[Imprint][Data Privacy Statement][E-Mail]

Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Signature symbols in this unit

Symbol Specification Kind Type
# .refsetfrefset → nat
# .heapfheap → nat
# .list-dataflist → nat
#oclist-permfelem × list → nat
. 'listfelem → list
. * .heap-sepf(heap → bool) × (heap → bool) → heap → bool
. + .nat-basicfnat × nat → nat
. + .list-datafelem × list → list
. + .listflist × list → list
. + .listflist × elem → list
. ++ .refsetfrefset × ref → refset
. ++ .heapfheap × ref → heap
. ++ .list-dupflist × elem → list
. +1nat-basicfnat → nat
. +2 .listfelem × elem → list
. - .natpfnat × nat → nat with λ n, m. n ≥ m
. -* .heap-sepf(heap → bool) × (heap → bool) → heap → bool
. -- .refsetfrefset × ref → refset
. -- .heapfheap × ref → heap
. -> .heap-sepf(heap → bool) × (heap → bool) → heap → bool
. -⊗ .heap-sepf(heap → bool) × (heap → bool) → heap → bool
. -1nat-basicpfnat → nat with λ n. n ≠ 0
. -1l .list-delflist × elem → list
. -l .list-delflist × elem → list
. -p .list-delflist × nat → list
. .butlastlist-lastpflist → list with λ x. x ≠ []
. .headlist-datapflist → elem with λ x. x ≠ []
. .lastlist-lastpflist → elem with λ x. x ≠ []
. .leftnodefnode → ref
. .left:= .nodefnode × ref → node
. .rightnodefnode → ref
. .right:= .nodefnode × ref → node
. .taillist-datapflist → list with λ x. x ≠ []
. .valnodefnode → elem
. .val:= .nodefnode × elem → node
. < .nat-basicpnat × nat
. < .oelempelem × elem
. < .list-dataplist × list
. => .node-heapfref × node → heap → bool
. =>?mapletfref → heap → bool
. =>_mapletfref → heap → bool
. > .natpnat × nat
. [ . ]node-heapfheap × ref → node
. [ . ]node-heapfheap × ref × node → heap
. [ . ]list-getputpflist × nat → elem with λ x, n. n < # x
. [ . ]list-getputpflist × nat × elem → list with λ x, n, a. n < # x
. \ .refsetfrefset × refset → refset
. \ .heapfheap × refset → heap
. \ .heapfheap × heap → heap
. \ .list-setflist × list → list
. ∈ .refsetpref × refset
. ∈ .heappref × heap
. ∈ .listpelem × list
. ∩ .refsetfrefset × refset → refset
. ∪ .refsetfrefset × refset → refset
. ∪ .heapfheap × heap → heap
. ∪ .list-setflist × list → list
. ≡ .separationpheap × heap
. ≤ .natpnat × nat
. ≥ .natpnat × nat
. ⊆ .refsetprefset × refset
. ⊆ .heappheap × heap
. ⊆ .heap-sepp(heap → bool) × (heap → bool)
. ⊆ .list-setplist × list
. ⊆m .list-permplist × list
. ⊑ .list-lastplist × list
. ⊒ .list-lastplist × list
. ⊗ .heap-sepf(heap → bool) × (heap → bool) → heap → bool
. ⊥ .heappheap × heap
. and .heap-sepf(heap → bool) × (heap → bool) → heap → bool
. or .heap-sepf(heap → bool) × (heap → bool) → heap → bool
[]list-dataclist
_∃ .mapletf(ref → heap → bool) → heap → bool
_∃ .mapletf(ref × ref → heap → bool) → heap → bool
_∃ .node-heapf(node → heap → bool) → heap → bool
{ . }refsetfref → refset
{ . }heap-sepfheap → heap → bool
∅refsetcrefset
∅heapcheap
⌜ . ⌝heap-sepfbool → heap → bool
Trueseparationpbool
adlinked-listvelem
allocopspr : ref × heap (nondeterministic)
alloc#opsprrefset : ref × heap (nondeterministic)
bdlinked-listvelem
butlastnlist-lastpfnat × list → list with λ n, x. n ≤ # x
cdlinked-listvelem
disjlist-dupplist × list
dlldlinked-listfref × list → heap → bool
dllsdlinked-listfref × ref × ref × list → heap → bool
dom .heapfheap → refset
dupslist-dupplist
elemelems
empheap-seppheap
falseheap-seppheap
fillfirstlist-lastfnat × elem × list → list
filterlist-setflist × list → list
firstnlist-delpfnat × list → list with λ n, x. n ≤ # x
freeopsprref : heap
fromelist-delflist × elem → list
hdlinked-listvheap
hPdlinked-listvheap → bool
heapheaps
ins≤olistfelem × list → list
iteheap-sepfbool × (heap → bool) × (heap → bool) → heap → bool
lastnlist-delpfnat × list → list with λ n, x. n ≤ # x
listlist-datas
maxolist-min-maxpflist → elem with λ x. x ≠ []
mergeolistflist × list → list
minolist-min-maxpflist → elem with λ x. x ≠ []
mklistlist-lastfelem × nat → list
mknodenodefref × elem × ref → node
natnat-basics
nodenodes
not .heap-sepf(heap → bool) → heap → bool
nullrefcref
ordered<olistplist
ordered≤olistplist
permlist-permplist × list
poslist-delfelem × list → nat
preciseheap-sepp(heap → bool)
rdlinked-listvref
readnode-heapprref × heap : : node
refrefs
refsetrefsets
restnlist-delpfnat × list → list with λ n, x. n ≤ # x
revlist-lastflist → list
rmduplist-dupflist → list
sortolist-sortflist → list
sublistlist-delpfnat × nat × list → list with λ n, m, x. n + m ≤ # x
trueheap-seppheap
writenode-heapprref × node : heap
xdlinked-listvlist
ydlinked-listvlist
zdlinked-listvlist