DOI: 10.1007/978-3-540-73595-3_36
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Hyper Tableaux with Equality

Abstract: Abstract. In most theorem proving applications, a proper treatment of equational theories or equality is mandatory. In this paper we show how to integrate a modern treatment of equality in the hyper tableau calculus. It is based on splitting of positive clauses and an adapted version of the superposition inference rule, where equations used for paramodulation are drawn (only) from a set of positive unit clauses, the candidate model. The calculus also features a generic, semantically justified simplification ru… Show more

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Cited by 26 publications
(16 citation statements)
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“…EKRHyper is sound and complete for first-order logic with equality. It is an implementation of the E-hyper tableau calculus [BFP07]. E-KRHyper has been described in more detail in [PW07].…”
Section: Data Aggregationmentioning
confidence: 99%
“…EKRHyper is sound and complete for first-order logic with equality. It is an implementation of the E-hyper tableau calculus [BFP07]. E-KRHyper has been described in more detail in [PW07].…”
Section: Data Aggregationmentioning
confidence: 99%
“…It is an implementation of the E-hyper tableau calculus [14], which integrates a superposition-based handling of equality into the hyper tableau calculus [15]. E-KRHyper is the latest version in the KRHyperseries of theorem provers, developed at the University Koblenz-Landau.…”
Section: Description Of the E-krhyper Provermentioning
confidence: 99%
“…The puzzle is translated with the help of a logic grammar into TPTP notation [7] and then into the input format of E-KRHyper [1]. E-KRHyper is a model generator for first-order logic with equality and uses clauses of the form:…”
Section: Solving the Puzzlementioning
confidence: 99%