Craig interpolation theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:logic
gptkb:first-order_logic
gptkbp:field gptkb:logic
proof theory
https://www.w3.org/2000/01/rdf-schema#label Craig interpolation theorem
gptkbp:namedAfter gptkb:William_Craig
gptkbp:relatedConcept gptkb:Beth_definability_theorem
model theory
proof theory
interpolant
gptkbp:state If a formula A implies a formula B, then there exists a formula C (the interpolant) such that A implies C, C implies B, and C contains only the non-logical symbols common to both A and B.
gptkbp:yearProposed 1957
gptkbp:bfsParent gptkb:William_Craig
gptkbp:bfsLayer 6