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-rw-r--r--Test/civl/Program4.bpl139
1 files changed, 139 insertions, 0 deletions
diff --git a/Test/civl/Program4.bpl b/Test/civl/Program4.bpl
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+// RUN: %boogie -noinfer -typeEncoding:m -useArrayTheory "%s" > "%t"
+// RUN: %diff "%s.expect" "%t"
+var {:layer 0,2} a:[int]int;
+var {:layer 0,1} count: int;
+var {:layer 1,1} {:linear "tid"} allocated:[int]bool;
+
+procedure {:yields} {:layer 2} main()
+requires {:layer 1} allocated == MapConstBool(false);
+{
+ var {:layer 1} {:linear "tid"} tid:int;
+ var i: int;
+
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ while (true)
+ invariant {:layer 1} AllocInv(count, allocated);
+ {
+ call tid, i := Allocate();
+ async call P(tid, i);
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ }
+ yield;
+}
+
+procedure {:yields} {:layer 2} P({:layer 1} {:linear "tid"} tid: int, i: int)
+requires {:layer 1} tid == i;
+requires {:layer 1} AllocInv(count, allocated);
+ensures {:layer 1} AllocInv(count, allocated);
+ensures {:layer 2} a[tid] == old(a)[tid] + 1;
+{
+ var t:int;
+
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ assert {:layer 2} a[tid] == old(a)[tid];
+ call t := Read(tid, i);
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ assert {:layer 2} a[tid] == t;
+ call Write(tid, i, t + 1);
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ assert {:layer 2} a[tid] == t + 1;
+}
+
+procedure {:yields} {:layer 1,2} Allocate() returns ({:layer 1} {:linear "tid"} tid: int, i: int)
+requires {:layer 1} AllocInv(count, allocated);
+ensures {:layer 1} AllocInv(count, allocated);
+ensures {:layer 1} tid == i;
+ensures {:atomic}
+|{A:
+ return true;
+}|;
+{
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ call i := AllocateLow();
+ call tid := MakeLinear(i);
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+}
+
+procedure {:yields} {:layer 1,2} Read({:layer 1} {:linear "tid"} tid: int, i: int) returns (val: int)
+requires {:layer 1} tid == i;
+requires {:layer 1} AllocInv(count, allocated);
+ensures {:layer 1} AllocInv(count, allocated);
+ensures {:atomic}
+|{A:
+ val := a[tid]; return true;
+}|;
+{
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ call val := ReadLow(i);
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+}
+
+procedure {:yields} {:layer 1,2} Write({:layer 1} {:linear "tid"} tid: int, i: int, val: int)
+requires {:layer 1} tid == i;
+requires {:layer 1} AllocInv(count, allocated);
+ensures {:layer 1} AllocInv(count, allocated);
+ensures {:atomic}
+|{A:
+ a[tid] := val; return true;
+}|;
+{
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+ call WriteLow(i, val);
+ yield;
+ assert {:layer 1} AllocInv(count, allocated);
+}
+
+function {:inline} AllocInv(count: int, allocated:[int]bool): (bool)
+{
+ (forall x: int :: allocated[x] ==> x < count)
+}
+
+procedure {:yields} {:layer 0,1} ReadLow(i: int) returns (val: int);
+ensures {:atomic}
+|{A:
+ val := a[i]; return true;
+}|;
+
+procedure {:yields} {:layer 0,1} WriteLow(i: int, val: int);
+ensures {:atomic}
+|{A:
+ a[i] := val; return true;
+}|;
+
+procedure {:yields} {:layer 0,1} AllocateLow() returns (i: int);
+ensures {:atomic}
+|{A:
+ i := count;
+ count := i + 1;
+ return true;
+}|;
+
+// We can prove that this primitive procedure preserves the permission invariant locally.
+// We only need to using its specification and the definitions of TidCollector and TidSetCollector.
+procedure {:layer 1} MakeLinear(i: int) returns ({:linear "tid"} tid: int);
+requires !allocated[i];
+modifies allocated;
+ensures tid == i && allocated == old(allocated)[i := true];
+
+function {:builtin "MapConst"} MapConstBool(bool): [int]bool;
+function {:builtin "MapOr"} MapOr([int]bool, [int]bool) : [int]bool;
+
+function {:inline} {:linear "tid"} TidCollector(x: int) : [int]bool
+{
+ MapConstBool(false)[x := true]
+}
+function {:inline} {:linear "tid"} TidSetCollector(x: [int]bool) : [int]bool
+{
+ x
+}
+