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Signature symbols in this unit

Symbol	Specification	Kind	Type
# .	refset	f	refset → nat
# .	heap	f	heap → nat
# .	list-data	f	list → nat
# .	heap-aux	f	heap-aux → nat
. '	list	f	elem → list
. * .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
. * .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. + .	list	f	list × elem → list
. + .	nat-basic	f	nat × nat → nat
. + .	list	f	list × list → list
. + .	list-data	f	elem × list → list
. ++ .	refset	f	refset × ref → refset
. ++ .	heap-aux	f	heap-aux × ref → heap-aux
. ++ .	heap	f	heap × ref → heap
. +1	nat-basic	f	nat → nat
. +2 .	list	f	elem × elem → list
. - .	nat	pf	nat × nat → nat with λ n, m. n ≥ m
. -* .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. -* .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
. -- .	refset	f	refset × ref → refset
. -- .	heap	f	heap × ref → heap
. -- .	heap-aux	f	heap-aux × ref → heap-aux
. -> .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. -> .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
. -⊗ .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
. -⊗ .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. -1	nat-basic	pf	nat → nat with λ n. n ≠ 0
. .head	list-data	pf	list → elem with λ x. x ≠ []
. .nxt	cell	f	cell → ref
. .nxt:= .	cell	f	cell × ref → cell
. .tail	list-data	pf	list → list with λ x. x ≠ []
. .val	cell	f	cell → elem
. .val:= .	cell	f	cell × elem → cell
. < .	list-data	p	list × list
. < .	nat-basic	p	nat × nat
. ==> ( . )	cell-heap-aux	f	ref × cell × aux → heap-aux → bool
. ==>?	heap-aux	f	ref → heap-aux → bool
. ==>_	heap-aux	f	ref → heap-aux → bool
. => .	cell-heap-aux	f	ref × cell → heap → bool
. =>?	maplet	f	ref → heap → bool
. =>_	maplet	f	ref → heap → bool
. > .	nat	p	nat × nat
. [ . ]	cell-heap-aux	p	(heap-aux → bool) × refset × (ref → cell) × (ref → aux)
. [ . ]	cell-heap-aux	f	heap × ref → cell
. [ . ]	cell-heap-aux	p	(heap → bool) × refset × (ref → cell)
. [ . ]	cell-heap-aux	f	heap × ref × cell → heap
. [ . ]	embed-aux	f	aux × (heap → bool) → heap-aux → bool
. [ . ]	cell-heap-aux	f	heap-aux × ref × cell × aux → heap-aux
. [ . ]a	heap-aux	f	heap-aux × ref → aux
. [ . ]o	cell-heap-aux	f	heap-aux × ref → cell
. \ .	refset	f	refset × refset → refset
. \ .	heap-aux	f	heap-aux × heap-aux → heap-aux
. \ .	heap	f	heap × refset → heap
. \ .	heap-aux	f	heap-aux × refset → heap-aux
. \ .	heap	f	heap × heap → heap
. × .	cell	f	elem × ref → cell
. ∈ .	list	p	elem × list
. ∈ .	heap-aux	p	ref × heap-aux
. ∈ .	heap	p	ref × heap
. ∈ .	refset	p	ref × refset
. ∩ .	refset	f	refset × refset → refset
. ∪ .	refset	f	refset × refset → refset
. ∪ .	heap	f	heap × heap → heap
. ∪ .	heap-aux	f	heap-aux × heap-aux → heap-aux
. ≤ .	nat	p	nat × nat
. ≥ .	nat	p	nat × nat
. ⊆ .	heap-aux	p	(heap-aux → bool) × (heap-aux → bool)
. ⊆ .	heap-aux	p	heap-aux × heap-aux
. ⊆ .	refset	p	refset × refset
. ⊆ .	heap-sep	p	(heap → bool) × (heap → bool)
. ⊆ .	heap	p	heap × heap
. ⊗ .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
. ⊗ .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. ⊥ .	heap-aux	p	heap-aux × heap-aux
. ⊥ .	heap	p	heap × heap
. and .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
. and .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. or .	heap-aux	f	(heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
. or .	heap-sep	f	(heap → bool) × (heap → bool) → heap → bool
[]	list-data	c	list
_∃ .	linked-list-aux	f	(list → heap → bool) → heap → bool
_∃ .	cell-heap-aux	f	(cell × aux → heap-aux → bool) → heap-aux → bool
_∃ .	maplet	f	(ref → heap → bool) → heap → bool
_∃ .	heap-aux	f	(ref × ref → heap-aux → bool) → heap-aux → bool
_∃ .	maplet	f	(ref × ref → heap → bool) → heap → bool
_∃ .	heap-aux	f	(ref → heap-aux → bool) → heap-aux → bool
_∃ .	cell-heap-aux	f	(cell → heap → bool) → heap → bool
{ . }	refset	f	ref → refset
{ . }	heap-aux	f	heap-aux → heap-aux → bool
{ . }	heap-sep	f	heap → heap → bool
∅	refset	c	refset
∅	heap	c	heap
∅	heap-aux	c	heap-aux
⌜ . ⌝	heap-aux	f	bool → heap-aux → bool
⌜ . ⌝	heap-sep	f	bool → heap → bool
Boolvar	heap-aux	v	bool,flexible
H	heap	v	heap
H0	heap	v	heap
H1	heap	v	heap
H2	heap	v	heap
Ha	heap-aux	v	heap-aux
Ha0	heap-aux	v	heap-aux
Ha1	heap-aux	v	heap-aux
Ha2	heap-aux	v	heap-aux
P	heap-sep	v	heap → bool
P0	heap-sep	v	heap → bool
P1	heap-sep	v	heap → bool
P2	heap-sep	v	heap → bool
R	heap-aux	v	heap-aux → bool
R0	heap-aux	v	heap-aux → bool
R1	heap-aux	v	heap-aux → bool
R2	heap-aux	v	heap-aux → bool
a	elem	v	elem
a0	cell	v	elem
af	cell-heap-aux	v	ref → aux
af0	cell-heap-aux	v	ref → aux
af1	cell-heap-aux	v	ref → aux
aux	aux	s
b	elem	v	elem
boolvar	heap-aux	v	bool
boolvar0	heap-aux	v	bool
boolvar1	heap-aux	v	bool
bv	heap-sep	v	bool
c	elem	v	elem
ce	cell	v	cell
ce0	cell	v	cell
ce1	cell	v	cell
cell	cell	s
cf	cell-heap-aux	v	ref → cell
cf0	cell-heap-aux	v	ref → cell
cf1	cell-heap-aux	v	ref → cell
elem	elem	s
emp	heap-sep	p	heap
emp	heap-aux	p	heap-aux
false	heap-aux	p	heap-aux
false	heap-sep	p	heap
heap	heap	s
heap-aux	heap-aux	s
ite	heap-aux	f	bool × (heap-aux → bool) × (heap-aux → bool) → heap-aux → bool
ite	heap-sep	f	bool × (heap → bool) × (heap → bool) → heap → bool
list	list-data	s
ls	linked-list-aux	f	ref × list → heap → bool
lst	linked-list-aux	f	ref → heap → bool
m	nat-basic	v	nat
mk	cell-heap-aux	f	refset × (ref → cell) → heap
mk	cell-heap-aux	f	refset × (ref → cell) × (ref → aux) → heap-aux
n	nat-basic	v	nat
n0	nat-basic	v	nat
n1	nat-basic	v	nat
nat	nat-basic	s
not .	heap-aux	f	(heap-aux → bool) → heap-aux → bool
not .	heap-sep	f	(heap → bool) → heap → bool
null	ref	c	ref
o	cell-heap-aux	v	aux
o0	cell-heap-aux	v	aux
o1	cell-heap-aux	v	aux
oP	cell-heap-aux	v	cell → heap → bool
oR	cell-heap-aux	v	cell × aux → heap-aux → bool
owns-none	rg	p	aux × refset × (ref → aux)
owns-one	rg	p	aux × ref × refset × (ref → aux)
precise	heap-sep	p	(heap → bool)
precise	heap-aux	p	(heap-aux → bool)
r	ref	v	ref
r0	ref	v	ref
r1	ref	v	ref
rP	maplet	v	ref → heap → bool
rR	heap-aux	v	ref → heap-aux → bool
ref	ref	s
refset	refset	s
rely	cell-heap-aux	p	aux × refset × (ref → cell) × (ref → aux) × refset × (ref → cell) × (ref → aux)
rrP	maplet	v	ref × ref → heap → bool
rrR	heap-aux	v	ref × ref → heap-aux → bool
rs	refset	v	refset
rs0	refset	v	refset
rs1	refset	v	refset
rs2	refset	v	refset
true	heap-sep	p	heap
true	heap-aux	p	heap-aux
x	list-data	v	list
x0	list-data	v	list
x1	list-data	v	list
xv	linked-list-aux	v	list → heap → bool
y	list-data	v	list
z	list-data	v	list