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View the specification.
View theorem base summary,
View theorem base listing,
the used properties by spec,
the dependency list,
the symbol table,
enrich
map,
polyref
with
procedures alloc# : Map[Ref[A], A] → Ref[A] nonfunctional nondeterministic;
variables
h : Map[Ref[A], A];
r : Ref[A];
a : A;
n : Nat;
hP : Map[Ref[A], A] → Bool;
b : B;
c : C;
d : D;
partial functions
. +h . : Map[Ref[A], A] × Ref[A] → Map[Ref[A], A] prio 9 left with λ h, r. ¬ null ∈ h ∧ r ≠ null ∧ ¬ r ∈ h;
. [ . ]h : Map[Ref[A], A] × Ref[A] → A with λ h, r. ¬ null ∈ h ∧ r ≠ null ∧ r ∈ h;
. [ . := . ]h : Map[Ref[A], A] × Ref[A] × A → Map[Ref[A], A] with λ h, r, o. ¬ null ∈ h ∧ r ≠ null ∧ r ∈ h;
. --h . : Map[Ref[A], A] × Ref[A] → Map[Ref[A], A] prio 9 left with λ h, r. ¬ null ∈ h ∧ r ≠ null ∧ r ∈ h;
axioms
get-def: h[r]h = h(r);
used for: s, ls;
put-def: r ∈ h → h[r := a]h = h(r := a);
used for: s, ls;
put-undef: ¬ r ∈ h → h[r := a]h = h;
used for: s, ls;
del-def: h --h r = h -- r;
used for: s, ls;
add-size: ¬ r ∈ h, r ≠ null ⊦ #(h +h r) = # h + 1;
used for: s, ls;
add-get: ¬ r ∈ h, r ≠ null ⊦ r0 ≠ r → (h +h r)(r0) = h(r0);
used for: s, ls;
add-in: ¬ r ∈ h, r ≠ null ⊦ r0 ∈ h +h r ↔ r0 ∈ h ∨ r0 = r;
used for: s, ls;
declarations
alloc:
alloc#(; h){choose r0 with ¬ r0 ∈ h ∧ r0 ≠ null in {h := h +h r0; r0} ifnone null};
end enrich