Anti-unification in Constraint Logic Programming

Anti-unification refers to the process of generalizing two (or more) goals into a single, more general, goal that captures some of the structure that is common to all initial goals. In general one is typically interested in computing what is often called a most specific generalization, that is a gen...

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Bibliographic Details
Published in:Theory and practice of logic programming Vol. 19; no. 5-6; pp. 773 - 789
Main Authors: YERNAUX, GONZAGUE, VANHOOF, WIM
Format: Journal Article
Language:English
Published: Cambridge, UK Cambridge University Press 01.09.2019
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ISSN:1471-0684, 1475-3081
Online Access:Get full text
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Summary:Anti-unification refers to the process of generalizing two (or more) goals into a single, more general, goal that captures some of the structure that is common to all initial goals. In general one is typically interested in computing what is often called a most specific generalization, that is a generalization that captures a maximal amount of shared structure. In this work we address the problem of anti-unification in CLP, where goals can be seen as unordered sets of atoms and/or constraints. We show that while the concept of a most specific generalization can easily be defined in this context, computing it becomes an NP-complete problem. We subsequently introduce a generalization algorithm that computes a well-defined abstraction whose computation can be bound to a polynomial execution time. Initial experiments show that even a naive implementation of our algorithm produces acceptable generalizations in an efficient way.
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ISSN:1471-0684
1475-3081
DOI:10.1017/S1471068419000188