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CADE
2005
Springer
14 years 9 months 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
JAR
2006
236views more  JAR 2006»
13 years 8 months ago
Deciding Boolean Algebra with Presburger Arithmetic
We describe an algorithm for deciding the first-order multisorted theory BAPA, which combines 1) Boolean algebras of sets of uninterpreted elements (BA) and 2) Presburger arithmeti...
Viktor Kuncak, Huu Hai Nguyen, Martin C. Rinard
PODS
2007
ACM
107views Database» more  PODS 2007»
14 years 8 months ago
Polynomial time fragments of XPath with variables
Variables are the distinguishing new feature of XPath 2.0 which permits to select n-tuples of nodes in trees. It is known that the Core of XPath 2.0 captures n-ary first-order (FO...
Emmanuel Filiot, Joachim Niehren, Jean-Marc Talbot...
TLCA
2005
Springer
14 years 2 months ago
Semantic Cut Elimination in the Intuitionistic Sequent Calculus
Cut elimination is a central result of the proof theory. This paper proposes a new approach for proving the theorem for Gentzen’s intuitionistic sequent calculus LJ, that relies ...
Olivier Hermant
ITP
2010
163views Mathematics» more  ITP 2010»
14 years 17 days 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