Dataform Ontology Meanings
LDa
Sol
Prf
Der
Ref
CRf
Int
DIn
FIn
IIn
HIn
Mod
DMo
FMo
IMo
HMo
Sat
Lof
Lth
Lfo
Lcn
IPr
IRf
ICf
Ass
Non
LogicalData (LDa): Logical data.
Solution (Sol): A solution.
Proof (Prf): A proof.
Derivation (Der): A derivation (inference steps ending in the theorem, in the Hilbert style).
Refutation (Ref): A refutation (starting with
Ax ∪ ¬C
and ending in
FALSE
).
CNFRefutation (CRf): A refutation in clause normal form, including, for FOF
Ax
or
C
, the translation from FOF to CNF (without the FOF to CNF translation it is an IncompleteRefutation).
Interpretation (Int): An interpretation.
DomainInterpretation (DIn): An interpretation expressed as a domain, a mapping for functions, and a relation for predicates.
FiniteInterpretation (FIn): A domain interpretation with a finite domain.
InfiniteInterpretation (IIn): A domain interpretation with an infinite domain.
HerbrandInterpretation (HIn): A Herbrand interpretation.
Model (Mod): A model.
DomainModel (DMo): A model expressed as a domain, a mapping for functions, and a relation for predicates.
FiniteModel (FMo): A domain model with a finite domain.
InfiniteModel (IMo): A domain model with an infinite domain.
HerbrandModel (HMo): A Herbrand model.
Saturation (Sat): A model expressed as a saturating set of formulae.
ListofFormulae (Lof): A list of formulae.
ListofTHF (Lth): A list of THF formulae.
ListofFOF (Lfo): A list of FOF formulae.
ListofCNF (Lcn): A list of CNF formulae.
IncompleteProof (IPr): A proof with part missing.
IncompleteRefutation (IRf): A refutation with parts missing.
IncompleteCNFRefutation (ICf): A CNF refutation with parts missing.
Assurance (Ass): Only an assurance of the success ontology value.
None (Non): Nothing.