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» Verifying Process Algebra Proofs in Type Theory
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ICFP
2010
ACM
13 years 8 months ago
VeriML: typed computation of logical terms inside a language with effects
Modern proof assistants such as Coq and Isabelle provide high degrees of expressiveness and assurance because they support formal reasoning in higher-order logic and supply explic...
Antonis Stampoulis, Zhong Shao
PLPV
2009
ACM
14 years 4 months ago
Embedding a logical theory of constructions in Agda
We propose a new way to reason about general recursive functional programs in the dependently typed programming language Agda, which is based on Martin-L¨of’s intuitionistic ty...
Ana Bove, Peter Dybjer, Andrés Sicard-Ram&i...
POPL
2003
ACM
14 years 8 months ago
Pure patterns type systems
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
Gilles Barthe, Horatiu Cirstea, Claude Kirchner, L...
CADE
1992
Springer
13 years 11 months ago
Implementing the Meta-Theory of Deductive Systems
Abstract. We exhibit a methodology for formulating and verifying metatheorems about deductive systems in the Elf language, an implementation of the LF Logical Framework with an ope...
Frank Pfenning, Ekkehard Rohwedder
CADE
2004
Springer
14 years 8 months ago
Automatic Generation of Classification Theorems for Finite Algebras
Abstract. Classifying finite algebraic structures has been a major motivation behind much research in pure mathematics. Automated techniques have aided in this process, but this ha...
Simon Colton, Andreas Meier, Volker Sorge, Roy L. ...