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sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session7Exercises_ExerciseBinarySearch_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
2,087
ba236cd6adf86b419b41c253a52c307480bebc7da2a789db2fd464f7dd0e746d
predicate sorted(s : seq<int>) { forall u, w :: 0 <= u < w < |s| ==> s[u] <= s[w] } method binarySearch(v:array<int>, elem:int) returns (p:int) requires sorted(v[0..v.Length]) ensures -1<=p<v.Length ensures (forall u::0<=u<=p ==> v[u]<=elem) && (forall w::p<w<v.Length ==> v[w]>elem) { var c,f:=0,v.Leng...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session7Exercises_ExerciseBubbleSort_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,301
22e64bfc08c3f314d9425d57237b46294e9e2ea3a4ed65a39fc57d0e28744d6d
predicate sorted_seg(a:array<int>, i:int, j:int) //j excluded requires 0 <= i <= j <= a.Length reads a { forall l, k :: i <= l <= k < j ==> a[l] <= a[k] } method bubbleSorta(a:array<int>, c:int, f:int)//f excluded modifies a requires 0 <= c <= f <= a.Length //when c==f empty sequence ensures sorted_seg(...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session7Exercises_ExerciseReplace_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
336
6a6e520c7e03292e80a5b45ea251560870bb701872b4bc401f53499c086c0189
method replace(v:array<int>, x:int, y:int) modifies v ensures forall k::0<=k<old(v.Length) && old(v[k])==x ==> v[k]==y ensures forall k::0<=k<old(v.Length) && old(v[k])!=x ==> v[k]==old(v[k]) { var i:=0; while(i<v.Length) { if(v[i]==x){ v[i]:=y; } i:=i+...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session7Exercises_ExerciseSelSort_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
703
eb90a8dbeb354df09ddc8614c6c320d6105efd9d5f7757749f6345e79ae1fc7e
predicate sorted_seg(a:array<int>, i:int, j:int) //j not included requires 0 <= i <= j <= a.Length reads a { forall l, k :: i <= l <= k < j ==> a[l] <= a[k] } method selSort (a:array<int>, c:int, f:int)//f excluded modifies a requires 0 <= c <= f <= a.Length //when c==f empty sequence ensures sorted_s...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session7Exercises_ExerciseSeparate_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
929
a921558b5bdfcab99ebb4eccb5729fe955c8d58016846d43ed1ef188e858a4f5
predicate strictNegative(v:array<int>,i:int,j:int) reads v requires 0<=i<=j<=v.Length {forall u | i<=u<j :: v[u]<0} predicate positive(s:seq<int>) {forall u::0<=u<|s| ==> s[u]>=0} predicate isPermutation(s:seq<int>, t:seq<int>) {multiset(s)==multiset(t)} /** returns an index st new array is a permutation...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session8Exercises_ExerciseInsertionSort_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
622
0887fc77fc7e41206c4b0d70351e9dbac36c0088a0b74b90a0881229bf3db120
predicate sorted_seg(a:array<int>, i:int, j:int) //i and j included requires 0 <= i <= j+1 <= a.Length reads a { forall l, k :: i <= l <= k <= j ==> a[l] <= a[k] } method InsertionSort(a: array<int>) modifies a; ensures sorted_seg(a,0,a.Length-1) ensures multiset(a[..]) == old(multiset(a[..])) /...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Exercises_tmp_tmpjm75muf__Session9Exercises_ExerciseSeqMaxSum_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,378
7373ffff8c326447c7c3f691afe00f5721587490cebf688ad85305b6dae4508e
function Sum(v:array<int>,i:int,j:int):int reads v requires 0<=i<=j<=v.Length { if (i==j) then 0 else Sum(v,i,j-1)+v[j-1] } predicate SumMaxToRight(v:array<int>,i:int,s:int) reads v requires 0<=i<v.Length { forall l,ss {:induction l}::0<=l<=i && ss==i+1==> Sum(v,l,ss)<=s } method segMaxSum(...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_absIt_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
820
0bcd2ba088734f4ab5851a552176ee8b74a68a36871d0e94367ec6af4efd1ad3
method AbsIt(s: array<int>) modifies s ensures forall i :: 0 <= i < s.Length ==> if old(s[i]) < 0 then s[i] == -old(s[i]) else s[i] == old(s[i]) ensures s.Length == old(s).Length { var i: int := 0; while i < s.Length { if (s[i] < 0) { s[i] := -s[i]; } i := i + 1; } } method Tester() {...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_appendArray_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
447
be1bef3cee54660e8817776dd44b941e6baa26ac0e128be08bbfc7e2fb0447a1
method appendArray(a: array<int>, b: array<int>) returns (c: array<int>) ensures c.Length == a.Length + b.Length ensures forall i :: 0 <= i < a.Length ==> a[i] == c[i] ensures forall i :: 0 <= i < b.Length ==> b[i] == c[a.Length + i] { c := new int[a.Length + b.Length]; var i := 0; while i < a.Length { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_countNeg_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
495
b6b2692b25bcad988bae0e04b20cea0127c45cbf16c071dbd0d7eb361b1d636e
function verifyNeg(a: array<int>, idx: int) : nat reads a requires 0 <= idx <= a.Length { if idx == 0 then 0 else verifyNeg(a, idx - 1) + (if a[idx - 1] < 0 then 1 else 0) } method CountNeg(a: array<int>) returns (cnt: nat) ensures cnt == verifyNeg(a, a.Length) { var i := 0; cnt := 0; while i < a.L...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_filter_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
953
ea0e67c041ed35a9983b1aa903094f12f08028e3bd707f2f8ce7c36102181adb
method Filter(a:seq<char>, b:set<char>) returns(c:set<char>) ensures forall x :: x in a && x in b <==> x in c { var setA: set<char> := set x | x in a; c := setA * b; } method TesterFilter() { var v:set<char> := {'a','e','i','o','u'}; // vowels to be used as a filter var s:seq<char> := "ant-egg-ink...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_firstE_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
489
951ad6eb8720ed41fed7803c0dd5070d38841010ba3ed76107f6acbb96b047cc
method firstE(a: array<char>) returns (x: int) ensures if 'e' in a[..] then 0 <= x < a.Length && a[x] == 'e' && forall i | 0 <= i < x :: a[i] != 'e' else x == -1 { var i: int := 0; while i < a.Length { if (a[i] == 'e') { return i; } i := i + 1; } return -1; } method Main() { var a: arra...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_maxArray_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
411
337b889561057f88eaae02250d5d439b686126551545582aa4b9e67312335a5a
method MaxArray(a: array<int>) returns (max:int) requires a.Length > 0 ensures forall i :: 0 <= i < a.Length ==> a[i] <= max ensures exists i :: 0 <= i < a.Length && a[i] == max { var i: nat := 1; max := a[0]; while i < a.Length { if (a[i] > max) { max := a[i]; } i := i + 1; } } method Ma...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_prac1_ex1_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
389
6f71e6122bf9bf6f27782a7b31a4b653f91091fa02f976e4c69517541ddb4b4b
predicate acheck(a: array<int>, n: int) reads a requires n >= 1 { a.Length % 2 == 0 && forall i :: 0 <= i < a.Length ==> if i % n == 0 then a[i] == 0 else a[i] != 0 } method Main() { var arr: array<int> := new int[][0,42,0,42]; var res := acheck(arr, 2); arr := new int[][]; res := acheck(arr...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_prac1_ex2_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
619
b00a78a61f5feee465645afd2ff733f8e5bb7178ea213af7f1df560684f0015d
method Deli(a: array<char>, i: nat) modifies a requires a.Length > 0 requires 0 <= i < a.Length ensures forall j :: 0 <= j < i ==> a[j] == old(a[j]) ensures forall j :: i <= j < a.Length - 1 ==> a[j] == old(a[j + 1]) ensures a[a.Length - 1] == '.' { var c := i; while c < a.Length - 1 // unchanged first hal...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_prac3_ex2_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
454
fee1b5610bdd31bc94916db257b2627dcfa3864c1a8b48371e24e9bc37dbe0cb
method GetEven(s: array<nat>) modifies s ensures forall i :: 0 <= i < s.Length ==> if old(s[i]) % 2 == 1 then s[i] == old(s[i]) + 1 else s[i] == old(s[i]) { var i := 0; while i < s.Length if old(s[j]) % 2 == 1 then s[j] == old(s[j]) + 1 else s[j] == old(s[j]) { if s[i] % 2 == 1 { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_prac4_ex2_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,056
0729c0c26c520edaf71617da8238c553c9f41b61467d4a8689b2ba260258c750
predicate triple(a: array<int>) reads a { exists i :: 0 <= i < a.Length - 2 && a[i] == a[i + 1] == a[i + 2] } method GetTriple(a: array<int>) returns (index: int) ensures 0 <= index < a.Length - 2 || index == a.Length ensures index == a.Length <==> !triple(a) ensures 0 <= index < a.Length - 2 <==> triple(a)...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_reverse_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
518
d51d02d23d6bde4a930fefba0a1e79ed9db3867dc186c7bd69d723caed2b0aa6
method Reverse(a: array<char>) returns (b: array<char>) requires a.Length > 0 ensures a == old(a) ensures b.Length == a.Length ensures forall i :: 0 <= i < a.Length ==> b[i] == a[a.Length - i - 1] { b := new char[a.Length]; var i := 0; while i < a.Length { b[i] := a[a.Length - i - 1]; i := i + 1; }...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-exercise_tmp_tmpouftptir_zapNegatives_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
429
d35a5000a84581bd1c83626336aa45ebf7cd7a8702d140197e23210bd4afb170
method ZapNegatives(a: array<int>) modifies a ensures forall i :: 0 <= i < a.Length ==> if old(a[i]) < 0 then a[i] == 0 else a[i] == old(a[i]) ensures a.Length == old(a).Length { var i := 0; while i < a.Length else a[j] == old(a[j]) { if a[i] < 0 { a[i] := 0; } i := i + ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-experiences_tmp_tmp150sm9qy_dafny_started_tutorial_dafny_tutorial_array_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
459
0663e5d3af65fc57b0c5bc879584a9fba2699f58333a4d97d649ff91a8613f75
method FindMax(a: array<int>) returns (i: int) // Annotate this method with pre- and postconditions // that ensure it behaves as described. requires a.Length > 0 ensures 0<= i < a.Length ensures forall k :: 0 <= k < a.Length ==> a[k] <= a[i] { // Fill in the body that calculates the INDEX of the maxi...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Grind75_tmp_tmpsxfz3i4r_problems_twoSum_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,318
ef5931905893044d9389cb836ab50c05322c14cc28fa47516dd1ef56d1bd0a97
/* https://leetcode.com/problems/two-sum/ function twoSum(nums: number[], target: number): number[] { const n = nums.length; for(let i = 0; i < n; i++) { for(let k = i+1; k < n; k++) { if(nums[i] + nums[k] == target) return [i,k]; } } }; */ predicate summingPair(i: na...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_allocated1_dafny0_fun-with-slices_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,632
73055686e2c8114c04105aeb2380f400639d652c378571270fe5783cf6dca790
// RUN: %dafny /verifyAllModules /allocated:1 /compile:0 /print:"%t.print" /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This test was contributed by Bryan. It has shown some instabilities in the past. method seqIntoArray<A>(s: seq<A>, a: array<A>, index: nat) requires index + |s| <= a.Len...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_comp_Arrays_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
2,480
3b50c0017176514502d05338789c91dd99230fa5d8f8e89ec328c4c310069c4f
// RUN: %dafny /compile:3 /spillTargetCode:2 /compileTarget:cs "%s" > "%t" // RUN: %dafny /compile:3 /spillTargetCode:2 /compileTarget:js "%s" >> "%t" // RUN: %dafny /compile:3 /spillTargetCode:2 /compileTarget:go "%s" >> "%t" // RUN: %dafny /compile:3 /spillTargetCode:2 /compileTarget:java "%s" >> "%t" // RUN: %di...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny0_FuelTriggers_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
521
e0273d3530a282c327792242730b18cf3c0919b9db91da6b5d2334e493db9fd5
// RUN: %dafny /ironDafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // In one version of opaque + fuel, the following failed to verify // because the quantifier in the requires used a trigger that included // StartFuel_P, while the assert used StartFuelAssert_P. ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny0_snapshots_Inputs_Snapshots0_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
66
1a2f7e326340400d69afef8fb153017cda99a29851d7f54364a8d0d593365ff7
method foo() { bar(); } method bar() ensures false;
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny1_Cubes_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
379
c2b95ce16b4fb2cd29c129069163412d4dc7a33d53f7abb3b50facc91290a631
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" method Cubes(a: array<int>) modifies a ensures forall i :: 0 <= i < a.Length ==> a[i] == i*i*i { var n := 0; var c := 0; var k := 1; var m := 6; while n < a.Length { a[n] := c; c := c + k; ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny1_ListReverse_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
694
143002759768aad4a69b59feba039a10500a3ec4aed0bf85ce134be6d4ffeb12
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Node { var nxt: Node? method ReverseInPlace(x: Node?, r: set<Node>) returns (reverse: Node?) requires x == null || x in r; requires (forall y :: y in r ==> y.nxt == null || y.nxt in r); // region closur...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny1_MatrixFun_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
2,237
166e3853a8fdced9f3ca973e2c2564980a819f3bc1070f6daabecdd07035e7b8
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" method MirrorImage<T>(m: array2<T>) modifies m ensures forall i,j :: 0 <= i < m.Length0 && 0 <= j < m.Length1 ==> m[i,j] == old(m[i, m.Length1-1-j]) { var a := 0; while a < m.Length0 m...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny2_COST-verif-comp-2011-1-MaxArray_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
3,018
8863a3d67c35442db5fe717a27bf2b359a185945cca1b9f1f4ae2cd3508418fb
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" /* Rustan Leino, 5 Oct 2011 COST Verification Competition, Challenge 1: Maximum in an array http://foveoos2011.cost-ic0701.org/verification-competition Given: A non-empty integer array a. Verify that the index return...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny2_Intervals_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,553
68592a0665d7679107d5f8e9b82f5c9634483bb33f2d650f1acdb6a93efe8ffe
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // The RoundDown and RoundUp methods in this file are the ones in the Boogie // implementation Source/AbsInt/IntervalDomain.cs. class Rounding { var thresholds: array<int> function Valid(): bool reads this, thr...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny2_SegmentSum_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
683
7d46365e7dfa81414c4a5f6b7074ad80db41d17134bf2e24fc1a743076419bc7
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" function Sum(a: seq<int>, s: int, t: int): int requires 0 <= s <= t <= |a| { if s == t then 0 else Sum(a, s, t-1) + a[t-1] } method MaxSegSum(a: seq<int>) returns (k: int, m: int) ensures 0 <= k <= m <= |a| ens...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny2_TreeBarrier_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
3,411
302be9afb90cb22011bbb791c3e201feab1e1929c8fd25ff9465c50dec106481
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Node { var left: Node? var right: Node? var parent: Node? var anc: set<Node> var desc: set<Node> var sense: bool var pc: int predicate validDown() reads this, desc { this !in desc ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny2_TuringFactorial_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
454
71ae3c755808a3942099901794fc068b63b20fa602505b28489603dc4f60f361
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" function Factorial(n: nat): nat { if n == 0 then 1 else n * Factorial(n-1) } method ComputeFactorial(n: int) returns (u: int) requires 1 <= n; ensures u == Factorial(n); { var r := 1; u := 1; while (r < ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny3_InductionVsCoinduction_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
3,881
80af4ef430ec47ba52b4c505439c5772b3654ce6c932d93bdbf90806102a8b49
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // A definition of a co-inductive datatype Stream, whose values are possibly // infinite lists. codatatype Stream<T> = SNil | SCons(head: T, tail: Stream<T>) /* A function that returns a stream consisting of all integer...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Bug144_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
384
abb9d401bd0e3cba81d7a7b61f69d3dea67a8b7e296df6159175d486c65bc325
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" predicate p(i:int) method m1() method m2() { assume exists i :: p(i); m1(); } class Test { var arr : array<int>; predicate p(i: int) method foo() requires arr.Length > 0 modifies arr { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Bug165_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
395
8a594498f395e699632675f378f7d9f7bd734a3bcf03df2983d6ef245c3f4678
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" type T function f(a: T) : bool method Select(s1: seq<T>) returns (r: seq<T>) ensures (forall e: T :: f(e) ==> multiset(s1)[e] == multiset(r)[e]) ensures (forall e: T :: (!f(e)) ==> 0 == multiset(r)[e]) method Main(s1: seq<T>) { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Bug58_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
369
88f65460fcd5c02e1dff03858b984e4124db0697294a6854d06ceccd914c1748
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" function M1(f:map<int, bool>, i:int):bool function M2(f:map<int, bool>, i:int):bool { M1(map j | j in f :: f[j], i) } lemma L(f:map<int, bool>, i:int) requires i in f; requires M2(f, i); requires forall j:int, f:map<in...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Bug92_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,642
e3b268ce89d2b529ef387e8b7bad9b01901e9cbf70e6b6fb3f8a91de90bc2269
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" module ModOpaque { function {:opaque} Hidden(x:int) : (int, int) { (5, 7) } function Visible(x:int) : (int, int) { Hidden(x) } lemma foo(x:int, y:int, z:int) requires (y, z) == Visib...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Fstar-QuickSort_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
4,032
84cb8c515e93add108316ce738b764fee4fa88a83ebe72e461b596d17eeb5c16
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // A Dafny rendition of an F* version of QuickSort (included at the bottom of this file). // Unlike the F* version, Dafny also proves termination and does not use any axioms. However, // Dafny needs help with a couple of lem...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_git-issue133_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
978
bcfed88902ecc9bc1a270843fd5f8054174781e4381618bc40fe0aa495db1452
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" datatype State = State(m:map<int, bool>) lemma Test(s:State) requires 42 in s.m ensures s.(m := s.m[42 := s.m[42]]) == s { var s' := s.(m := s.m[42 := s.m[42]]); } datatype MyDt = MakeA(x: int, bool) | MakeB(s: multiset<int>, t: S...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_git-issue40_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
455
2a279b6ac6b97cf044432edf8758c8cd6acbda424fd210af0eab9a76924847d7
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" function SeqRepeat<T>(count:nat, elt:T) : seq<T> ensures |SeqRepeat<T>(count, elt)| == count ensures forall i :: 0 <= i < count ==> SeqRepeat<T>(count, elt)[i] == elt datatype Maybe<T> = Nothing | Just(v: T) type Num = x | 0 <= x < 1...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_git-issue41_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,382
1a078686bb1ec70a07fa3c6b4342432b914163c43b67ef8f71728f0351603b97
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" type uint32 = i:int | 0 <= i < 0x1_0000_0000 function last<T>(s:seq<T>):T requires |s| > 0; { s[|s|-1] } function all_but_last<T>(s:seq<T>):seq<T> requires |s| > 0; ensures |all_but_last(s)| == |s| - 1; { s[..|s|...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_git-issue67_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
479
45021dd1dd31a9140fbb09ef024dbcf95718412a41d227799b0d890189ee811b
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Node { } predicate Q(x: Node) predicate P(x: Node) method AuxMethod(y: Node) modifies y method MainMethod(y: Node) modifies y { AuxMethod(y); // remove this call and the assertion below goes through (as it should) f...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_git-issue74_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
253
00fec2bcf4cab57d582a14eb538e228f4fb7c850747696d8ca3f61344ef44892
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" function{:opaque} f(x:int):int { x } lemma L() ensures forall x:int :: f(x) == x { forall x:int ensures f(x) == x { reveal f(); } }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_git-issue76_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
495
19e0f989c3139f73bbf194cf935254d7c97ba0344569597c7169569333086b1f
// RUN: %dafny /compile:3 "%s" > "%t" // RUN: %diff "%s.expect" "%t" method Main() { M0(); M1(); EqualityOfStrings0(); EqualityOfStrings1(); } // The verification of the following methods requires knowledge // about the injectivity of sequence displays. method M0() { } method M1() { va...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Lucas-down_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
3,933
898d9f8ad14a547109c6245088fce13d3453914905b5aba3456c62cc3ace73bc
// RUN: %dafny /compile:0 /arith:1 "%s" > "%t" // RUN: %diff "%s.expect" "%t" // Proof of the Lucas theorem // Rustan Leino // 9 March 2018 // // Instead of the lemmas doing "up", like: // P(k) == P(2*k) // P(k) == P(2*k + 1) // (see Lucas-up.dfy), the lemmas in this version go "down", like: // P(k%2)...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_MonadicLaws_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
2,071
8a1c134f61216afe555d6e6615443d9b0a9b522f1fa2f6470737ee923ed41b93
// RUN: %dafny /compile:0 /rprint:"%t.rprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // Monadic Laws // Niki Vazou and Rustan Leino // 28 March 2016 datatype List<T> = Nil | Cons(head: T, tail: List) function append(xs: List, ys: List): List { match xs case Nil => ys case Cons(x, xs') => Cons(...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_dafny4_Regression19_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,028
146f851184bc1596e3f2fee3d830b61be3d453b930f49ba82dde809810cf0553
// RUN: %dafny "%s" > "%t" // RUN: %diff "%s.expect" "%t" predicate ContainsNothingBut5(s: set<int>) { forall q :: q in s ==> q == 5 } predicate YeahContains5(s: set<int>) { exists q :: q in s && q == 5 } predicate ViaSetComprehension(s: set<int>) { |set q | q in s && q == 5| != 0 } predicate...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_git-issues_git-issue-336_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
653
1fc2463cdd5caf26ee5a5ec1391fac6702e88186bc87b40891719e842cb7b731
// RUN: %dafny "%s" > "%t" // RUN: %diff "%s.expect" "%t" lemma TestMap(a: map<int, (int,int)>) { // The following assertion used to not prove automatically // the following map comprehension implicitly uses k as the key == (map k | k in a :: a[k].0); } lemma TestSet0(a: set<int>) { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_hofs_Compilation_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,038
a8196fa6078496ba2d936b0683f1976ebda2355d6ae72dc66214a330060c54ab
// RUN: %dafny /compile:3 "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Ref<A> { var val : A constructor (a : A) ensures val == a { val := a; } } method Main() { // simple print "1 = ", (x => x)(1), "\n"; print "3 = ", (x => y => x + y)(1)(2), "\n"; print "3 = ", ((x,y) => y...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_hofs_Requires_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,209
2aab07343eef491246b05e78b6646b3ca2b27c45da275c8ab8110ba1fbc2bf80
// RUN: %dafny /compile:3 /print:"%t.print" /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" method Main() { test0(10); test5(11); test6(12); test1(); test2(); } predicate valid(x:int) { x > 0 } function ref1(y:int) : int requires valid(y); { y - 1 } lemma assumption...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_hofs_WhileLoop_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
939
f026acc268b9f32b6a6d1dbfb7683256c1611ee0fdbf177191b66774e585cc6a
// RUN: %dafny /compile:3 /print:"%t.print" "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Ref<A(0)> { var val: A } method Nice(n: int) returns (k: int) { var f : int -> int := x => x; var i := new Ref<int>; i.val := 0; while i.val < n { i.val := i.val + 1; f := x => f(x) + 1; }...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_LanguageServerTest_DafnyFiles_symbolTable_15_array_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
159
e707e0bf881fc660cc9062308cf1dd54ea9b17a16128213bb1abc118c5d74429
method Main() { var i := 2; var s := [1, i, 3, 4, 5]; print |s|; //size } method foo (s: seq<int>) requires |s| > 1 { print s[1]; }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_triggers_auto-triggers-fix-an-issue-listed-in-the-ironclad-notebook_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
921
9bc2f6f3f8c4cd1c6a14edfbc40f097ec613660d3720e6bc5a0a4d868e340cce
// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" /printTooltips "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This example was listed in IronClad's notebook as one place were z3 picked // much too liberal triggers. THe Boogie code for this is shown below: // // forall k#2: Seq Box :: $Is(k#2, TSeq...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_triggers_function-applications-are-triggers_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
535
cf45b865632e1ffdd9dffe2e7021cf75c36b86ef11d358a95aa93eda0eaf0ef3
// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" /printTooltips "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This file checks that function applications yield trigger candidates method M(P: (int -> int) -> bool, g: int -> int) requires P.requires(g) requires P(g) { assume forall f: int -...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_triggers_large-quantifiers-dont-break-dafny_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,542
6aca585a80c68a17dc90fd8e2c307d220a75ea9c45bd4579fd5b9b6c5a2e072a
// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" /printTooltips "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This test ensures that the trigger collector (the routine that picks trigger // candidates) does not actually consider all subsets of terms; if it did, the // following would take horrib...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_triggers_loop-detection-looks-at-ranges-too_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
410
a77185ba858b2b8d40ae5b91fb485026782a5f0076e318aeb65a8b01b6ac0303
// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" /printTooltips "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This file checks that loops between the range and the term of a quantifier // are properly detected. predicate P(x: int) method M(x: int) { // This will be flagged as a loop even wi...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_tutorial_maximum_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,005
7267513283981c36407b1b4f623a63b0218e5b99a28f77f1685a562e74be3d90
// RUN: %dafny /compile:0 /print:"%t.print" /dprint:"%t.dprint" /printTooltips "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This file shows how to specify and implement a function to compute the // largest element of a list. The function is fully specified by two // preconditions, as proved by the MaximumIsUniqu...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_vacid0_Composite_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
5,369
8f4e84c53a1f6b837367d62f7a0c904c38a160a71045333f652c1f154db307f8
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Composite { var left: Composite? var right: Composite? var parent: Composite? var val: int var sum: int function Valid(S: set<Composite>): bool reads this, parent, left, right { this in S && (parent != n...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_VSComp2010_Problem1-SumMax_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,143
fcc936443cd791fb14fc778d7efc1b57a91a61e0078a9ec95652fb62d2b85ed7
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" // VSComp 2010, problem 1, compute the sum and max of the elements of an array and prove // that 'sum <= N * max'. // Rustan Leino, 18 August 2010. // // The problem statement gave the pseudo-code for the method, but did not ask to prove // t...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_VSI-Benchmarks_b1_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,271
2a8610a06a06262b09403690b317a41b7ee841c6586fb9b9e038c42a40e768ac
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" // Spec# and Boogie and Chalice: The program will be // the same, except that these languages do not check // for any kind of termination. Also, in Spec#, there // is an issue of potential overflows. // Benchmark1 method Add(x: int, y: ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_VSI-Benchmarks_b2_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,305
b69b179e9017424f92d39458e27a357b79885fdb5dfdca7b0e9c89876c2982f6
// RUN: %dafny /compile:0 "%s" > "%t" // RUN: %diff "%s.expect" "%t" class Benchmark2 { method BinarySearch(a: array<int>, key: int) returns (result: int) requires forall i, j :: 0 <= i < j < a.Length ==> a[i] <= a[j]; ensures -1 <= result < a.Length; ensures 0 <= result ==> a[result] == key; ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-language-server_tmp_tmpkir0kenl_Test_vstte2012_Two-Way-Sort_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,813
ec611466104a968c48848d36b4d5cd15e012fa690f4d46c3d4b5c8df47ab9dd3
// RUN: %dafny /compile:0 /dprint:"%t.dprint" "%s" > "%t" // RUN: %diff "%s.expect" "%t" // This method is a slight generalization of the // code provided in the problem statement since it // is generic in the type of the array elements. method swap<T>(a: array<T>, i: int, j: int) requires 0 <= i < j < a.Leng...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-learn_tmp_tmpn94ir40q_R01_assertions_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
848
c73f558a7a5d442b73af351e38c6f7bd91d059ad7d2b0322895dd1ffad6bd5c1
method Abs(x: int) returns (y: int) ensures 0 <= y ensures x < 0 ==> y == -x ensures x >= 0 ==> y == x { if x < 0 { return -x; } else { return x; } } method TestingAbs() { var w := Abs(4); var v := Abs(3); } method TestingAbs2() { var v := Abs(3); // property of v dep...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-learn_tmp_tmpn94ir40q_R01_functions_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
862
e264e4d258be395b3f17a23537495a88db3acea31ef692bbb962b6facd0ce7dd
function abs(x: int): int { if x < 0 then -x else x } method Testing_abs() { var v := abs(3); } // Exercise 4. Write a function max that returns the larger of two given integer parameters. Write a test method using an assert that checks that your function is correct. function max(a: int, b: int...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-mini-project_tmp_tmpjxr3wzqh_src_project2a_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
6,650
b368d95cee6410034ba53285edc2e77bb044a75cd828366c92f7a808e088fa54
/* =============================================== DCC831 Formal Methods 2023.2 Mini Project 2 - Part A Your name: Guilherme de Oliveira Silva =============================================== */ function rem<T(==)>(x: T, s: seq<T>): seq<T> ensures x !in rem(x, s) ensures forall i :: 0 <...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Practice_tmp_tmphnmt4ovh_BST_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
3,782
6d340765dea5e99e7d55f1910fd5329d58665f5ba3acfe6ee010969cc64beb25
datatype Tree = Empty | Node(int,Tree,Tree) method Main() { var tree := BuildBST([-2,8,3,9,2,-7,0]); PrintTreeNumbersInorder(tree); } method PrintTreeNumbersInorder(t: Tree) { match t { case Empty => case Node(n, l, r) => PrintTreeNumbersInorder(l); print n; print "\n"; PrintTreeNumb...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Practice_tmp_tmphnmt4ovh_Pattern Matching_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
5,449
20bb1edf25852072b91566dc5beaa8d72cc1ffc4a3ca741b2b915b672e147d45
method {:verify true} FindAllOccurrences(text: string, pattern: string) returns (offsets: set<nat>) ensures forall i :: i in offsets ==> i + |pattern| <= |text| ensures forall i :: 0 <= i <= |text| - |pattern| ==> (text[i..i+|pattern|] == pattern <==> i in offsets) { offsets := {}; var i:int := 0; //...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-programs_tmp_tmpcwodh6qh_src_expt_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
488
1ba3ab111fb62b7ccb7ca6ab5b46c3d189206c56cb3a9e3553b516abeed4867f
function Expt(b: int, n: nat): int requires n >= 0 { if n == 0 then 1 else b * Expt(b, n - 1) } method expt(b: int, n: nat) returns (res: int) ensures res == Expt(b, n) { var i := 1; res := 1; while i < n + 1 { res := res * b; i := i + 1; } } // source: https://www.dcc.fc.u...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-programs_tmp_tmpcwodh6qh_src_factorial_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
299
1da3b7084fd37d0a56f38dcc1eb80c9c65d3097c8cb4c5b18d51885c8050cf0a
function fact(n: nat): nat ensures fact(n) >= 1 { if n == 0 then 1 else n * fact(n - 1) } method factorial(n: nat) returns (res: nat) ensures res == fact(n) { var i := 1; res := 1; while i < n + 1 { res := i * res; i := i + 1; } }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-programs_tmp_tmpcwodh6qh_src_max_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
349
82c8df5f846eb97716acb700d154d38b524ecb72a42b40a4e3f4b675578dbf96
method Max(a: int, b: int) returns (c: int) ensures a >= b ==> c == a ensures b >= a ==> c == b { if a > b { return a; } else { return b; } } method MaxTest() { var low := 1; var high := 10; var v := Max(low, high); } function max(a: int, b: int): int { if a > b then a else b ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-programs_tmp_tmpcwodh6qh_src_ticketsystem_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
3,743
366cb020b746199a41bbec8311f2bb2514fdb7f59972309f716ed8ad5441ad76
// Code taken from the following paper: http://leino.science/papers/krml260.pdf // Each philosopher's pseudocode: // repeat forever { // Thinking: // t: Ticket = ticket, ticket + 1 // request ticket to enter hungry state // Hungry: // //... // wait until serving = t; // Enter // ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-programs_tmp_tmpnso9eu7u_Algorithms + sorting_bubble-sort_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
1,537
6a5d4ca92f4bd1c02f9c993d1f288b2e50a10d74ba47e46e21029eff77caa59b
/* Bubble Sort is the simplest sorting algorithm that works by repeatedly swapping the adjacent elements if they are in wrong order. */ predicate sorted_between(A:array<int>, from:int, to:int) reads A { forall i, j :: 0 <= i <= j < A.Length && from <= i <= j <= to ==> A[i] <= A[j] } predicate sort...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/Dafny-Projects_tmp_tmph399drhy_p2_arraySplit_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
799
478829ce0c813489b4305ee7d6aeb4f6756549eb18d5673b8e1010a930c0d87e
method ArraySplit (a : array<int>) returns (b : array<int>, c : array<int>) ensures fresh(b) ensures fresh(c) ensures a[..] == b[..] + c[..] ensures a.Length == b.Length + c.Length ensures a.Length > 1 ==> a.Length > b.Length ensures a.Length > 1 ==> a.Length > c.Length { var splitPoint : int := a...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-rope_tmp_tmpl4v_njmy_Rope_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
9,384
660e448f3ee91f9dd30e13b57ff86647e0557e01a21f716a23cae5f232746979
module Rope { class Rope { ghost var Contents: string; ghost var Repr: set<Rope>; var data: string; var weight: nat; var left: Rope?; var right: Rope?; ghost predicate Valid() reads this, Repr ensures Valid() ==> this in Repr { this in Repr && (left != null ==> left in Repr &...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-sandbox_tmp_tmp3tu2bu8a_Stlc_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
14,378
2e5569948033a121492369c3b84f6134625b40e6dce49f3c8cbbc4c3564fe9d7
// Proving type safety of a Simply Typed Lambda-Calculus in Dafny // adapted from Coq (http://www.cis.upenn.edu/~bcpierce/sf/Stlc.html) /// Utilities // ... handy for partial functions datatype option<A> = None | Some(get: A) /// ----- /// Model /// ----- /// Syntax // Types datatype ty = TBase ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_105_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
452
674df551be37bb90877cd1665a7cfc0795f5860b2bccc533fd773e7124dfa6c1
function countTo( a:array<bool>, n:int ) : int requires a != null; requires 0 <= n && n <= a.Length; reads a; { if (n == 0) then 0 else countTo(a, n-1) + (if a[n-1] then 1 else 0) } method CountTrue(a: array<bool>) returns (result: int) requires a != null ensures result == countTo(a, a.Length...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_106_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
340
6ea7aaa4871977ce0022422faaddb67eee22dbaf28621661ec634dda30c1d7f2
method AppendArrayToSeq(s: seq<int>, a: array<int>) returns (r: seq<int>) requires a != null ensures |r| == |s| + a.Length ensures forall i :: 0 <= i < |s| ==> r[i] == s[i] ensures forall i :: 0 <= i < a.Length ==> r[|s| + i] == a[i] { r := s; for i := 0 to a.Length { r := r...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_113_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
443
1cb9a7fa95db6751f23280c7644cbd32b619f6ba81da419a2509ecc044ab887c
predicate IsDigit(c: char) { 48 <= c as int <= 57 } method IsInteger(s: string) returns (result: bool) ensures result <==> (|s| > 0) && (forall i :: 0 <= i < |s| ==> IsDigit(s[i])) { result := true; if |s| == 0 { result := false; } else { for i := 0 to |s| { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_126_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
385
45560330fa6097bd8d37fa39f6808a4c8837c378a1abe271b71d34ba6b63fa8e
method SumOfCommonDivisors(a: int, b: int) returns (sum: int) requires a > 0 && b > 0 ensures sum >= 0 ensures forall d :: 1 <= d <= a && 1 <= d <= b && a % d == 0 && b % d == 0 ==> sum >= d { sum := 0; var i := 1; while i <= a && i <= b { if a % i == 0 && b % i == 0 { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_133_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
487
688a1d7b3a5fdea153268c74dcf12ea7a7cbb5108979e6f54b34441464888fbf
function sumNegativesTo( a:array<int>, n:int ) : int requires a != null; requires 0 <= n && n <= a.Length; reads a; { if (n == 0) then 0 else if a[n-1] < 0 then sumNegativesTo(a, n-1) + a[n-1] else sumNegativesTo(a, n-1) } method SumOfNegatives(a: array<int>) returns (result: int) ensures result =...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_145_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
435
7fff0f014bc00890979608b70779def68ccbbff063ca9adb7d8657d64f75d450
method MaxDifference(a: array<int>) returns (diff: int) requires a.Length > 1 ensures forall i, j :: 0 <= i < a.Length && 0 <= j < a.Length ==> a[i] - a[j] <= diff { var minVal := a[0]; var maxVal := a[0]; for i := 1 to a.Length { if a[i] < minVal { minVal := a[i];...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_161_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
651
bef166f3b6a8208ed2344836e2edef01430d0a8adfd176fc4fc2fa0b37a08202
predicate InArray(a: array<int>, x: int) reads a { exists i :: 0 <= i < a.Length && a[i] == x } method RemoveElements(a: array<int>, b: array<int>) returns (result: seq<int>) // All elements in the output are in a and not in b ensures forall x :: x in result ==> InArray(a, x) && !InArray(b, x) ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_170_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
567
866884c3084d5ce4df7e9dcb1dfef1ae5fce0fc7dd95ce76b4a5af573c1225d4
function sumTo( a:array<int>, start:int, end:int ) : int requires a != null; requires 0 <= start && start <= end && end <= a.Length; reads a; { if (start == end) then 0 else sumTo(a, start, end-1) + a[end-1] } method SumInRange(a: array<int>, start: int, end: int) returns (sum: ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_18_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
402
6664a8abfe346bcda4dec34d2e6b097cb4e9b6f34ceee077f4a792c78e8b43e3
method RemoveChars(s1: string, s2: string) returns (v: string) ensures |v| <= |s1| ensures forall i :: 0 <= i < |v| ==> (v[i] in s1) && !(v[i] in s2) ensures forall i :: 0 <= i < |s1| ==> (s1[i] in s2) || (s1[i] in v) { var v' : string := []; for i := 0 to |s1| { if !(s1[i] in s2...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_230_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
430
04f8280911e3c260e741687dc581b5ed03749b21940299e61d94b7cc5b4cf67a
method ReplaceBlanksWithChar(s: string, ch: char) returns (v: string) ensures |v| == |s| ensures forall i :: 0 <= i < |s| ==> (s[i] == ' ' ==> v[i] == ch) && (s[i] != ' ' ==> v[i] == s[i]) { var s' : string := []; for i := 0 to |s| { if s[i] == ' ' { s' := s' + [...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_249_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
647
986019b57dfefbdb3883c641d097d173d220d53ab7bffefbc91783539de24f8a
predicate InArray(a: array<int>, x: int) reads a { exists i :: 0 <= i < a.Length && a[i] == x } method Intersection(a: array<int>, b: array<int>) returns (result: seq<int>) // All elements in the output are in both a and b ensures forall x :: x in result ==> (InArray(a, x) && InArray(b, x)) ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_251_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
301
048237bebf72c298b6d53e917686b7a50080473827c29a9b98b0aae168fa4a14
method InsertBeforeEach(s: seq<string>, x: string) returns (v: seq<string>) ensures |v| == 2 * |s| ensures forall i :: 0 <= i < |s| ==> v[2*i] == x && v[2*i + 1] == s[i] { v := []; for i := 0 to |s| { v := v + [x, s[i]]; } }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_261_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
397
2c66efeed3b0fd1ac1258e6c46c8bb37bc63444a6132e18a899ea0fa68f9f164
method ElementWiseDivision(a: seq<int>, b: seq<int>) returns (result: seq<int>) requires |a| == |b| requires forall i :: 0 <= i < |b| ==> b[i] != 0 ensures |result| == |a| ensures forall i :: 0 <= i < |result| ==> result[i] == a[i] / b[i] { result := []; var i := 0; while i < |a| ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_267_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
262
32af6f21350dd8e5ed9a2a9d953d19729014e83a60ddd90ecee1e50329cf1a85
method SumOfSquaresOfFirstNOddNumbers(n: int) returns (sum: int) requires n >= 0 ensures sum == (n * (2 * n - 1) * (2 * n + 1)) / 3 { sum := 0; var i := 1; for k:=0 to n { sum := sum + i * i; i := i + 2; } }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_273_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
342
f8581fffc3448930ca6d78b6c6a8c02e383a51d3c13589381419319192ab0378
method SubtractSequences(a: seq<int>, b: seq<int>) returns (result: seq<int>) requires |a| == |b| ensures |result| == |a| ensures forall i :: 0 <= i < |result| ==> result[i] == a[i] - b[i] { result := []; var i := 0; while i < |a| { result := result + [a[i] - b[i]]; ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_282_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
455
6e96847286ec0161c8b6791ada022dc1456c25a4dc7810f910fac978b2a3e2f9
method ElementWiseSubtraction(a: array<int>, b: array<int>) returns (result: array<int>) requires a != null && b != null requires a.Length == b.Length ensures result != null ensures result.Length == a.Length ensures forall i :: 0 <= i < result.Length ==> result[i] == a[i] - b[i] { result ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_284_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
383
e0fd5b52f9b361101a05229f6d35050923d221146ca09e63fe32f553f8afec61
method AllElementsEqual(a: array<int>, n: int) returns (result: bool) requires a != null ensures result ==> forall i :: 0 <= i < a.Length ==> a[i] == n ensures !result ==> exists i :: 0 <= i < a.Length && a[i] != n { result := true; for i := 0 to a.Length { if a[i] != n { ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_290_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
340
dfb202bbefa5f39c385016fc37c953fb857b8c0a34ea45e3f4a66650e7dc3d9e
method MaxLengthList(lists: seq<seq<int>>) returns (maxList: seq<int>) requires |lists| > 0 ensures forall l :: l in lists ==> |l| <= |maxList| ensures maxList in lists { maxList := lists[0]; for i := 1 to |lists| { if |lists[i]| > |maxList| { maxList := lists[i]; ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_2_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
647
2a5f3abcba5df3b51ccebf34820943e24c12364bea982d118eb8aa0fd4e58baa
predicate InArray(a: array<int>, x: int) reads a { exists i :: 0 <= i < a.Length && a[i] == x } method SharedElements(a: array<int>, b: array<int>) returns (result: seq<int>) // All elements in the output are in both a and b ensures forall x :: x in result ==> (InArray(a, x) && InArray(b, x)) ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_307_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
273
a71c9d4ff48647f9762e67490a11b59ff5043ca1707ea68e3881e07cefb18c76
method DeepCopySeq(s: seq<int>) returns (copy: seq<int>) ensures |copy| == |s| ensures forall i :: 0 <= i < |s| ==> copy[i] == s[i] { var newSeq: seq<int> := []; for i := 0 to |s| { newSeq := newSeq + [s[i]]; } return newSeq; }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_310_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
229
efb2da7ce545fb3be6bbdf5105882c4814048f50400f95d8dee3f0691adb49b1
method ToCharArray(s: string) returns (a: array<char>) ensures a.Length == |s| ensures forall i :: 0 <= i < |s| ==> a[i] == s[i] { a := new char[|s|]; for i := 0 to |s| { a[i] := s[i]; } }
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_399_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
338
2e68cffc9d1902a084bd63cc8d56fcaf44255025826c409765e99b96e5b333ac
method BitwiseXOR(a: seq<bv32>, b: seq<bv32>) returns (result: seq<bv32>) requires |a| == |b| ensures |result| == |a| ensures forall i :: 0 <= i < |result| ==> result[i] == a[i] ^ b[i] { result := []; var i := 0; while i < |a| { result := result + [a[i] ^ b[i]]; i :...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_3_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
327
1f32aacb2a07d12c9f69d59eca1c4b2ec806cdfb834894e9db5b280009168d18
method IsNonPrime(n: int) returns (result: bool) requires n >= 2 ensures result <==> (exists k :: 2 <= k < n && n % k == 0) { result := false; var i := 2; while i <= n/2 { if n % i == 0 { result := true; break; } i := i + 1; ...
sun-wendy/DafnyBench
DafnyBench/dataset/hints_removed/dafny-synthesis_task_id_401_no_hints.dfy
Apache-2.0
67
main
0cd28feed9cd0179b07fdb9d002f8c39063658e4
2024-12-12T07:08:20Z
670
c7f2f67215b7a254e1febee360e7b88783f4a472417ac5e60ff1282a0d64a1bb
method IndexWiseAddition(a: seq<seq<int>>, b: seq<seq<int>>) returns (result: seq<seq<int>>) requires |a| > 0 && |b| > 0 requires |a| == |b| requires forall i :: 0 <= i < |a| ==> |a[i]| == |b[i]| ensures |result| == |a| ensures forall i :: 0 <= i < |result| ==> |result[i]| == |a[i]| ensure...