KBO Constraint Solving Revisited-Reference-Cited by-同舟云学术

KBO Constraint Solving Revisited

Published:2023 Issue: Volume: Page:81-98
ISSN:0302-9743
Container-title:Frontiers of Combining Systems
language:
Short-container-title:

Author:

Briefs Yasmine^ORCID,Leidinger Hendrik^ORCID,Weidenbach Christoph^ORCID

Abstract

AbstractKBO constraint solving is very well-known to be an NP-complete problem. Motivated by the needs of the family of SCL calculi, we consider the particular case where all terms occurring in a constraint are bound by a (single) ground term. We show that this problem and variants of this problem remain NP-complete even if the form of atoms in the constraint is further restricted. In addition, for a non-strict, partial term ordering solely based on symbol counting constraint solving remains NP-complete. Nevertheless, we provide a new simple algorithm testing KBO constraint solvability that performs well on benchmark examples.

Publisher

Springer Nature Switzerland

Link

https://link.springer.com/content/pdf/10.1007/978-3-031-43369-6_5

Reference17 articles.

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