.04295892268419266, 0.017009658738970757, 0.023477906361222267, 0.0018907036865130067, -0.011372825130820274, -0.010922794230282307, -0.012143217958509922, -0.0004900764906778932...
b58160cf3e29c3ba7655926c662025c36d5fab43
subsection
30
510
Proving
This representation of the set by a single location is made explicit in the following monitor rule: {\color {RoyalBlue}{L^{U}}}-Monitor Step\endcsname \begin{array}{c}\textsf {\scriptsize ({\mathsf {{\color {RoyalBlue}{L^{U}}}}-Monitor Step})} \\ { \mathsf {{\color {RoyalBlue}{M}}}= \mathsf {{\color {RoyalBlue}{(\left\...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.0490412563085556, 0.015960533171892166, -0.02685520052909851, -0.016296222805976868, -0.016372516751289368, -0.025863388553261757, -0.02151467651128769, 0.01893596723675728, 0.015838464722037315, 0.015350188128650188, 0.007259296253323555, 0.009162810631096363, 0.03878745436668396, 0.02...
5fa399da554a1600ae5cf83182e47464e02649e4
subsection
31
510
Proving
In particular, a monitor and a component agree if they mention the same \mathsf {{\color {RoyalBlue}{\ell _{root}}}}: \mathsf {{\color {RoyalBlue}{M\mathop {\raisebox {1mm}{\frown }}C}}}\mathrel {\overset{\mbox{[}0pt]{\mbox{\normalfont \tiny \sffamily def}}}{=}}&\ (\mathsf {{\color {RoyalBlue}{M}}} = \mathsf {{\color ...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.06081477552652359, 0.036555998027324677, -0.03982101380825043, 0.014173840172588825, 0.007372990716248751, -0.03838684782385826, -0.0022733069490641356, 0.021405702456831932, -0.0125337028875947, 0.023495925590395927, -0.024716492742300034, 0.01373138464987278, 0.01560037862509489, 0.03...
db089d01e7b053c361b7604acf60a200c5c88f38
subsection
32
510
Proving
\otimes includes ==,<,> etc; {\color {black}{\left[\mathsf {{\color {RoyalBlue}{v}}}\mathrel {}/\mathrel {}\mathsf {{\color {RoyalBlue}{x}}}\right]}} substitutes value \mathsf {{\color {RoyalBlue}{v}}} for variable \mathsf {{\color {RoyalBlue}{x}}}.]\mathsf {{\color {RoyalBlue}{L^{U}}}} has a big-step semantics for exp...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1145/2837614.2837642", "end": 1349, "openalex_id": "https://openalex.org/W2295752850", "raw": "Jeehoon Kang, Yoonseung Kim, Chung-Kil Hur, Derek Dreyer, and Viktor Vafeiadis. Lightweight verification of separate compilation. POPL 2016, p...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.06737639755010605, 0.021024608984589577, -0.03048415668308735, 0.03857054561376572, 0.00839153490960598, -0.011542174965143204, 0.010268187150359154, 0.012411843053996563, 0.007842270657420158, -0.0036712964065372944, 0.006183035206049681, -0.005679543130099773, 0.00978758092969656, 0.0...
201d3ba02686059e3fff50f291659ddbe52a02cc
subsection
33
510
Proving
To support hidden local state, a location can be “hidden” explicitly via the statement \mathbf {{\color {RedOrange}{\mathbf {{\color {RedOrange}{let}}}~x=\mathbf {{\color {RedOrange}{\mathbf {{\color {RedOrange}{hide}}}~e}}}~\mathbf {{\color {RedOrange}{in}}}~s}}}, which allocates a new capability \mathbf {{\color {Red...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.17863/cam.15863", "end": 472, "openalex_id": "https://openalex.org/W2166051945", "raw": "Ian Stark. Names and Higher-Order Functions. PhD thesis, University of Cambridge, December 1994. Also available as Technical Report 363, University ...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.029999058693647385, 0.050934311002492905, 0.008506854064762592, -0.000018894848835770972, 0.02313253842294216, -0.026947272941470146, -0.0005674415151588619, 0.007221288979053497, 0.025238271802663803, 0.0011739840265363455, -0.026932012289762497, -0.008079604245722294, 0.0181581284850835...
4e033132e3f4bca5b0db388455400c7d632b9e0f
subsection
34
510
Proving
Omitted rules are the same as in \mathsf {{\color {RoyalBlue}{L^{U}}}} (fig:lu-sem).]A second difference between \mathbf {{\color {RedOrange}{L^{P}}}} and \mathsf {{\color {RoyalBlue}{L^{U}}}} is that \mathbf {{\color {RedOrange}{L^{P}}}} has no booleans, while \mathsf {{\color {RoyalBlue}{L^{U}}}} has them. This makes...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.06119520589709282, -0.011208947747945786, -0.02165486291050911, -0.009202172048389912, 0.0036530180368572474, -0.018160173669457436, 0.021349649876356125, 0.0070923869498074055, 0.009797337464988232, 0.019533632323145866, 0.006966486573219299, -0.02064765989780426, 0.00873672217130661, ...
fc7001e98886359cd13b2d1a6d22af20a26ee6cd
subsection
35
510
Proving
\mathbf {{\color {RedOrange}{M\mathop {\raisebox {1mm}{\frown }}C}}}\mathrel {\overset{\mbox{[}0pt]{\mbox{\normalfont \tiny \sffamily def}}}{=}}&\ (\mathbf {{\color {RedOrange}{M}}} = \mathbf {{\color {RedOrange}{({{\color {RedOrange}{\left\lbrace \sigma \right\rbrace }}},\rightsquigarrow ,{{\color {RedOrange}{\sigma }...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.04943283274769783, 0.03307727724313736, -0.018827196210622787, -0.009695853106677532, 0.008383747190237045, -0.013998339883983135, 0.011740297079086304, -0.0013111524749547243, 0.030620893463492393, 0.012358208186924458, -0.023236481472849846, 0.004043117165565491, 0.020490214228630066, ...
81d16110d0b8ff95cad32827c85773fe028f99bd
subsection
36
510
Proving
Then, we prove that {\color {black}{\left.\mathsf {{\color {RoyalBlue}{\cdot }}} \right.^{\mathsf {{\color {RoyalBlue}{L^{U}}}}}_{\mathbf {{\color {RedOrange}{L^{P}}}}}}} attains \mathbf {\mathit {RSC}}. [Figure: {\color {black}{\left.\mathsf {{\color {RoyalBlue}{\cdot }}} \right.^{\mathsf {{\color {RoyalBlue}{L^{U}}}...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1145/2429069.2429114", "end": 2115, "openalex_id": "https://openalex.org/W2108416936", "raw": "Cedric Fournet, Nikhil Swamy, Juan Chen, Pierre-Evariste Dagand, Pierre-Yves Strub, and Benjamin Livshits. Fully abstract compilation to JavaS...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.043485745787620544, 0.017928333953022957, -0.038877781480550766, 0.004207436461001635, -0.006160480435937643, -0.0002620111627038568, -0.0012559369206428528, -0.012710044160485268, 0.02809026464819908, 0.026671256870031357, -0.007903724908828735, -0.0017937869997695088, 0.0256031863391399...
df2fc8d8fd361683006566ce551ee67b45bfe0f4
subsection
37
510
Proving
Proof of \mathbf {\mathit {RSC}} {\color {black}{\left.\mathsf {{\color {RoyalBlue}{\cdot }}} \right.^{\mathsf {{\color {RoyalBlue}{L^{U}}}}}_{\mathbf {{\color {RedOrange}{L^{P}}}}}}} attains \mathbf {\mathit {RSC}} (thm:comp-up-rsc). In order to set up this theorem, we need to instantiate the cross-language relation f...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.05255661904811859, 0.02400451898574829, -0.021807029843330383, 0.006668769754469395, -0.008316886611282825, 0.009591124951839447, 0.00048523119767196476, 0.00738219078630209, 0.03068854846060276, 0.02714814990758896, -0.022417442873120308, -0.0023062191903591156, -0.00481845298781991, 0...
c6955f7aa83a72f266fbdd27c73224c5d192322d
subsection
38
510
Proving
On values, \operatorname{{\color {black}{\approx _{\beta }}}} is defined as follows: \mathsf {{\color {RoyalBlue}{{true}}}} \operatorname{{\color {black}{\approx _{\beta }}}}\mathbf {{\color {RedOrange}{0}}}; \mathsf {{\color {RoyalBlue}{{false}}}} \operatorname{{\color {black}{\approx _{\beta }}}}\mathbf {{\color {R...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.0513378269970417, 0.014238463714718819, -0.03180381655693054, -0.0018217755714431405, -0.0085613913834095, 0.00882845837622881, -0.011354144662618637, 0.05338279530405998, 0.028827929869294167, 0.0022700659465044737, -0.037419844418764114, 0.004131901543587446, 0.007775452919304371, 0.0...
017c3759b1a715f860544dc0033594ae7f3639db
subsection
39
510
Proving
The action relation \mathsf {{\color {RoyalBlue}{\alpha }}}\operatorname{{\color {black}{\approx _{\beta }}}}{{\color {RedOrange}{\alpha }}} is defined following the intuition of sec:rsc-theory. [Figure: Heap, state and action relations.]With this relation we define a backwards simulation lemma (thm:back-sim) that is n...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.061384983360767365, 0.009226062335073948, -0.03427913412451744, 0.01304926909506321, -0.014972319826483727, 0.010256268084049225, 0.015857532620429993, 0.05143396183848381, 0.024892816320061684, 0.023015553131699562, -0.018589485436677933, -0.007249594200402498, -0.026907440274953842, 0...
ca7e3da3de5fbe0bc525cf73581b0e688c2eadee
subsection
40
510
Proving
Monitor Relation In sec:rsc-theory, we left the monitor relation abstract. Here, we define it for our two languages. Two monitors are related when they can simulate each other on related heaps.
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.04363550618290901, 0.005668038967996836, -0.00903224479407072, 0.0410723015666008, -0.013998453505337238, 0.006434711627662182, -0.0036521852016448975, 0.03701389580965042, 0.05913679301738739, -0.004134693183004856, 0.027935879305005074, -0.015638599172234535, -0.005832053255289793, 0....
b4173a1e9b859e2047bf9c9d11c11a2d90a88ef4
subsection
41
510
Proving
Given a monitor-specific relation \mathsf {{\color {RoyalBlue}{\sigma }}} \operatorname{{\color {black}{\approx }}}{{\color {RedOrange}{\sigma }}} on monitor states, we say that a relation \mathcal {R} on source and target monitors is a bisimulation if the following hold whenever \mathsf {{\color {RoyalBlue}{M}}}=\math...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.08787593990564346, 0.012578769586980343, -0.006281756330281496, -0.005473176017403603, -0.01667506992816925, -0.005640994291752577, 0.00539689464494586, 0.012998315505683422, 0.055136047303676605, 0.012952547520399094, 0.021709628403186798, -0.010259821079671383, 0.007342065218836069, 0...
ff8e078f8dd55678ef2050b9daad226d30b2f0d3
subsection
42
510
Proving
In words, \mathcal {R} is a bisimulation only if \mathsf {{\color {RoyalBlue}{M}}} \mathcal {R} \mathbf {{\color {RedOrange}{M}}} implies that \mathsf {{\color {RoyalBlue}{M}}} and \mathbf {{\color {RedOrange}{M}}} simulate each other on heaps related by any \beta that relates \mathsf {{\color {RoyalBlue}{\ell _{root}}...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.07347100973129272, 0.019496668130159378, -0.004389801062643528, 0.0045537990517914295, -0.01951192319393158, 0.0014483293052762747, -0.004862725269049406, 0.0558050163090229, 0.014752172864973545, 0.018291475251317024, -0.034111540764570236, 0.0012366577284410596, 0.008558396250009537, ...
a9398ea04e63491119814fcdec2a32560cc93e1b
subsection
43
510
Proving
Intuitively, {\color {black}{\left\langle \!\left\langle {\cdot } \right\rangle \!\right\rangle ^{\mathbf {{\color {RedOrange}{L^{P}}}}}_{\mathsf {{\color {RoyalBlue}{L^{U}}}}}}} takes a target trace {{\color {RedOrange}{\overline{\alpha }}}} and builds a set of source contexts such that one of them when linked with th...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1145/2699503", "end": 550, "openalex_id": "https://openalex.org/W2046697462", "raw": "Marco Patrignani, Pieter Agten, Raoul Strackx, Bart Jacobs, Dave Clarke, and Frank Piessens. Secure Compilation to Protected Module Architectures. ACM ...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.061980556696653366, 0.012931689620018005, -0.03970295563340187, 0.022002944722771645, 0.022277601063251495, -0.019256392493844032, 0.007255478762090206, 0.02790803648531437, 0.0019969732966274023, 0.040740545839071274, -0.017455874010920525, 0.0005879341042600572, 0.029754329472780228, ...
5cd1d88224683e795ca45ee3edcc98f95fdcdf36
subsection
44
510
Proving
Adding element \mathsf {{\color {RoyalBlue}{v}}} to list \mathsf {{\color {RoyalBlue}{L}}} is denoted as \mathsf {{\color {RoyalBlue}{L::v}}} and it amounts to turning \mathsf {{\color {RoyalBlue}{L}}} into \mathsf {{\color {RoyalBlue}{\left\langle v,L\right\rangle }}}. Given an element \mathsf {{\color {RoyalBlue}{\le...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.0362752303481102, 0.014560431241989136, -0.02210378833115101, 0.02195124328136444, 0.0068454621359705925, 0.015056203119456768, 0.036061666905879974, 0.03474977985024452, 0.003744982648640871, 0.02642081491649151, -0.022317351773381233, -0.001248963177204132, 0.007749292068183422, 0.037...
9f6d929bba526512f5382187285945f99a9b5bbb
subsection
45
510
Proving
\mathbf {{\color {RedOrange}{\mathtt {call}~ f~ 2~ ( {\color {black}{\underbrace{\mathbf {{\color {RedOrange}{1\mapsto 55:\bot }}}}_{\node (h4){};}}}, 2\mapsto \left\langle 3,k\right\rangle :\bot , {\color {black}{\underbrace{\mathbf {{\color {RedOrange}{3\mapsto 15:k}}}}_{\node (h5){};}}} ){?}}}} \right. ; align=left...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.05047047138214111, -0.013647472485899925, -0.034603092819452286, -0.013479644432663918, 0.0014522847486659884, 0.02465546689927578, 0.017301546409726143, 0.03820376843214035, 0.020200394093990326, 0.03013276495039463, -0.03622034564614296, 0.013502529822289944, 0.010718110017478466, 0.0...
7baf30348bd64df713f56361b2bd56cb4636853c
subsection
46
510
Proving
Locations are looked up in this list based on their second field \mathsf {{\color {RoyalBlue}{n}}}, which is their target-level address. Since we have access to the whole trace, we know how many locations we will add to \mathsf {{\color {RoyalBlue}{L}}} so we know its length. In order to backtranslate the first call, w...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.04649391770362854, -0.010098088532686234, 0.009609963744878769, 0.025794362649321556, 0.002617952413856983, -0.016611509025096893, 0.015864066779613495, 0.024482525885105133, -0.009220988489687443, 0.032826416194438934, -0.032063718885183334, 0.017541997134685516, 0.005781231913715601, ...
f1f0b9b17d04b0ff02bbab7d73ab897afa53ab8c
subsection
47
510
Proving
Theorem 2 ({\color {black}{\left\langle \!\left\langle {\cdot } \right\rangle \!\right\rangle ^{\mathbf {{\color {RedOrange}{L^{P}}}}}_{\mathsf {{\color {RoyalBlue}{L^{U}}}}}}} is correct) \text{if } & \mathbf {{\color {RedOrange}{A\left[{\color {black}{\left.\mathsf {{\color {RoyalBlue}{C}}} \right.^{\mathsf {{\color...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.05674808844923973, 0.033926814794540405, -0.038625311106443405, 0.003645912278443575, -0.007730401586741209, -0.0010602129623293877, -0.04112711176276207, 0.01826007105410099, 0.02398064360022545, 0.0001389622630085796, -0.009282584302127361, -0.013981081545352936, 0.0025704444851726294, ...
071948a41257f2cedd185a6603b073d4c3a35507
subsection
48
510
Proving
Theorem 3 (\mathbf {\mathit {PF\text{-}RSC}} and \mathbf {\mathit {RSC}} are equivalent for {\color {black}{\left.\mathsf {{\color {RoyalBlue}{\cdot }}} \right.^{\mathsf {{\color {RoyalBlue}{L^{U}}}}}_{\mathbf {{\color {RedOrange}{L^{P}}}}}}}) \vdash {\color {black}{\left.\mathsf {{\color {RoyalBlue}{\cdot }}} \right....
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.0312371626496315, 0.042636364698410034, -0.03650185465812683, -0.008240384981036186, -0.010781170800328255, 0.014443564228713512, -0.0037615832407027483, 0.011200820095837116, 0.03802785277366638, 0.02461433596909046, -0.0027811299078166485, 0.011048220098018646, -0.007393456529825926, ...
8f59aa3d4dc7d89bf50dba4e5266973d2c5112ed
subsection
49
510
Proving
Additionally, an attacker has no way to decrement the amount of the balance since deposit only adds the absolute value \mathsf {{\color {RoyalBlue}{abs(x)}}} of its input \mathsf {{\color {RoyalBlue}{x}}} to the existing balance. By compiling \mathsf {{\color {RoyalBlue}{C_a}}} with {\color {black}{\left.\mathsf {{\col...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.03670264780521393, 0.030204175040125847, -0.031790655106306076, 0.015147851780056953, -0.012836774811148643, -0.005342935677617788, 0.009236680343747139, 0.006326859351247549, 0.021661579608917236, -0.00044858158798888326, -0.009320581331849098, -0.004740377422422171, -0.00058968691155314...
8f5f15849f0987fde464e6c6721ad1a0db8f1939
subsection
50
510
Proving
Our source language, \mathsf {{\color {RoyalBlue}{L^{\tau }}}}, is similar to \mathsf {{\color {RoyalBlue}{L^{U}}}} but it has a type system that accepts only source programs whose traces the source monitor never rejects. Our target language is mostly unchanged. Our compiler {\color {black}{\left.\mathsf {{\color {Roya...
{ "cite_spans": [ { "arxiv_id": "", "doi": "10.1016/0304-3975(92)90185-i", "end": 1281, "openalex_id": "https://openalex.org/W2055378322", "raw": "Gérard Berry and Gérard Boudol. The chemical abstract machine. Theor. Comput. Sci., 96(1):217–248, 1992.", "source_ref_id": "ae35d9...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.03594699129462242, -0.0019129260908812284, -0.032498765736818314, 0.0011233434779569507, 0.018065040931105614, -0.008277267217636108, 0.012778270058333874, 0.03872387856245041, -0.01182466745376587, 0.01856854371726513, -0.017378447577357292, 0.03045424073934555, 0.002450757659971714, -...
dc2893c6e429d1b62a4b406b4abd63599d7409b9
subsection
51
510
Proving
Every type that is not a subtype of \mathsf {{\color {RoyalBlue}{UN}}} is implicitly trusted and cannot be passed to the context. Untrusted locations are explicitly marked \mathsf {{\color {RoyalBlue}{UN}}} at their allocation points in the program. Other types are deemed shareable via subtyping. Intuitively, a type is...
{ "cite_spans": [ { "arxiv_id": "", "doi": "", "end": 1290, "openalex_id": "https://openalex.org/W2186841663", "raw": "Stephen Chong. Expressive and Enforceable Information Security Policies. PhD thesis, Cornell University, August 2008.", "source_ref_id": "c4bd16441eb9494d0951f...
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.029777023941278458, 0.004033100325614214, -0.0526554249227047, 0.013400423340499401, -0.004639782011508942, 0.013926978223025799, 0.023092074319720268, 0.02216106466948986, 0.004998449701815844, 0.003832780523225665, -0.012644932605326176, 0.003178403479978442, 0.03189850226044655, 0.00...
8e437d084758196fd95cc7811393f5a52347f58b
subsection
52
510
Proving
Monitors \mathsf {{\color {RoyalBlue}{M}}} check at runtime that the set of trusted heap locations \mathsf {{\color {RoyalBlue}{\Delta }}} have values of their intended static types. Accordingly, the description of the monitor includes a list of trusted locations and their expected types (in the form of an environment ...
{ "cite_spans": [] }
1804.00489
Robustly Safe Compilation or, Efficient, Provably Secure Compilation
[ "Marco Patrignani", "Deepak Garg" ]
[ "cs.PL" ]
2,018
en
Computer Science
[ -0.0348757728934288, -0.00124243029858917, -0.034204497933387756, 0.019817858934402466, 0.003909412305802107, -0.009413101710379124, 0.003550890600308776, 0.03600473329424858, 0.008024783805012703, -0.005656252149492502, 0.014615480788052082, -0.0008100111735984683, 0.025004982948303223, 0...