[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
# .list-datafList('a) → Nat
#oclist-permf'a × List('a) → Nat
. 'listf'a → List('a)
. + .nat-basicfNat × Nat → Nat
. + .list-dataf'a × List('a) → List('a)
. + .listfList('a) × List('a) → List('a)
. + .listfList('a) × 'a → List('a)
. ++ .list-dupfList('a) × 'a → List('a)
. +1nat-basicfNat → Nat
. +2 .listf'a × 'a → List('a)
. - .natpfNat × Nat → Nat with λ n, m. n ≥ m
. -1nat-basicpfNat → Nat with λ n. n ≠ 0
. -1l .list-delfList('a) × 'a → List('a)
. -l .list-delfList('a) × 'a → List('a)
. -p .list-delfList('a) × Nat → List('a)
. .R?RWeventpRWevent
. .W?RWeventpRWevent
. .butlastlist-lastpfList('a) → List('a) with λ x. x ≠ []
. .count ( . )filter-countfList('a) × ('a → Bool) → Nat
. .count ( . )filter-countpfList('a) × Nat × Nat × ('a → Bool) → Nat with λ x, m, n, p. m ≤ n ∧ n ≤ # x
. .distinctlist-dupfList('a) → List('a)
. .drop ( . )list-delpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .dropRight ( . )list-lastpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .exists ( . )forall-indexWherepList('a) × ('a → Type(Bool))
. .filter ( . )filter-countfList('a) × ('a → Bool) → List('a)
. .foldLeft ( . )listfList('a) × 'b × ('b × 'a → 'b) → 'b
. .forall ( . )forall-indexWherepList('a) × ('a → Type(Bool))
. .headlist-datapfList('a) → 'a with λ x. x ≠ []
. .indexOf ( . )list-delfList('a) × 'a → Nat
. .indexWhere ( . )forall-indexWherefList('a) × ('a → Bool) → Nat
. .lRWeventfRWevent → L
. .lastlist-lastpfList('a) → 'a with λ x. x ≠ []
. .lastPersistedOrElse ( . )PLIB-predspList((RWevent, Bool)) × L × Bool
. .map ( . )listfList('a) × ('a → 'b) → List('b)
. .sublist ( . )list-delpfList('a) × Nat × Nat → List('a) with λ x, n, m. n + m ≤ # x
. .tRWeventfRWevent → T
. .taillist-datapfList('a) → List('a) with λ x. x ≠ []
. .take ( . )list-delpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .takeRight ( . )list-delpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .vRWeventfRWevent → V
. < .nat-basicpNat × Nat
. < .list-datapList('a) × List('a)
. > .natpNat × Nat
. [ . := . ]list-getputpfList('a) × Nat × 'a → List('a) with λ x, n, a. n < # x
. [ . ]list-getputpfList('a) × Nat → 'a with λ x, n. n < # x
. \ .list-setfList('a) × List('a) → List('a)
. | .PLIB-predsfList((RWevent, Bool)) × T → List((RWevent, Bool))
. | .PLIB-predsfList((RWevent, Bool)) × Bool → List((RWevent, Bool))
. | .PLIB-predsfList((RWevent, Bool)) × L → List((RWevent, Bool))
. |RPLIB-predsfList((RWevent, Bool)) → List((RWevent, Bool))
. |WPLIB-predsfList((RWevent, Bool)) → List((RWevent, Bool))
. ∈ .listp'a × List('a)
. ∪ .list-setfList('a) × List('a) → List('a)
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
. ⊆ .list-setpList('a) × List('a)
. ⊆m .list-permpList('a) × List('a)
. ⊑ .list-lastpList('a) × List('a)
. ⊑p .PLIB-predspList((RWevent, Bool)) × List((RWevent, Bool))
. ⊒ .list-lastpList('a) × List('a)
. ⊕ .PLIB-predsf(L → V) × List((RWevent, Bool)) → L → V
. intersect .list-setfList('a) × List('a) → List('a)
. zip .filter-countfList('a) × List('b) → List(('a, 'b))
[]list-datacList('a)
∅memoryfL → V
Lmemorys
Listlist-datas
Natnat-basics
OmemorycV
RRWeventfT × L × V → RWevent
RWeventRWevents
Tmemorys
Vmemorys
WRWeventfT × L × V → RWevent
allReadsOKPLIB-predspList((RWevent, Bool))
allReadsOKIndPLIB-predsp(L → Type(V)) × (L → Type(Bool)) × List((RWevent, Bool))
allWritesOKPLIB-predspList((RWevent, Bool))
allWritesOKIndPLIB-predsp(T → Type(Bool)) × (L → Type(Bool)) × List((RWevent, Bool))
bPLIB-predsvBool
disjlist-duppList('a) × List('a)
dupslist-duppList('a)
ePLIB-predsvRWevent
elPLIB-predsvList(RWevent)
eventsPLIB-predsfList((RWevent, Bool)) → List(RWevent)
fillfirstlist-lastfNat × 'a × List('a) → List('a)
firstVolWritePLIB-predsfL × List((RWevent, Bool)) → Nat
fromelist-delfList('a) × 'a → List('a)
hPLIB-predsvList((RWevent, Bool))
hPredPLIB-predsvList((RWevent, Bool)) → Bool
lPLIB-predsvL
memPLIB-predsvL → V
mklistlist-lastf'a × Nat → List('a)
nPLIB-predsvNat
pendingPLIB-predsvT → Bool
permlist-permpList('a) × List('a)
persistDependentReadsPLIB-predsfL × List((RWevent, Bool)) → List((RWevent, Bool))
persistedPLIB-predsvL → Bool
relyPLIB-predspT × List((RWevent, Bool)) × List((RWevent, Bool))
revlist-lastfList('a) → List('a)
tPLIB-predsvT
vPLIB-predsvV
vpePLIB-predsv(RWevent, Bool)