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|
module A {
class C {
var x: int;
predicate Valid()
reads this;
{
0 <= x
}
function Get(): int
reads this;
{
x
}
constructor ()
modifies this;
ensures Valid();
{
x := 8;
}
method M()
requires Valid();
{
assert Get() == x;
assert x == 8; // error
}
}
}
module A' refines A {
class C {
predicate Valid...
{
x == 8
}
method N()
requires Valid();
{
assert Get() == x;
assert x == 8;
}
}
}
module B {
import X as A
method Main() {
var c := new X.C();
c.M(); // fine
c.x := c.x + 1;
c.M(); // error, because Valid() is opaque
}
method L(c: X.C)
requires c != null;
modifies c;
{
assert c.Get() == c.x; // error because Get() s opaque
if * {
assert c.Valid(); // error, because Valid() is opaque
} else if * {
c.x := 7;
assert c.Valid(); // error, because Valid() is opaque
} else {
c.x := 8;
assert c.Valid(); // error, because Valid() is opaque
}
}
}
module B_direct {
import X as A'
method Main() {
var c := new X.C();
c.M(); // fine
c.x := c.x + 1;
if * {
assert c.Valid(); // error, because Valid() is opaque
} else {
c.M(); // error, because Valid() is opaque
}
}
method L(c: X.C)
requires c != null;
modifies c;
{
assert c.Get() == c.x; // error because Get() s opaque
if * {
assert c.Valid(); // error, because Valid() is opaque
} else if * {
c.x := 7;
assert c.Valid(); // error, because Valid() is opaque
} else {
c.x := 8;
assert c.Valid(); // error, because Valid() is opaque
}
}
}
module B' refines B {
import X = A' // this by itself produces no more error
method Main'() {
var c := new X.C();
c.M(); // fine
c.x := c.x + 1;
if * {
assert c.Valid(); // error, because Valid() is opaque
} else {
c.M(); // error, because Valid() is opaque
}
}
method L'(c: X.C)
requires c != null;
modifies c;
{
assert c.Get() == c.x; // error because Get() s opaque
if * {
assert c.Valid(); // error, because Valid() is opaque
} else if * {
c.x := 7;
assert c.Valid(); // error, because Valid() is opaque
} else {
c.x := 8;
assert c.Valid(); // error, because Valid() is opaque
}
}
}
// ---------------------------------
module OpaqueFunctionsAreNotInlined {
predicate {:opaque} F(n: int)
{
0 <= n < 100
}
method M()
{
var x := 18;
assert F(x); // error: cannot be determined, since F is opaque
}
method M'()
{
var x := 18;
reveal_F();
assert F(x);
}
}
// --------------------------------- opaque and refinement
module M0 {
function {:opaque} F(): int
{ 12 }
}
module M1 refines M0 {
}
|