Proof-search in Type-theoretic Languages: An Introduction
Identifieur interne : 003D90 ( Hal/Corpus ); précédent : 003D89; suivant : 003D91Proof-search in Type-theoretic Languages: An Introduction
Auteurs : Didier Galmiche ; David PymSource :
- Theoretical Computer Science [ 0304-3975 ] ; 2000.
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Abstract
We introduce the main concepts and problems in the theory of proof-search in type-theoretic languages and survey some specific, connected topics. We do not claim to cover all of the theoretical and implementation issues in the study of proof-search in type-theoretic languages; rather, we present some key ideas and problems, starting from well-motivated points of departure such as a definition of a type-theoretic language or the relationship between languages and proof-objects. The strong connections between different proof-search methods in logics, type theories and logical frameworks, together with their impact on programming and implementation issues, are central in this context.
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