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Clausal Presentation of Theories in Deduction Modulo
Gao J.
PSATTT'11: International Workshop on Proof-Search in Axiomatic Theories and Type Theories, Wroclaw : Poland (2011) - http://hal.inria.fr/inria-00614251
Peer-reviewed conferences/proceedings
Computer Science/Logic in Computer Science
Clausal Presentation of Theories in Deduction Modulo
Jianhua Gao 1, 2
1:  TYPICAL (INRIA Saclay - Ile de France)
INRIA – CNRS : UMR – Polytechnique - X
LIX Ecole Polytechnique 91129 Palaiseau Cedex
France
2:  State Key Laboratory of Computer Science (LCS)
http://lcs.ios.ac.cn/english%20page/index.htm
Chinese Academy of Science (CAS)
Institute of Software, Chinese Academy of Sciences 4# South Fourth Street, Zhong Guan Cun, Beijing 100190
China
Resolution modulo is an extension of first-order resolution where axioms are replaced by rewrite rules, used to rewrite, or more generally narrow, clauses during the search. In the first version of this method, clauses were rewritten to arbitrary propositions, that needed to be dynamically transformed into clauses. This unpleasant feature can be eliminated when the rewrite system is clausal, i.e. when it transforms clauses to clauses. We show in this paper that how to transform any rewrite system into a clausal one, preserving the existence of cut free proof of any sequent.
English

2011
international
PSATTT'11: International Workshop on Proof-Search in Axiomatic Theories and Type Theories
Wroclaw
Poland
2011-08-01
Germain Faure, Stéphane Lengrand, Assia Mahboubi

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