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Gröbner Basis Construction Algorithms Based on Theorem Proving Saturation Loops

Authors Grant Olney Passmore, Leonardo de Moura, Paul B. Jackson



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Author Details

Grant Olney Passmore
Leonardo de Moura
Paul B. Jackson

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Grant Olney Passmore, Leonardo de Moura, and Paul B. Jackson. Gröbner Basis Construction Algorithms Based on Theorem Proving Saturation Loops. In Decision Procedures in Software, Hardware and Bioware. Dagstuhl Seminar Proceedings, Volume 10161, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)
https://doi.org/10.4230/DagSemProc.10161.3

Abstract

We present novel Gr"obner basis algorithms based on saturation loops used by modern superposition theorem provers. We illustrate the practical value of the algorithms through an experimental implementation within the Z3 SMT solver.
Keywords
  • Groebner bases
  • ideal theory
  • automated theorem proving
  • SMT solvers

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