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CASC
2007
Springer
112views Mathematics» more  CASC 2007»
15 years 8 months ago
An Efficient LLL Gram Using Buffered Transformations
In this paper we introduce an improved variant of the LLL algorithm. Using the Gram matrix to avoid expensive correction steps necessary in the Schnorr-Euchner algorithm and introd...
Werner Backes, Susanne Wetzel
ITP
2010
163views Mathematics» more  ITP 2010»
15 years 8 months ago
Fast LCF-Style Proof Reconstruction for Z3
Abstract. The Satisfiability Modulo Theories (SMT) solver Z3 can generate proofs of unsatisfiability. We present independent reconstruction of these proofs in the theorem provers...
Sascha Böhme, Tjark Weber
ITP
2010
161views Mathematics» more  ITP 2010»
15 years 8 months ago
Separation Logic Adapted for Proofs by Rewriting
We present a formalisation of separation logic which, by avoiding the use of existential quantifiers, allows proofs that only use standard equational rewriting methods as found in...
Magnus O. Myreen
ITP
2010
172views Mathematics» more  ITP 2010»
15 years 8 months ago
Equations: A Dependent Pattern-Matching Compiler
Abstract. We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functi...
Matthieu Sozeau
CASC
2006
Springer
100views Mathematics» more  CASC 2006»
15 years 8 months ago
Reducing Computational Costs in the Basic Perturbation Lemma
Homological Perturbation Theory [11, 13] is a well-known general method for computing homology, but its main algorithm, the Basic Perturbation Lemma, presents, in general, high com...
Ainhoa Berciano, María José Jim&eacu...