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» Automating Proofs in Category Theory
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CSL
2004
Springer
15 years 5 months ago
Abstract Interpretation of Proofs: Classical Propositional Calculus
Interpretation of Proofs: Classical Propositional Calculus Martin Hyland DPMMS, Centre for Mathematical Sciences, University of Cambridge, England Representative abstract interpret...
Martin Hyland
ICLP
2003
Springer
15 years 4 months ago
A Tutorial on Proof Theoretic Foundations of Logic Programming
Abstract logic programming is about designing logic programming languages via the proof theoretic notion of uniform provability. It allows the design of purely logical, very expres...
Paola Bruscoli, Alessio Guglielmi
TYPES
1999
Springer
15 years 3 months ago
Information Retrieval in a Coq Proof Library Using Type Isomorphisms
We propose a method to search for a lemma in a goq proof library by using the lemma type as a key. The method is based on the concept of type isomorphism developed within the funct...
David Delahaye
TPHOL
1999
IEEE
15 years 4 months ago
A Machine-Checked Theory of Floating Point Arithmetic
Abstract. Intel is applying formal verification to various pieces of mathematical software used in Merced, the first implementation of the new IA-64 architecture. This paper discus...
John Harrison
TPHOL
2002
IEEE
15 years 4 months ago
The 5 Colour Theorem in Isabelle/Isar
Based on an inductive definition of triangulations, a theory of undirected planar graphs is developed in Isabelle/HOL. The proof of the 5 colour theorem is discussed in some detai...
Gertrud Bauer, Tobias Nipkow