first-order logic with equality

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf logical system
gptkbp:alsoKnownAs FOL with equality
gptkbp:compact compact
gptkbp:completeness complete
gptkbp:decidability undecidable
gptkbp:distinctFrom first-order logic without equality
gptkbp:expressivity can express identity of objects
gptkbp:extendsTo gptkb:first-order_logic
gptkbp:hasAxiom reflexivity of equality
substitutivity of equality
symmetry of equality
transitivity of equality
gptkbp:hasPredicate =
https://www.w3.org/2000/01/rdf-schema#label first-order logic with equality
gptkbp:includes equality predicate
gptkbp:Löwenheim–Skolem_property has
gptkbp:relatedStandard gptkb:Enderton,_Elements_of_Set_Theory
gptkb:Hodges,_A_Shorter_Model_Theory
gptkbp:usedIn gptkb:logic
model theory
automated theorem proving
gptkbp:bfsParent gptkb:ZFC
gptkbp:bfsLayer 6