id string | text string | target string | paper_id string | title string | categories string | year int32 | offset int64 | chunk_index int32 | chunk_chars int32 | chunk_overlap int32 | source_dataset string |
|---|---|---|---|---|---|---|---|---|---|---|---|
1001.0115:0:0 | Title: Developing Artificial Herders Using Jason
Abstract: This paper gives an overview of a proposed strategy for the "Cows and
Herders" scenario given in the Multi-Agent Programming Contest 2009. The
strategy is to be implemented using the Jason platform, based on the
agent-oriented programming language Agent-Speak.... | elegate targets to each of the herders – including himself.
?
Contact: jv@imm.dtu.dk
1
Our system was designed using the Prometheus methodology as a guideline.
By this we mean that we have adapted relevant concepts from the methodology,
while not following it too strictly (as stated in [3]). It has allowed us to qui... | 1001.0115 | Developing Artificial Herders Using Jason | cs.MA | 2,010 | 0 | 0 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.0115:2700:1 | elegate targets to each of the herders – including himself.
?
Contact: jv@imm.dtu.dk
1
Our system was designed using the Prometheus methodology as a guideline.
By this we mean that we have adapted relevant concepts from the methodology,
while not following it too strictly (as stated in [3]). It has allowed us to qui... | logic programming, but
allows us to develop imperative extensions as well.
The use of custom architectures in Jason allows us to implement a local
simulation, as described in [1]. This eases the testing, as it can be done much
faster.
As reference implementation we have used an implementation of the 2008
contest made b... | 1001.0115 | Developing Artificial Herders Using Jason | cs.MA | 2,010 | 2,700 | 1 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.0115:5400:2 | logic programming, but
allows us to develop imperative extensions as well.
The use of custom architectures in Jason allows us to implement a local
simulation, as described in [1]. This eases the testing, as it can be done much
faster.
As reference implementation we have used an implementation of the 2008
contest made b... | eat use of a clustering algorithm. The
algorithm works be examining the surroundings of each cow; adjacent cows are
grouped together.
The strategy for herding the cows will be taken care of by the leading agent.
The team leader will coordinate the herding, ensuring that the cows are fleeing
the right way and that an ag... | 1001.0115 | Developing Artificial Herders Using Jason | cs.MA | 2,010 | 5,400 | 2 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.0115:8100:3 | eat use of a clustering algorithm. The
algorithm works be examining the surroundings of each cow; adjacent cows are
grouped together.
The strategy for herding the cows will be taken care of by the leading agent.
The team leader will coordinate the herding, ensuring that the cows are fleeing
the right way and that an ag... | o long time to compute, since the duration of a turn is limited.
At the time of writing this article our implementation is complete. However,
the contest has been postponed until after the deadline of the article, so we are
unable to discuss the results. We have managed to play a single training match
against another t... | 1001.0115 | Developing Artificial Herders Using Jason | cs.MA | 2,010 | 8,100 | 3 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:0:0 | Title: Toward a Compositional Theory of Leftist Grammars and Transformations
Abstract: Leftist grammars [Motwani et al., STOC 2000] are special semi-Thue systems
where symbols can only insert or erase to their left. We develop a theory of
leftist grammars seen as word transformers as a tool toward rigorous analyses
of... | s expressive since they can only recognize regular languages. Then
Jurdziński showed a PSPACE lower bound for accessibility in leftist grammars [Jur07],
before improving this to a nonprimitive-recursive lower bound [Jur08].
Jurdziński’s results rely on encoding classical computational structures (linear-boun-
ded aut... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 0 | 0 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:2700:1 | s expressive since they can only recognize regular languages. Then
Jurdziński showed a PSPACE lower bound for accessibility in leftist grammars [Jur07],
before improving this to a nonprimitive-recursive lower bound [Jur08].
Jurdziński’s results rely on encoding classical computational structures (linear-boun-
ded aut... | lized version of the completeness of greedy
derivations. Sections 4 introduces leftist transformers and their sequential compositions.
Section 5 specializes on the “simple” transformers that we use in Section 6 for our
encoding of 3SAT. Finally Section 7 shows that so-called “anchored” transformers are
closed under the... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 2,700 | 1 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:5400:2 | lized version of the completeness of greedy
derivations. Sections 4 introduces leftist transformers and their sequential compositions.
Section 5 specializes on the “simple” transformers that we use in Section 6 for our
encoding of 3SAT. Finally Section 7 shows that so-called “anchored” transformers are
closed under the... | ]).
Leftist grammars are not context-free (deletions are contextual), or even context-
sensitive (deletions are not length-preserving). For our purposes, we consider them
as string rewrite systems, more precisely semi-Thue systems. Writing Σg for Σ ∪ {g},
the rules of P define a 1-step rewrite relation in the standard ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 5,400 | 2 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:8100:3 | ]).
Leftist grammars are not context-free (deletions are contextual), or even context-
sensitive (deletions are not length-preserving). For our purposes, we consider them
as string rewrite systems, more precisely semi-Thue systems. Writing Σg for Σ ∪ {g},
the rules of P define a 1-step rewrite relation in the standard ... | “has type τ” when τG is a sub-graph of τ. Thus a “type” is just a
restriction on what are the allowed symbols and rules between them. Types are often
given schematically, grouping symbols that play a similar role into a single vertex. For
insertion:
Σ g
deletion:
Fig. 1. Universal type (schematically).
example, Fig. ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 8,100 | 3 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:10800:4 | “has type τ” when τG is a sub-graph of τ. Thus a “type” is just a
restriction on what are the allowed symbols and rules between them. Types are often
given schematically, grouping symbols that play a similar role into a single vertex. For
insertion:
Σ g
deletion:
Fig. 1. Universal type (schematically).
example, Fig. ... | ufficient). Every derivation π has an equiv-
alent greedy derivation π′ .
Proof. With a derivation π of the form u0 ⇒r1 ,p1 u1 ⇒r2 ,p2 u2 · · · ⇒rn ,pn un , we associate
def
its measure µ(π) = hn, p1 , . . . , pn i, a (n + 1)-tuple of numbers. Measures are linearly
ordered with the lexicographic ordering, giving rise ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 10,800 | 4 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:13500:5 | ufficient). Every derivation π has an equiv-
alent greedy derivation π′ .
Proof. With a derivation π of the form u0 ⇒r1 ,p1 u1 ⇒r2 ,p2 u2 · · · ⇒rn ,pn un , we associate
def
its measure µ(π) = hn, p1 , . . . , pn i, a (n + 1)-tuple of numbers. Measures are linearly
ordered with the lexicographic ordering, giving rise ... | = B ∪C contains the “working” symbols,
A D g
Fig. 2. Type of leftist transformers.
A consequence of the restrictions imposed on LTr’s is the following:
Fact 4.1 A∗ D∗ is an invariant in any LTr G = (A, D, P, g).
With G = (A, B,C, P, g), we associate a transformation (a relation between words)
RG ⊆ A∗ × C∗ defined b... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 13,500 | 5 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:16200:6 | = B ∪C contains the “working” symbols,
A D g
Fig. 2. Type of leftist transformers.
A consequence of the restrictions imposed on LTr’s is the following:
Fact 4.1 A∗ D∗ is an invariant in any LTr G = (A, D, P, g).
With G = (A, B,C, P, g), we associate a transformation (a relation between words)
RG ⊆ A∗ × C∗ defined b... | the insertion rules.
The insertion relation IG ⊆ Σ∗ × Σ∗ associated with an insertion grammar G =
def
(Σ, P, g) is defined by u IG v ⇔ ug ⇒∗G vg. Obviously, IG ⊆ ⊑Σ . Observe that IG is not
necessarily a leftist transformation since it does not require any separation between in-
put and output symbols.
A simple leftis... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 16,200 | 6 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:18900:7 | the insertion rules.
The insertion relation IG ⊆ Σ∗ × Σ∗ associated with an insertion grammar G =
def
(Σ, P, g) is defined by u IG v ⇔ ug ⇒∗G vg. Obviously, IG ⊆ ⊑Σ . Observe that IG is not
necessarily a leftist transformation since it does not require any separation between in-
put and output symbols.
A simple leftis... | iva-
tion u ⇒n v (respectively, a derivation u ⇒≤n v of non-exact length at most n) between
given u and v. These questions are among the simplest reachability questions and, since
we consider that the input n is given in unary,2 they are obviously in NP for leftist
grammars (and all semi-Thue systems).
2 It is natural ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 18,900 | 7 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:21600:8 | iva-
tion u ⇒n v (respectively, a derivation u ⇒≤n v of non-exact length at most n) between
given u and v. These questions are among the simplest reachability questions and, since
we consider that the input n is given in unary,2 they are obviously in NP for leftist
grammars (and all semi-Thue systems).
2 It is natural ... | V j ∪V j′ , so that Σ is partitioned in levels with Σ = j=0 W j . With each x j ∈ X
we associate two intermediary LTr’s:
def def
G⊤j = (W j−1 , ∅,V j , Pj , g), G⊥j = (W j−1 , ∅,V j′ , P′j , g)
with sets of rules Pj and P′j . The rules for G⊤j are given in Fig. 5: some deletion rules are
conditional, depending on whet... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 21,600 | 8 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:24300:9 | V j ∪V j′ , so that Σ is partitioned in levels with Σ = j=0 W j . With each x j ∈ X
we associate two intermediary LTr’s:
def def
G⊤j = (W j−1 , ∅,V j , Pj , g), G⊥j = (W j−1 , ∅,V j′ , P′j , g)
with sets of rules Pj and P′j . The rules for G⊤j are given in Fig. 5: some deletion rules are
conditional, depending on whet... | erations for the composition
of the LTr’s, can be carried out in logarithmic space. ⊓
⊔
6.2 Correctness of the Reduction
j j j j
We say that a word u is j-clean if it has exactly m symbols and if u[i] ∈ {Ti , T ′ i ,Ui ,U ′ i }
for all i = 1, . . . , m. It is ⊤-homogeneous (resp. ⊥-homogeneous) if it does not contain
... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 24,300 | 9 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:27000:10 | erations for the composition
of the LTr’s, can be carried out in logarithmic space. ⊓
⊔
6.2 Correctness of the Reduction
j j j j
We say that a word u is j-clean if it has exactly m symbols and if u[i] ∈ {Ti , T ′ i ,Ui ,U ′ i }
for all i = 1, . . . , m. It is ⊤-homogeneous (resp. ⊥-homogeneous) if it does not contain
... | two assumptions on Φ that are no loss of generality. First we require
that no clause Ci contains both a literal and its negation, hence no Ci is tautologically
def
valid. Then u0 = U10 · · ·Um0 codes the empty valuation θ0 . Second, we require that Φ
is only satisfiable with bn = ⊤ (which can be easily ensured by addin... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 27,000 | 10 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:29700:11 | two assumptions on Φ that are no loss of generality. First we require
that no clause Ci contains both a literal and its negation, hence no Ci is tautologically
def
valid. Then u0 = U10 · · ·Um0 codes the empty valuation θ0 . Second, we require that Φ
is only satisfiable with bn = ⊤ (which can be easily ensured by addin... | ′′n | = m (it respects θ) and u′′n ⊑ un , we
deduce that u′′n = un . Finally, θ |= Φ since u′′n respects θ and u′′n = un = T1n · · · Tmn . ⊓
⊔
Corollary 6.9. µ-Minimality of a derivation is coNP-hard.
Proof (Sketch). We define G′Φ by taking GΦ , adding k extra symbols a1 , . . . , ak , and
adding the following two se... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 29,700 | 11 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:32400:12 | ′′n | = m (it respects θ) and u′′n ⊑ un , we
deduce that u′′n = un . Finally, θ |= Φ since u′′n respects θ and u′′n = un = T1n · · · Tmn . ⊓
⊔
Corollary 6.9. µ-Minimality of a derivation is coNP-hard.
Proof (Sketch). We define G′Φ by taking GΦ , adding k extra symbols a1 , . . . , ak , and
adding the following two se... | et b1 , b2 6∈ A ∪C. The ALTr Rb2 ,b1 = (C, b2 , b1 , A, PR , g) with
def g ai , ai a j , ai b1
PR = for all i, j = 1, . . . , n
ai ci , b 1 b2
is called a renamer (of C to A), and often shortly written R. Observe that R : C ⊢ A is
indeed an ALTr. It further satisfies SR = ≈ . ⊑ .h̄.
We shall now glue an ALTr G : A ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 32,400 | 12 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:35100:13 | et b1 , b2 6∈ A ∪C. The ALTr Rb2 ,b1 = (C, b2 , b1 , A, PR , g) with
def g ai , ai a j , ai b1
PR = for all i, j = 1, . . . , n
ai ci , b 1 b2
is called a renamer (of C to A), and often shortly written R. Observe that R : C ⊢ A is
indeed an ALTr. It further satisfies SR = ≈ . ⊑ .h̄.
We shall now glue an ALTr G : A ... | ols. Let H = (Σ, PH , g) be the LGr such that and PH = P′ ∪ PR′ .
Essentially, H is a union of the two wrapping ALTr’s. (See Fig. 7 in App. E.2 for a
schematic description). Note that H is not a LTr since it does not respect any distinc-
tion between input, intermediary, and output symbols.
Lemma 7.4 (See App. E.3). Le... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 35,100 | 13 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:37800:14 | ols. Let H = (Σ, PH , g) be the LGr such that and PH = P′ ∪ PR′ .
Essentially, H is a union of the two wrapping ALTr’s. (See Fig. 7 in App. E.2 for a
schematic description). Note that H is not a LTr since it does not respect any distinc-
tion between input, intermediary, and output symbols.
Lemma 7.4 (See App. E.3). Le... | e the modularity is essen-
tial not so much for building complex grammars. Rather, it is essential for proving their
correctness by a divide-and-conquer approach, in the way we proved the correctness of
our encoding of 3SAT instances in Section 6.
As another direction for future work, we would like to mention that the ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 37,800 | 14 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:40500:15 | e the modularity is essen-
tial not so much for building complex grammars. Rather, it is essential for proving their
correctness by a divide-and-conquer approach, in the way we proved the correctness of
our encoding of 3SAT instances in Section 6.
As another direction for future work, we would like to mention that the ... | π′ <µ π. ⊓
⊔
In the rest of this section, we consider a generic transformation π of the form
u0 ⇒r1 ,p1 u1 ⇒r2 ,p2 u2 · · · ⇒rn ,pn un in the context of some LGr G = (Σ, P, g).
Lemma A.4. A µ-minimal derivation is leftmost.
Proof. Assume π is not leftmost. Then it contains a step ui−1 = w1 aw2 ⇒ w′1 aw2 = ui
where w1 i... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 40,500 | 15 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:43200:16 | π′ <µ π. ⊓
⊔
In the rest of this section, we consider a generic transformation π of the form
u0 ⇒r1 ,p1 u1 ⇒r2 ,p2 u2 · · · ⇒rn ,pn un in the context of some LGr G = (Σ, P, g).
Lemma A.4. A µ-minimal derivation is leftmost.
Proof. Assume π is not leftmost. Then it contains a step ui−1 = w1 aw2 ⇒ w′1 aw2 = ui
where w1 i... | rted and necessarily
v = ε. We obtain uRG1 .RG2 v by observing that uRG1 ε (as witnessed by π) and that εRG2 ε
(true of all leftist transformations).
2. Otherwise, we isolate the first G2 step and write π under the form
1π π2
z }| { z }| {
ug ⇒G1 wg ⇒G2 w′ g ⇒∗G1 .G2 ug.
∗
Necessarily, w ∈ A∗1 D∗1 (Fact 4.1) and, sinc... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 43,200 | 16 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:45900:17 | rted and necessarily
v = ε. We obtain uRG1 .RG2 v by observing that uRG1 ε (as witnessed by π) and that εRG2 ε
(true of all leftist transformations).
2. Otherwise, we isolate the first G2 step and write π under the form
1π π2
z }| { z }| {
ug ⇒G1 wg ⇒G2 w′ g ⇒∗G1 .G2 ug.
∗
Necessarily, w ∈ A∗1 D∗1 (Fact 4.1) and, sinc... | ed as h′ (1) = 1 and h′ (i + 1) = h(i). ⊓
⊔
E Proofs for Section 7
g
kept
A ∪ {b1 } D kept
mirror
replace
A′ ∪ {b′1 } D′ r {b′1 } clean
clean
b-rules
b-rules
1 2
Fig. 6. A schematic type for FG, 1 , 2 .
iv Technical appendix, not for the proceedings version.
E.1 Proof of Lemma 7.2
1. We first prove, by indu... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 45,900 | 17 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:48600:18 | ed as h′ (1) = 1 and h′ (i + 1) = h(i). ⊓
⊔
E Proofs for Section 7
g
kept
A ∪ {b1 } D kept
mirror
replace
A′ ∪ {b′1 } D′ r {b′1 } clean
clean
b-rules
b-rules
1 2
Fig. 6. A schematic type for FG, 1 , 2 .
iv Technical appendix, not for the proceedings version.
E.1 Proof of Lemma 7.2
1. We first prove, by indu... | not for the proceedings version. v
g
kept kept
kept A ∪ {b1 } D kept
mirror mirror
replace
clean A′ ∪ {b′1 } D′ r {b′1 } clean
clean
b-rules b-rules
1 b-rules 2
Fig. 7. Type of HG .
Proof. We only prove the first invariant, the other two rely on similar arguments. Let
w = u.l. .v with l ∈ A ∪ D and ∈ Σ . The i... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 48,600 | 18 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:51300:19 | not for the proceedings version. v
g
kept kept
kept A ∪ {b1 } D kept
mirror mirror
replace
clean A′ ∪ {b′1 } D′ r {b′1 } clean
clean
b-rules b-rules
1 b-rules 2
Fig. 7. Type of HG .
Proof. We only prove the first invariant, the other two rely on similar arguments. Let
w = u.l. .v with l ∈ A ∪ D and ∈ Σ . The i... | tion is at the head of X or
inside it),
– 2 :
• 2 1 leads to LCA (since necessarily in this case n1 = 0, n2 = 1, n3 = 0,
n4 > 0, and n5 > 0),
• 2 a′ , a′ ∈ A′ ∪ b′1 stays in LAC ,
– some letter x ∈ A ∪ b1 in Y :
• x a or x a, a ∈ A ∪ b1 stays in LAC ,
• x a′ , a′ ∈ A′ ∪ b′1 stays in LAC if inserted at the head of Y , i... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 51,300 | 19 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:54000:20 | tion is at the head of X or
inside it),
– 2 :
• 2 1 leads to LCA (since necessarily in this case n1 = 0, n2 = 1, n3 = 0,
n4 > 0, and n5 > 0),
• 2 a′ , a′ ∈ A′ ∪ b′1 stays in LAC ,
– some letter x ∈ A ∪ b1 in Y :
• x a or x a, a ∈ A ∪ b1 stays in LAC ,
• x a′ , a′ ∈ A′ ∪ b′1 stays in LAC if inserted at the head of Y , i... | one 1 , at least one
of the two is deleted. Since Σ∗ .( 1 + 2 ).Σ∗ is an invariant, if
the leftmost 1 is not deleted, the word will stay in 1 .Σ∗ .( 1 +
2 ).Σ∗ .
So there is a subderivation of the form
1 .X.y.Z ′′ .g ⇒r0 1 .X.y.Z ′ .T.a.g ⇒r1 2 .x.g
⇒r2 1 .x′ .g ⇒r3 1 .β.T.g
viii Technical appendix, not for the proce... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 54,000 | 20 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:56700:21 | one 1 , at least one
of the two is deleted. Since Σ∗ .( 1 + 2 ).Σ∗ is an invariant, if
the leftmost 1 is not deleted, the word will stay in 1 .Σ∗ .( 1 +
2 ).Σ∗ .
So there is a subderivation of the form
1 .X.y.Z ′′ .g ⇒r0 1 .X.y.Z ′ .T.a.g ⇒r1 2 .x.g
⇒r2 1 .x′ .g ⇒r3 1 .β.T.g
viii Technical appendix, not for the proce... | nd the first step is in 1 .(A′ + b′1)+ .(A + b1)+ .
Next, we notice that since from a step 2 .(D′ rb′1 )+ .(Drb1 )+ ⇒ 2 .(D′ rb′1 )+ .(Dr
b1 ) .A (included) to a step 1 .(A′ + b′1 )+ .(A + b1 )+ ⇒ 1 .(A′ + b′1 )+ .(A + b1 )+ .(D r
+
b1 ) (excluded) there are only letters from 1 + A′ + A + b1 + b′1 + g active and g onl... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 56,700 | 21 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5047:59400:22 | nd the first step is in 1 .(A′ + b′1)+ .(A + b1)+ .
Next, we notice that since from a step 2 .(D′ rb′1 )+ .(Drb1 )+ ⇒ 2 .(D′ rb′1 )+ .(Dr
b1 ) .A (included) to a step 1 .(A′ + b′1 )+ .(A + b1 )+ ⇒ 1 .(A′ + b′1 )+ .(A + b1 )+ .(D r
+
b1 ) (excluded) there are only letters from 1 + A′ + A + b1 + b′1 + g active and g onl... | ä′ ¨1 , for ä′ ∈ Ä′ ∪ b¨′1 ,
¨1 o1 ,
o1 ˙2 .
We let the reader check that these rules ensure the satisfaction of (T1 -spec).
def ...
We further define T2 = (Ä ∪ Ä′ ∪ {b¨1 , b¨′1 , ¨1 }, {o1 , o2 }, A , o1 , o2 , P2 , g) with the fol-
lowing set of rules:
... ... ...
all g ai , for ai ∈ A , ...
... ... ... ...
all ... | 1001.5047 | Toward a Compositional Theory of Leftist Grammars and Transformations | cs.FL | 2,012 | 59,400 | 22 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5275:0:0 | Title: An Agent-Based Modeling for Pandemic Influenza in Egypt
Abstract: Pandemic influenza has great potential to cause large and rapid increases in
deaths and serious illness. The objective of this paper is to develop an
agent-based model to simulate the spread of pandemic influenza (novel H1N1) in
Egypt. The propos... | creates the entire populations and their dynamics
measure the effectiveness of different control strategies to through incorporating social structures, heterogeneous
intervene the pandemic spread. connectivity patterns, and meta-population grouping at the
scale of the single individual [3].
Keywords In this paper we pr... | 1001.5275 | An Agent-Based Modeling for Pandemic Influenza in Egypt | cs.MA cs.CY | 2,010 | 0 | 0 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5275:2700:1 | creates the entire populations and their dynamics
measure the effectiveness of different control strategies to through incorporating social structures, heterogeneous
intervene the pandemic spread. connectivity patterns, and meta-population grouping at the
scale of the single individual [3].
Keywords In this paper we pr... | es spread has resulted in several attempts However, mathematical models had not taken into account
to model and predict the pattern of many different spatial and temporal factors such as variable population
communicable diseases through a population [5]. The structure, and dynamics of daily individuals' interactions
ea... | 1001.5275 | An Agent-Based Modeling for Pandemic Influenza in Egypt | cs.MA cs.CY | 2,010 | 2,700 | 1 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
1001.5275:5400:2 | es spread has resulted in several attempts However, mathematical models had not taken into account
to model and predict the pattern of many different spatial and temporal factors such as variable population
communicable diseases through a population [5]. The structure, and dynamics of daily individuals' interactions
ea... | ge extra tracking of the
N = S (t ) + I (t ) + R(t ) (1) effect of the social interactions of individual entities [1].
Upon contact with an infected a susceptible individual Agent-based model consists of a population of agents, an
environment, and set of rules managing agents' behavior
contracts the disease with probab... | 1001.5275 | An Agent-Based Modeling for Pandemic Influenza in Egypt | cs.MA cs.CY | 2,010 | 5,400 | 2 | 3,000 | 300 | /arxiv/huggingface/paper_text_1m_dedup_v1 |
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