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Merge pull request #5403 from azcwagner/assigns-clause-scalars
Added scalar assigns clause to code contracts
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## CBMC Assigns Clause | ||
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### Introduction | ||
The _assigns_ clause allows the user to specify a list of memory | ||
locations which may be written within a particular scope. While an assigns | ||
clause may, in general, be interpreted with either _writes_ or _modifies_ | ||
semantics, this design is based on the former. This means that memory not | ||
captured by the assigns clause must not be written within the given scope, even | ||
if the value(s) therein are not modified. | ||
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### Scalar Variables | ||
The initial iteration of this design focuses on specifying an assigns clause for | ||
primitive types and their pointers. Arrays, structured data, and pointers are | ||
left to future contributions. | ||
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##### Syntax | ||
A special construct is introduced to specify assigns clauses. Its syntax is | ||
defined as follows. | ||
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``` | ||
<assigns_clause> := __CPROVER_assigns ( <target_list> ) | ||
``` | ||
``` | ||
<target_list> := <target> | ||
| <target> , <target_list> | ||
``` | ||
``` | ||
<target> := <identifier> | ||
| * <target> | ||
``` | ||
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The `<assigns_clause>` states that only the memory identified by the dereference | ||
expressions and identifiers listed in the contained `<target_list>` may be | ||
written within the associated scope, as follows. | ||
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##### Semantics | ||
The semantics of an assigns clause *c* of some function *f* can be understood in | ||
two contexts. First, one may consider how the expressions in *c* are treated | ||
when a call to *f* is replaced by its contract specification, assuming the | ||
contract specification is a sound characterization of the behavior of *f*. | ||
Second, one may consider how *c* is applied to the function body of *f* in order | ||
to determine whether *c* is a sound characterization of the behavior of *f*. We | ||
begin by exploring these two perspectives for assigns clauses which contain only | ||
scalar expressions. | ||
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Let the i<sup>th</sup> expression in some assigns clause *c* be denoted | ||
*exprs*<sub>*c*</sub>[i], the j<sup>th</sup> formal parameter of some function | ||
*f* be denoted *params*<sub>*f*</sub>[j], and the k<sup>th</sup> argument passed | ||
in a call to function *f* be denoted *args*<sub>*f*</sub>[k] (an identifying | ||
index may be added to distinguish a *particular* call to *f*, but for simplicity | ||
it is omitted here). | ||
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###### Replacement | ||
Assuming an assigns clause *c* is a sound characterization of the behavior of | ||
the function *f*, a call to *f* may be replaced a series of non-deterministic | ||
assignments. For each expression *e* ∈ *exprs*<sub>*c*</sub>, let there be | ||
an assignment ɸ := ∗, where ɸ is *args*<sub>*f*</sub>[i] if *e* | ||
is identical to some *params*<sub>*f*</sub>[i], and *e* otherwise. | ||
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###### Enforcement | ||
In order to determine whether an assigns clause *c* is a sound characterization | ||
of the behavior of a function *f*, the body of the function should be | ||
instrumented with additional statements as follows. | ||
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- For each expression *e* ∈ *exprs*<sub>*c*</sub>, create a temporary | ||
variable *tmp*<sub>*e*</sub> to store \&(*e*), the address of *e*, at the | ||
start of *f*. | ||
- Before each assignment statement, *lhs* := *rhs*, add an assertion (structured | ||
as a disjunction) | ||
assert(∃ *tmp*<sub>*e*</sub>. \_\_CPROVER\_same\_object(\&(*lhs*), | ||
*tmp*<sub>*e*</sub>) | ||
- Before each function call with an assigns clause *a*, add an assertion for | ||
each *e*<sub>*a*</sub> ∈ *exprs*<sub>*a*</sub> (also formulated as a | ||
disjunction) | ||
assert(∃ *tmp*<sub>*e*</sub>. | ||
\_\_CPROVER\_same\_object(\&(*e*<sub>*a*</sub>), *tmp*<sub>*e*</sub>) | ||
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Here, \_\_CPROVER\_same\_object returns true if two pointers | ||
reference the same object in the CBMC memory model. Additionally, for each | ||
function call without an assigns clause, CBMC adds an assertion assert(*false*) | ||
to ensure that the assigns contract will only hold if all called functions | ||
have an assigns clause which is compatible with that of the calling function. |
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int foo(int *x) __CPROVER_assigns(*x) | ||
__CPROVER_ensures(__CPROVER_return_value == *x + 5) | ||
{ | ||
*x = *x + 0; | ||
return *x + 5; | ||
} | ||
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int main() | ||
{ | ||
int n = 4; | ||
n = foo(&n); | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=0$ | ||
^SIGNAL=0$ | ||
^VERIFICATION SUCCESSFUL$ | ||
-- | ||
-- | ||
This test checks that verification succeeds if only expressions inside the assigns clause are assigned within the function. | ||
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Note: For all 'enforce' tests, nothing can be assumed about the return value of the function (as the function call is not replaced at this point). | ||
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To make such assumptions would cause verification to fail. |
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int z; | ||
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int foo(int *x) __CPROVER_assigns(z) | ||
__CPROVER_ensures(__CPROVER_return_value == *x + 5) | ||
{ | ||
*x = *x + 0; | ||
return *x + 5; | ||
} | ||
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int main() | ||
{ | ||
int n = 4; | ||
n = foo(&n); | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=10$ | ||
^SIGNAL=0$ | ||
^VERIFICATION FAILED$ | ||
-- | ||
-- | ||
This test checks that verification fails if an expression outside the assigns clause is assigned within the function. |
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void f1(int *x1, int *y1, int *z1) __CPROVER_assigns(*x1, *y1, *z1) | ||
{ | ||
f2(x1, y1, z1); | ||
} | ||
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void f2(int *x2, int *y2, int *z2) __CPROVER_assigns(*x2, *y2, *z2) | ||
{ | ||
f3(x2, y2, z2); | ||
} | ||
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void f3(int *x3, int *y3, int *z3) __CPROVER_assigns(*x3, *y3, *z3) | ||
{ | ||
*x3 = *x3 + 1; | ||
*y3 = *y3 + 1; | ||
*z3 = *z3 + 1; | ||
} | ||
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int main() | ||
{ | ||
int p = 1; | ||
int q = 2; | ||
int r = 3; | ||
f1(&p, &q, &r); | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=0$ | ||
^SIGNAL=0$ | ||
^VERIFICATION SUCCESSFUL$ | ||
-- | ||
-- | ||
This test checks that verification succeeds when assigns clauses are respected through multiple function calls. |
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void f1(int *x1, int *y1, int *z1) __CPROVER_assigns(*x1, *y1, *z1) | ||
{ | ||
f2(x1, y1, z1); | ||
} | ||
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void f2(int *x2, int *y2, int *z2) __CPROVER_assigns(*x2, *y2, *z2) | ||
{ | ||
f3(x2, y2, z2); | ||
} | ||
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void f3(int *x3, int *y3, int *z3) __CPROVER_assigns(*y3, *z3) | ||
{ | ||
*x3 = *x3 + 1; | ||
*y3 = *y3 + 1; | ||
*z3 = *z3 + 1; | ||
} | ||
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int main() | ||
{ | ||
int p = 1; | ||
int q = 2; | ||
int r = 3; | ||
f1(&p, &q, &r); | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=10$ | ||
^SIGNAL=0$ | ||
^VERIFICATION FAILED$ | ||
-- | ||
-- | ||
This test checks that verification fails when an assigns clause is not respected through multiple function calls. |
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void f1(int *x1, int *y1, int *z1) __CPROVER_assigns(*x1, *y1, *z1) | ||
{ | ||
f2(x1, y1, z1); | ||
} | ||
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void f2(int *x2, int *y2, int *z2) __CPROVER_assigns(*x2, *y2, *z2) | ||
{ | ||
f3(x2, y2, z2); | ||
} | ||
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void f3(int *x3, int *y3, int *z3) | ||
{ | ||
} | ||
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int main() | ||
{ | ||
int p = 1; | ||
int q = 2; | ||
int r = 3; | ||
f1(&p, &q, &r); | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=10$ | ||
^SIGNAL=0$ | ||
^VERIFICATION FAILED$ | ||
-- | ||
-- | ||
This test checks that verification fails when a function with an assigns clause calls a function without an assigns clause. |
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void f1(int *x1, int *y1, int *z1) __CPROVER_assigns(*x1, *y1, *z1) | ||
{ | ||
f2(x1, y1, z1); | ||
} | ||
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void f2(int *x2, int *y2, int *z2) __CPROVER_assigns(*x2, *y2, *z2) | ||
{ | ||
f3(x2, y2, z2); | ||
} | ||
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void f3(int *x3, int *y3, int *z3) __CPROVER_assigns(*x3, *y3, *z3) | ||
{ | ||
*x3 = *x3 + 1; | ||
*y3 = *y3 + 1; | ||
*z3 = *z3 + 1; | ||
} | ||
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int main() | ||
{ | ||
int p = 1; | ||
int q = 2; | ||
int r = 3; | ||
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for(int i = 0; i < 3; ++i) | ||
{ | ||
if(i == 0) | ||
{ | ||
f1(&p, &q, &r); | ||
} | ||
if(i == 1) | ||
{ | ||
f2(&p, &q, &r); | ||
} | ||
if(i == 2) | ||
{ | ||
f3(&p, &q, &r); | ||
} | ||
} | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=0$ | ||
^SIGNAL=0$ | ||
^VERIFICATION SUCCESSFUL$ | ||
-- | ||
-- | ||
This test checks that verification succeeds when functions with assigns clauses are called from within a loop. |
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void f1(int *x1, int *y1, int *z1) __CPROVER_assigns(*x1, *y1, *z1) | ||
{ | ||
f2(x1, y1, z1); | ||
} | ||
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void f2(int *x2, int *y2, int *z2) __CPROVER_assigns(*x2, *y2, *z2) | ||
{ | ||
f3(x2, y2, z2); | ||
} | ||
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void f3(int *x3, int *y3, int *z3) __CPROVER_assigns(*y3, *z3) | ||
{ | ||
*x3 = *x3 + 1; | ||
*y3 = *y3 + 1; | ||
*z3 = *z3 + 1; | ||
} | ||
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int main() | ||
{ | ||
int p = 1; | ||
int q = 2; | ||
int r = 3; | ||
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for(int i = 0; i < 3; ++i) | ||
{ | ||
if(i == 0) | ||
{ | ||
f1(&p, &q, &r); | ||
} | ||
if(i == 1) | ||
{ | ||
f2(&p, &q, &r); | ||
} | ||
if(i == 2) | ||
{ | ||
f3(&p, &q, &r); | ||
} | ||
} | ||
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return 0; | ||
} |
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@@ -0,0 +1,9 @@ | ||
CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=10$ | ||
^SIGNAL=0$ | ||
^VERIFICATION FAILED$ | ||
-- | ||
-- | ||
This test checks that verification fails when functions with assigns clauses are called within a loop and one of them does not obey its assigns clause. |
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void f1(int *x) __CPROVER_assigns(*x) | ||
{ | ||
int *a = x; | ||
f2(&a); | ||
} | ||
void f2(int **y) __CPROVER_assigns(**y) | ||
{ | ||
**y = 5; | ||
} | ||
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int main() | ||
{ | ||
int n = 3; | ||
f1(&n); | ||
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return 0; | ||
} |
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CORE | ||
main.c | ||
--enforce-all-contracts | ||
^EXIT=0$ | ||
^SIGNAL=0$ | ||
^VERIFICATION SUCCESSFUL$ | ||
-- | ||
-- | ||
This test checks that verification succeeds when a function with an assigns | ||
clause calls another with an additional level of indirection, and that | ||
functions respects the assigns clause of the caller. |
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