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class List<T> {
ghost var Repr: set<object>;
ghost var list: seq<T>;
var root: Node<T>;
function Valid_repr(): bool
reads *;
{
this in Repr &&
null !in Repr &&
(root != null ==> root in Repr && root.Repr <= Repr && this !in root.Repr)
}
function Valid_self(): bool
reads *;
{
Valid_repr() &&
(root == null ==> |list| == 0) &&
(root != null ==> list == root.list)
}
function Valid(): bool
reads *;
{
this.Valid_self() &&
(root != null ==> root.Valid())
}
method Double(p: T, q: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures list == [p, q];
{
var gensym68 := new Node<T>;
gensym68._synth_List_Double_gensym68(p, q);
this.list := [p, q];
this.root := gensym68;
// repr stuff
this.Repr := {this} + this.root.Repr;
}
method Empty()
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures list == [];
{
this.list := [];
this.root := null;
// repr stuff
this.Repr := {this};
}
method Singleton(t: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures list == [t];
{
var gensym69 := new Node<T>;
gensym69._synth_List_Singleton_gensym69(t);
this.list := [t];
this.root := gensym69;
// repr stuff
this.Repr := {this} + this.root.Repr;
}
}
class Node<T> {
ghost var Repr: set<object>;
ghost var list: seq<T>;
var data: T;
var next: Node<T>;
function Valid_repr(): bool
reads *;
{
this in Repr &&
null !in Repr &&
(next != null ==> next in Repr && next.Repr <= Repr && this !in next.Repr)
}
function Valid_self(): bool
reads *;
{
Valid_repr() &&
(next == null <==> list == [data] && list[0] == data) &&
(next != null ==> list == [data] + next.list) &&
(|list| > 0)
}
function Valid(): bool
reads *;
{
this.Valid_self() &&
(next != null ==> next.Valid_self()) &&
(next != null && next.next != null ==> next.next.Valid_self())
}
method Init(t: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures list == [t];
{
this.data := t;
this.list := [t];
this.next := null;
// repr stuff
this.Repr := {this};
}
method _synth_List_Double_gensym68(p: T, q: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures |list| == 2;
ensures list[0] == p;
ensures list[1] == q;
{
var gensym75 := new Node<T>;
gensym75._synth_Node__synth_List_Double_gensym68_gensym75(q);
this.data := p;
this.list := [p, q];
this.next := gensym75;
// repr stuff
this.Repr := {this} + this.next.Repr;
}
method _synth_List_Singleton_gensym69(t: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures |list| == 1;
ensures list[0] == t;
{
this.data := t;
this.list := [t];
this.next := null;
// repr stuff
this.Repr := {this};
}
method Double(p: T, q: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures list == [p, q];
{
var gensym73 := new Node<T>;
gensym73._synth_Node_Double_gensym73(q);
this.data := p;
this.list := [p, q];
this.next := gensym73;
// repr stuff
this.Repr := {this} + this.next.Repr;
}
method _synth_Node_Double_gensym73(q: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures |list| == 1;
ensures list[0] == q;
{
this.data := q;
this.list := [q];
this.next := null;
// repr stuff
this.Repr := {this};
}
method _synth_Node__synth_List_Double_gensym68_gensym75(q: T)
modifies this;
ensures fresh(Repr - {this});
ensures Valid();
ensures |list| == 1;
ensures list[0] == q;
{
this.data := q;
this.list := [q];
this.next := null;
// repr stuff
this.Repr := {this};
}
}
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