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z7C)HVDUEblZf)hjN{FBfU)H)SMO^WM=3I=gTO-^+_yPF$YVt3+=>Hx4=ASd`|0DPY z#AN~rZvPE@^T)vdWwN{285+US6M?u{AehzvI*3?VSU{52MnwOyF@PfeeGpmwVFNL> zSeRKsAECe4erFj#u&2M;7?>I9S$}J1|33b6E)$TA9Yo~$i|uz7q<;Mm8xuV<3#b8q zEyuvX#td4`{%ZRj3kc!$HybDrHXti#4*%_3kT?2&mIJb}GX2{hJL^B|1%=EGTJQeq z@3&qz%Rk#o&&u%6wt>q1%O4{%JJaux_^Urw&~gv_d(6MtWz5X~=oe7AKh~$ep3BC> z2qF>v-5-!12>dM$|Ce&V{jswDs~kH6+dpCf0zq7(zmL)HbJ_pl4^#t?75MkQVqjtf z(*L6m7?@b;*_r>)GG>ijkfXL^AuQjSaNC|J?=x!m0Ty@Rfu!yl6s +struct Node { + int val; + struct Node *next; +}; +typedef struct Node Node; + +void push (Node *head, int val) +//@ requires ? && head != NULL; +{ + Node *y = head; + while (y->next != NULL) + { + y = y->next; + } + y->next = alloc(struct Node); + y->next->val = val; + y->next->next = NULL; +} + +void pop (Node *head) + //@ requires ? && head != NULL; +{ + Node *y = head; + y = y -> next; + + if (y == NULL) { + printint(head->val); + head = NULL; + } else { + while (y -> next -> next != NULL) + { + y = y->next; + } + printint(y->next->val); + y -> next = NULL; + } +} + +int main () +{ + Node* head = alloc(struct Node); + head->val = 5; + head->next = NULL; + push(head, 10); + push(head, 34); + push(head, 32); + pop(head); + push(head, 12); + pop(head); + return 0; +} \ No newline at end of file From d32e0ee7b0feeb7f41cfbae85cdc7b0c80880d43 Mon Sep 17 00:00:00 2001 From: KUNAL SINGH Date: Mon, 22 May 2023 19:36:05 -0400 Subject: [PATCH 2/2] incomplete specification removed --- .../resources/stack-verification/stack.c0 | 254 +++++++++++++++--- 1 file changed, 219 insertions(+), 35 deletions(-) diff --git a/src/test/resources/stack-verification/stack.c0 b/src/test/resources/stack-verification/stack.c0 index 6690b608..a8d04dd9 100644 --- a/src/test/resources/stack-verification/stack.c0 +++ b/src/test/resources/stack-verification/stack.c0 @@ -1,52 +1,236 @@ #use +// List node struct Node { - int val; - struct Node *next; + int val; + struct Node *next; }; -typedef struct Node Node; -void push (Node *head, int val) -//@ requires ? && head != NULL; +/*@ +predicate segHelper(struct Node *start, struct Node *end) = + (start == end) ? + (true) + : + ( + acc(start->val) && acc(start->next) && + segHelper(start->next, end) + ) ; +@*/ + +/*@ + +predicate seg(struct Node *start) = + segHelper(start, NULL); +@*/ + + +//-------------------------------------------------------------------lemmas +// Lemma: +void appendLemmaLoopBody(struct Node *a, struct Node *b, struct Node *c) + /*@ + requires segHelper(a, b) && + ( (c == NULL) ? + ( true ) + : + ( acc(c->val) && acc(c->next) && + segHelper(c->next, NULL) + ) + ) && + ( (b == c) ? + ( true ) + : + ( + acc(b->val) && acc(b->next) && + segHelper(b->next, c) + ) + ) ; + @*/ + /*@ + ensures segHelper(a, c) && + ( (c == NULL) ? + ( true ) + : + ( acc(c->val) && acc(c->next) && + segHelper(c->next, NULL) + ) + ) ; + @*/ +{ + if (b == c) { + } else if (a == b) { + //@ unfold segHelper(a, b); + //@ fold segHelper(a, c); + } else { + //@ unfold segHelper(a, b); + appendLemmaLoopBody(a->next, b, c); + //@ fold segHelper(a, c); + } +} + +void appendLemmaAfterLoopBody(struct Node *a, struct Node *b, struct Node *c) + /*@ + requires segHelper(a, b) && + ( (c == NULL) ? true : acc(c->val) && acc(c->next) ) && + ( (b == c) ? + ( true ) + : + ( + acc(b->val) && acc(b->next) && + segHelper(b->next, c) + ) + ) ; + @*/ + /*@ + ensures segHelper(a, c) && + ( (c == NULL) ? true : acc(c->val) && acc(c->next) ) ; + @*/ +{ + if (b == c) { + } else if (a == b) { + //@ unfold segHelper(a, b); + //@ fold segHelper(a, c); + } else { + //@ unfold segHelper(a, b); + appendLemmaAfterLoopBody(a->next, b, c); + //@ fold segHelper(a, c); + } +} + + +struct Node *push(struct Node *head, int val) + //@ requires seg(head); + //@ ensures seg(\result); { - Node *y = head; - while (y->next != NULL) + //@ unfold seg(head); + //@ unfold segHelper(head, NULL); + + if (head == NULL) { + struct Node *n = alloc(struct Node); + n->val = val; + n->next = head; + //@ fold segHelper(n->next, NULL); + //@ fold segHelper(n, NULL); + //@ fold seg(n); + return n; + } else { + struct Node *curr = head; + //@ unfold segHelper(curr->next, NULL); + + //@ fold segHelper(head, curr); + while (curr->next != NULL) + //@ loop_invariant acc(curr->val) && acc(curr->next); + //@ loop_invariant segHelper(head, curr); + //@ loop_invariant (curr->next == NULL) ? (true) : acc(curr->next->next) && acc(curr->next->val) && segHelper(curr->next->next, NULL); { - y = y->next; + + struct Node *prev = curr; + curr = prev->next; + + //@ unfold segHelper(head, prev); + //@ fold segHelper(prev->next, curr); + + if (head == prev) { + } else { + appendLemmaLoopBody(head->next, prev, curr); + } + + //@ fold segHelper(head, curr); + //@ unfold segHelper(curr->next, NULL); + + } + + struct Node *tmp = alloc(struct Node); + tmp->val = val; + tmp->next = curr->next; + curr->next = tmp; + + //@ fold segHelper(tmp->next, NULL); + //@ fold segHelper(curr->next, NULL); + + //@ unfold segHelper(head, curr); + if (head == curr) { + } else { + appendLemmaAfterLoopBody(head->next, curr, NULL); } - y->next = alloc(struct Node); - y->next->val = val; - y->next->next = NULL; + + //@ fold segHelper(head, NULL); + //@ fold seg(head); + return head; + } } -void pop (Node *head) - //@ requires ? && head != NULL; +int pop(struct Node *head) + //@ requires seg(head); { - Node *y = head; - y = y -> next; - if (y == NULL) { - printint(head->val); - head = NULL; - } else { - while (y -> next -> next != NULL) - { - y = y->next; - } - printint(y->next->val); - y -> next = NULL; + //@ unfold seg(head); + //@ unfold segHelper(head, NULL); + + if (head == NULL) { + //@ fold segHelper(head, NULL); + //@ fold seg(head); + return -1; + } else { + + struct Node *curr = head; + //@ unfold segHelper(curr->next, NULL); + + //@ fold segHelper(head, curr); + while (curr->next != NULL && curr->next->next != NULL) + //@ loop_invariant acc(curr->val) && acc(curr->next); + //@ loop_invariant segHelper(head, curr); + //@ loop_invariant (curr->next == NULL) ? (true) : acc(curr->next->next) && acc(curr->next->val) && segHelper(curr->next->next, NULL); + { + + struct Node *prev = curr; + + curr = prev->next; + + //@ unfold segHelper(head, prev); + //@ fold segHelper(prev->next, curr); + + if (head == prev) { + } else { + appendLemmaLoopBody(head->next, prev, curr); + } + + + + //@ fold segHelper(head, curr); + //@ unfold segHelper(curr->next, NULL); + + + } + + curr->next = NULL; + + return 1; } } + + +struct Node *create_list(int val) + //@ requires true; + //@ ensures seg(\result); +{ + struct Node *n = alloc(struct Node); + n->val = val; + n->next = NULL; + //@ fold segHelper(n->next, NULL); + //@ fold segHelper(n, NULL); + //@ fold seg(n); + return n; +} + + + int main () + //@ requires true; + //@ ensures true; { - Node* head = alloc(struct Node); - head->val = 5; - head->next = NULL; - push(head, 10); - push(head, 34); - push(head, 32); - pop(head); - push(head, 12); - pop(head); - return 0; + struct Node *l = create_list(5); + struct Node *l2 = push(l, 1); + //@ assert seg(l2); + pop(l2); + return 1; } \ No newline at end of file

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