Solving Quantitative Equations

Research output: Working paper and reportsPreprint

Abstract

Quantitative equational reasoning provides a framework that extends equality to an abstract notion of proximity by endowing equations with an element of a quantale. In this paper, we discuss the unification problem for a special class of shallow subterm-collapse-free quantitative equational theories. We outline rule-based algorithms for solving such equational unification problems over generic as well as idempotent Lawvereian quantales and study their properties.
Original languageEnglish
Place of PublicationHagenberg, Linz
PublisherRISC, JKU
Number of pages23
Publication statusPublished - Apr 2024

Publication series

NameRISC Report Series, Johannes Kepler University Linz, Austria
No.24-03
ISSN (Print)2791-4267

Fields of science

  • 101 Mathematics
  • 101001 Algebra
  • 101005 Computer algebra
  • 101009 Geometry
  • 101012 Combinatorics
  • 101013 Mathematical logic
  • 101020 Technical mathematics

JKU Focus areas

  • Digital Transformation

Cite this