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MUNCH – automated reasoner for sets and multisets. (English) Zbl 1291.68367
Giesl, Jürgen (ed.) et al., Automated reasoning. 5th international joint conference, IJCAR 2010, Edinburgh, UK, July 16–19, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-14202-4/pbk). Lecture Notes in Computer Science 6173. Lecture Notes in Artificial Intelligence, 149-155 (2010).
Summary: This system description provides an overview of the MUNCH reasoner for sets and multisets. MUNCH takes as the input a formula in a logic that supports expressions about sets, multisets, and integers. Constraints over collections and integers are connected using the cardinality operator. Our logic is a fragment of logics of popular interactive theorem provers, and MUNCH is the first fully automated reasoner for this logic. MUNCH reduces input formulas to equisatisfiable linear integer arithmetic formulas. MUNCH reasoner is publicly available. It is implemented in the Scala programming language and currently uses the SMT solver Z3 to solve the generated integer linear arithmetic constraints.
For the entire collection see [Zbl 1195.68005].
MSC:
68T15 Theorem proving (deduction, resolution, etc.) (MSC2010)
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