Experience with Heuristics, Benchmarks & Standards for Cylindrical Algebraic Decomposition

Matthew England, James H. Davenport

Research output: Chapter in Book/Report/Conference proceedingConference proceeding

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Abstract

In the paper which inspired the SC2 project, [E. A´ bra´ham, Building Bridges between Symbolic Computation and Satisfiability Checking, Proc. ISSAC ’15, pp. 1–6, ACM, 2015] the author identified the use of sophisticated heuristics as a technique that the Satisfiability Checking community excels in and from which it is likely the Symbolic Computation community could learn and prosper. To start this learning process we summarise our experience with heuristic development for the computer algebra algorithm Cylindrical Algebraic Decomposition. We also propose and discuss standards and benchmarks as another area where Symbolic Computation could prosper from Satisfiability Checking expertise, noting that these have been identified as initial actions for the new SC2 community in the CSA project, as described in [E. A´ bra´ham et al., SC2: Satisfiability Checking meets Symbolic Computation (Project Paper), Intelligent Computer Mathematics (LNCS 9761), pp. 28–43, Springer, 2015].
Original languageEnglish
Title of host publicationSC-Square 2016 Satisfiability Checking and Symbolic Computation
Subtitle of host publicationProceedings of the 1st Workshop on Satisfiability Checking and Symbolic Computation
EditorsErika Ábrahám, James H. Davenport, Pascal Fontaine
PublisherCEUR
Pages24-31
Number of pages8
Publication statusPublished - 2 Mar 2017
Event1st Workshop on Satisfiability Checking and Symbolic Computation - Timisoara, Romania
Duration: 24 Sep 201624 Sep 2016

Publication series

NameCEUR Workshop Proceedings
Volume1804
ISSN (Print)1613-0073

Workshop

Workshop1st Workshop on Satisfiability Checking and Symbolic Computation
CountryRomania
CityTimisoara
Period24/09/1624/09/16

Bibliographical note

Copyright (c) by the paper’s authors. Copying permitted for private and academic purposes.

Funded by EU Horizon 2020 FETOPEN-2016-2017-CSA project SC^2 (712689)

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    England, M., & Davenport, J. H. (2017). Experience with Heuristics, Benchmarks & Standards for Cylindrical Algebraic Decomposition. In E. Ábrahám, J. H. Davenport, & P. Fontaine (Eds.), SC-Square 2016 Satisfiability Checking and Symbolic Computation: Proceedings of the 1st Workshop on Satisfiability Checking and Symbolic Computation (pp. 24-31). (CEUR Workshop Proceedings; Vol. 1804). CEUR.