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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Superposition Modulo Linear Arithmetic SUP(LA)
verfasst von : Ernst Althaus, Evgeny Kruglov, Christoph Weidenbach
Erschienen in: Frontiers of Combining Systems
Verlag: Springer Berlin Heidelberg
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The hierarchical superposition based theorem proving calculus of Bachmair, Ganzinger, and Waldmann enables the hierarchic combination of a theory with full first-order logic. If a clause set of the combination enjoys a sufficient completeness criterion, the calculus is even complete. We instantiate the calculus for the theory of linear arithmetic. In particular, we develop new effective versions for the standard superposition redundancy criteria taking the linear arithmetic theory into account. The resulting calculus is implemented in SPASS(LA) and extends the state of the art in proving properties of first-order formulas over linear arithmetic.