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Abstraction-Based Relevancy Testing for Model Elimination

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Automated Deduction — CADE-16 (CADE 1999)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1632))

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Abstract

In application areas like formal software verification or in connection with lemma use, the success of automated theorem provers strongly depends on their ability to choose from a huge number of given axioms only some relevant ones. We present a new technique for deleting irrelevant clauses for model elimination proof procedures which is based on the use of abstractions. We analyze general conditions under which abstractions are well-suited for choosing useful clauses and investigate whether certain abstractions are applicable. So-called symbol abstractions are further examined in a case study which, e.g., introduces new techniques for the automatic generation of abstractions. We evaluate our techniques by means of experiments performed with the prover Setheo.

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© 1999 Springer-Verlag Berlin Heidelberg

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Fuchs, M., Fuchs, D. (1999). Abstraction-Based Relevancy Testing for Model Elimination. In: Automated Deduction — CADE-16. CADE 1999. Lecture Notes in Computer Science(), vol 1632. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48660-7_31

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  • DOI: https://doi.org/10.1007/3-540-48660-7_31

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  • Print ISBN: 978-3-540-66222-8

  • Online ISBN: 978-3-540-48660-2

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