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RTA
2005
Springer
13 years 10 months ago
Arithmetic as a Theory Modulo
We present constructive arithmetic in Deduction modulo with rewrite rules only. In natural deduction and in sequent calculus, the cut elimination theorem and the analysis of the st...
Gilles Dowek, Benjamin Werner
CSL
2007
Springer
13 years 11 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
AGP
1995
IEEE
13 years 8 months ago
A Prolog Implementation of Kem
In this paper, we describe a Prolog implementation of a new theorem prover for (normal propositional) modal and multi–modal logics. The theorem prover, which is called KEM, arise...
Alberto Artosi, Paola Cattabriga, Guido Governator...
CADE
2005
Springer
14 years 5 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
ESOP
2006
Springer
13 years 8 months ago
ILC: A Foundation for Automated Reasoning About Pointer Programs
This paper presents a new program logic designed for facilitating automated reasoning about pointer programs. The program logic is directly inspired by previous work by O'Hea...
Limin Jia, David Walker