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A decidability result about sufficient-completeness of axiomatically specified abstract data types

  • Technische Universität Darmstadt

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

27 Scopus citations

Abstract

The problem of deciding whether an axiomatic specification of an abstract data type is sufficiently-complete is known to be in general unsolvable. Regarding axioms as directed rewrite rules instead of symmetric equations a specification defines a reduction relation on terms. It is proved that in the subclass of left-linear axiomatic specifications the property of sufficient-completeness is decidable, if the corresponding reduction relation is normalizing and confluent. The presented algorithm can also be used to determine a set of constructors for a specified data type.

Original languageEnglish
Title of host publicationTheoretical Computer Science - 6th Gl-Conference
EditorsArmin B. Cremers, Hans-Peter Kriegel
PublisherSpringer Verlag
Pages257-267
Number of pages11
ISBN (Print)9783540119739
DOIs
StatePublished - 1982
Externally publishedYes
Event6th GI-Conference on Theoretical Computer Science, 1983 - Dortmund, Germany
Duration: 5 Jan 19837 Jan 1983

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume145 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference6th GI-Conference on Theoretical Computer Science, 1983
Country/TerritoryGermany
CityDortmund
Period5/01/837/01/83

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