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10 changes: 5 additions & 5 deletions Source/Core/base.bpl
Original file line number Diff line number Diff line change
Expand Up @@ -329,19 +329,19 @@ pure procedure Map_Put<K,V>({:linear} path: Map K V, {:linear_in} l: One K, {:li
pure procedure Map_GetValue<K,V>({:linear} path: Map K V, k: K) returns ({:linear} v: V);
pure procedure Map_PutValue<K,V>({:linear} path: Map K V, k: K, {:linear_in} v: V);

type Loc;
type Loc _;

pure procedure {:inline 1} Loc_New() returns ({:linear} {:pool "Loc_New"} l: One Loc)
pure procedure {:inline 1} Loc_New<V>() returns ({:linear} {:pool "Loc_New"} l: One (Loc V))
{
assume {:add_to_pool "Loc_New", l} true;
}

datatype TaggedLoc<K> { TaggedLoc(loc: Loc, tag: K) }
datatype TaggedLoc<V,T> { TaggedLoc(loc: Loc V, tag: T) }

pure procedure {:inline 1} TaggedLocSet_New<K>(ks: Set K) returns ({:linear} {:pool "Loc_New"} l: One Loc, {:linear} tagged_locs: Set (TaggedLoc K))
pure procedure {:inline 1} TaggedLocSet_New<V,T>(tags: Set T) returns ({:linear} {:pool "Loc_New"} l: One (Loc V), {:linear} tagged_locs: Set (TaggedLoc V T))
{
assume {:add_to_pool "Loc_New", l} true;
tagged_locs := Set((lambda x: TaggedLoc K :: x->loc == l->val && Set_Contains(ks, x->tag)));
tagged_locs := Set((lambda x: TaggedLoc V T :: x->loc == l->val && Set_Contains(tags, x->tag)));
}

procedure create_async<T>(PA: T);
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39 changes: 20 additions & 19 deletions Source/Core/node.bpl
Original file line number Diff line number Diff line change
@@ -1,76 +1,77 @@
datatype Node<K,T> { Node(next: Option K, val: T) }
datatype Node<T> { Node(next: Option (Loc (Node T)), val: T) }
type LocNode T = Loc (Node T);

function Between<K,T>(f: [K]Node K T, x: Option K, y: Option K, z: Option K): bool;
function Avoiding<K,T>(f: [K]Node K T, x: Option K, y: Option K, z: Option K): bool;
function {:inline} BetweenSet<K,T>(f:[K]Node K T, x: Option K, z: Option K): [K]bool
function Between<T>(f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T))): bool;
function Avoiding<T>(f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T))): bool;
function {:inline} BetweenSet<T>(f:[Loc (Node T)]Node T, x: Option (Loc (Node T)), z: Option (Loc (Node T))): [Loc (Node T)]bool
{
(lambda y: K :: Between(f, x, Some(y), z))
(lambda y: Loc (Node T) :: Between(f, x, Some(y), z))
}

// reflexive
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K :: Between(f, x, x, x));
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)) :: Between(f, x, x, x));

// step
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Loc (Node T) ::
{f[x]}
Between(f, Some(x), f[x]->next, f[x]->next));

// reach
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: K, y: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Loc (Node T), y: Option (Loc (Node T)) ::
{f[x], Between(f, Some(x), y, y)}
Between(f, Some(x), y, y) ==> Some(x) == y || Between(f, Some(x), f[x]->next, y));

// cycle
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: K, y: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Loc (Node T), y: Option (Loc (Node T)) ::
{f[x], Between(f, Some(x), y, y)}
f[x]->next == Some(x) && Between(f, Some(x), y, y) ==> Some(x) == y);

// sandwich
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)) ::
{Between(f, x, y, x)}
Between(f, x, y, x) ==> x == y);

// order1
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)) ::
{Between(f, x, y, y), Between(f, x, z, z)}
Between(f, x, y, y) && Between(f, x, z, z) ==> Between(f, x, y, z) || Between(f, x, z, y));

// order2
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)) ::
{Between(f, x, y, z)}
Between(f, x, y, z) ==> Between(f, x, y, y) && Between(f, y, z, z));

// transitive1
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)) ::
{Between(f, x, y, y), Between(f, y, z, z)}
Between(f, x, y, y) && Between(f, y, z, z) ==> Between(f, x, z, z));

// transitive2
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K, w: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)), w: Option (Loc (Node T)) ::
{Between(f, x, y, z), Between(f, y, w, z)}
Between(f, x, y, z) && Between(f, y, w, z) ==> Between(f, x, y, w) && Between(f, x, w, z));

// transitive3
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K, w: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)), w: Option (Loc (Node T)) ::
{Between(f, x, y, z), Between(f, x, w, y)}
Between(f, x, y, z) && Between(f, x, w, y) ==> Between(f, x, w, z) && Between(f, w, y, z));

// This axiom is required to deal with the incompleteness of the trigger for the reflexive axiom.
// It cannot be proved using the rest of the axioms.
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, u: Option K, x: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, u: Option (Loc (Node T)), x: Option (Loc (Node T)) ::
{Between(f, u, x, x)}
Between(f, u, x, x) ==> Between(f, u, u, x));

// relation between Avoiding and Between
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)) ::
{Avoiding(f, x, y, z)}
Avoiding(f, x, y, z) <==> Between(f, x, y, z) || (Between(f, x, y, y) && !Between(f, x, z, z)));
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, x: Option K, y: Option K, z: Option K ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, x: Option (Loc (Node T)), y: Option (Loc (Node T)), z: Option (Loc (Node T)) ::
{Between(f, x, y, z)}
Between(f, x, y, z) <==> Avoiding(f, x, y, z) && Avoiding(f, x, z, z));

// update
axiom {:ctor "Node"} (forall<K,T> f: [K]Node K T, u: Option K, v: Option K, x: Option K, p: K, q: Node K T ::
axiom {:ctor "Node"} (forall<T> f: [Loc (Node T)]Node T, u: Option (Loc (Node T)), v: Option (Loc (Node T)), x: Option (Loc (Node T)), p: Loc (Node T), q: Node T ::
{Avoiding(f[p := q], u, v, x)}
Avoiding(f[p := q], u, v, x) <==>
(Avoiding(f, u, v, Some(p)) && Avoiding(f, u, v, x)) ||
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2 changes: 1 addition & 1 deletion Test/civl/large-samples/GC.bpl
Original file line number Diff line number Diff line change
Expand Up @@ -2,7 +2,7 @@
// Copyright (c) Microsoft Corporation. All rights reserved.
//

// RUN: %parallel-boogie -lib:set_size "%s" > "%t"
// RUN: %parallel-boogie -lib:set_size -timeLimit:0 -vcsSplitOnEveryAssert "%s" > "%t"
// RUN: %diff "%s.expect" "%t"

// Tid(i, ps) represents a linear thread id for thread number i, where i > 0 and ps = {Left(i), Right(i)}.
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