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PEPM
2010
ACM
15 years 1 months ago
A3PAT, an approach for certified automated termination proofs
Software engineering, automated reasoning, rule-based programming or specifications often use rewriting systems for which termination, among other properties, may have to be ensur...
Evelyne Contejean, Andrey Paskevich, Xavier Urbain...
FCT
2007
Springer
15 years 6 months ago
On Block-Wise Symmetric Signatures for Matchgates
We give a classification of block-wise symmetric signatures in the theory of matchgate computations. The main proof technique is matchgate identities, a.k.a. useful Grassmann-Pl¨...
Jin-yi Cai, Pinyan Lu
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
CADE
2005
Springer
16 years 4 days ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
POPL
2010
ACM
15 years 9 months ago
Generating Compiler Optimizations from Proofs
We present an automated technique for generating compiler optimizations from examples of concrete programs before and after improvements have been made to them. The key technical ...
Ross Tate, Michael Stepp, Sorin Lerner