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  Cooperation of background reasoners in theory reasoning by residue sharing (2003) [10 citations — 1 self]

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by Cesare Tinelli
Journal of Automated Reasoning
http://cs.uiowa.edu/combination/papers/Tin-FTP-00.ps.gz
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Abstract:

Abstract. We propose a general way of combining background reasoners in theory reasoning. Using a restricted version of the Craig Interpolation Lemma, we show that background reasoner cooperation can be achieved as a form of constraint propagation, much in the spirit of existing combination methods for decision procedures. In this case, constraint information is propagated across reasoners by exchanging residues over a common signature. As an application of our approach, we describe a multi-theory version of the semantic tableau calculus. 1

Citations

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4 Incremental theory reasoning methods for semantic tableaux – Pape - 1996
3 Using decision procedures to accelerate domain-specific deductive synthesis systems – Baalen, Roach - 1999
3 Linear and Unit-Resulting Refutations for Horn Theories – Baumgartner - 1996
1 Connection calculus theorem proving with multiple built-in theories – Petermann - 2000