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Concurrent-js.dfy
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238 lines (181 loc) · 4.53 KB
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@Compile(false)
module Std.JavaScriptConcurrent replaces Concurrent {
class {:extern} MutableMap<K(==), V(==)> ... {
@Axiom
constructor {:extern} (ghost inv: (K, V) -> bool, bytesKeys: bool)
ghost predicate Valid()
{
true
}
@Axiom
method {:extern} Keys() returns (keys: set<K>)
@Axiom
method {:extern} HasKey(k: K) returns (used: bool)
@Axiom
method {:extern} Values() returns (values: set<V>)
@Axiom
method {:extern} Items() returns (items: set<(K,V)>)
@Axiom
method {:extern} Put(k: K, v: V)
@Axiom
method {:extern} Get(k: K) returns (r: Option<V>)
@Axiom
method {:extern} Remove(k: K)
@Axiom
method {:extern} Size() returns (c: nat)
}
class {:extern} AtomicBox<T> ... {
@Axiom
constructor {:extern} (ghost inv: T -> bool, t: T)
ghost predicate Valid() { true }
@Axiom
method {:extern} Get() returns (t: T)
@Axiom
method {:extern} Put(t: T)
}
class {:extern} Lock ... {
@Axiom
constructor {:extern} ()
@Axiom
method {:extern} Lock()
@Axiom
method {:extern} Unlock()
}
}
// Dafny-native implementation, used to generate the extern implementation
module {:extern "Std_Concurrent"} Std.ConcurrentDafny {
import opened Wrappers
class MutableMap<K(==), V(==)> {
ghost const inv: (K, V) -> bool
ghost var knownKeys: set<K>
ghost var knownValues: set<V>
var internal: map<K, V>
constructor (inv: (K, V) -> bool)
ensures Valid()
ensures this.inv == inv
{
internal := map[];
this.inv := inv;
this.knownKeys := {};
this.knownValues := {};
}
ghost predicate Contained()
reads this`internal, this`knownKeys, this`knownValues
{
internal.Keys <= knownKeys && internal.Values <= knownValues
}
ghost predicate Valid()
reads this
{
forall k :: k in internal.Keys ==> inv(k, internal[k]) && Contained()
}
method Keys() returns (keys: set<K>)
requires Valid()
ensures forall k :: k in keys ==> exists v :: v in knownValues && inv(k,v)
{
keys := internal.Keys;
}
method HasKey(k: K) returns (used: bool)
requires Valid()
ensures used ==> exists v :: v in knownValues && inv(k,v)
{
used := k in internal.Keys;
}
method Values() returns (values: set<V>)
requires Valid()
ensures forall v :: v in values ==> exists k :: k in knownKeys && inv(k,v)
{
values := internal.Values;
}
method Items() returns (items: set<(K,V)>)
requires Valid()
ensures forall t :: t in items ==> inv(t.0, t.1)
{
items := internal.Items;
}
method Get(k: K) returns (r: Option<V>)
requires Valid()
ensures r.Some? ==> inv(k, r.value)
{
r := if k in internal.Keys then Some(internal[k]) else None;
}
method Put(k: K, v: V)
requires Valid()
requires inv(k, v)
modifies this
ensures Valid()
{
internal := internal[k := v];
knownKeys := knownKeys + {k};
knownValues := knownValues + {v};
}
method Remove(k: K)
requires Valid()
requires exists v :: inv(k,v)
modifies this
ensures Valid()
{
// only here to mollify the auditor
assert exists v :: inv(k,v);
internal := internal - {k};
}
method Size() returns (c: nat)
{
c := |internal|;
}
}
class AtomicBox<T> {
ghost const inv: T -> bool
var boxed: T
constructor (inv: T -> bool, t: T)
requires inv(t)
ensures Valid()
ensures this.inv == inv
{
boxed := t;
this.inv := inv;
}
ghost predicate Valid()
reads this
{
inv(boxed)
}
method Get() returns (t: T)
requires Valid()
ensures inv(t)
{
t := boxed;
}
method Put(t: T)
requires inv(t)
modifies this
ensures Valid()
{
boxed := t;
}
}
class Lock {
ghost var isLocked: bool
constructor() {
isLocked := false;
}
method Lock()
requires !isLocked
modifies this
ensures isLocked
{
// Written this way so that we don't get a warning about
// "requires !isLocked" being an unnecessary precondition.
isLocked := !isLocked;
}
method Unlock()
requires isLocked
modifies this
ensures !isLocked
{
// Written this way so that we don't get a warning about
// "requires isLocked" being an unnecessary precondition.
isLocked := !isLocked;
}
}
}