Proofs in parameterized specifications

Abstract

Theorem proving in parameterized specifications has strong connections with inductive theorem proving. An equational theorem holds in the generic theory of the parameterized specification if and only if it holds in the so-called generic algebra. Provided persistency, for any specification morphism, the translated equality holds in the initial algebra of the instantiated specification. Using a notion of generic ground reducibility, a persistency proof can be reduced to a proof of a protected enrichment. Effective tools for these proofs are studied in this paper.