摘要：We define a notion of model for the lambda Pi-calculus modulo theory and prove a soundness theorem. We then define a notion of super-consistency and prove that proof reduction terminates in the lambda Pi-calculus modulo any super-consistent theory. We prove this way the termination of proof reduction in several theories including Simple type theory and the Calculus of constructions.
关键词：model; proof reduction; Simple type theory; Calculus of constructions
