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Tabling, Rational Terms, and Coinduction Finally Together!

Published online by Cambridge University Press:  21 July 2014

THEOFRASTOS MANTADELIS ,
RICARDO ROCHA  and
PAULO MOURA
THEOFRASTOS MANTADELIS
Affiliation:
CRACS & INESC TEC, Faculty of Sciences, University of Porto, Rua do Campo Alegre, 1021/1055, 4169-007 Porto, Portugal (e-mail: theo.mantadelis@dcc.fc.up.pt, ricroc@dcc.fc.up.pt, pmoura@inescporto.pt)
RICARDO ROCHA
Affiliation:
CRACS & INESC TEC, Faculty of Sciences, University of Porto, Rua do Campo Alegre, 1021/1055, 4169-007 Porto, Portugal (e-mail: theo.mantadelis@dcc.fc.up.pt, ricroc@dcc.fc.up.pt, pmoura@inescporto.pt)
PAULO MOURA
Affiliation:
CRACS & INESC TEC, Faculty of Sciences, University of Porto, Rua do Campo Alegre, 1021/1055, 4169-007 Porto, Portugal (e-mail: theo.mantadelis@dcc.fc.up.pt, ricroc@dcc.fc.up.pt, pmoura@inescporto.pt)
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Abstract

Tabling is a commonly used technique in logic programming for avoiding cyclic behavior of logic programs and enabling more declarative program definitions. Furthermore, tabling often improves computational performance. Rational term are terms with one or more infinite sub-terms but with a finite representation. Rational terms can be generated in Prolog by omitting the occurs check when unifying two terms. Applications of rational terms include definite clause grammars, constraint handling systems, and coinduction. In this paper, we report our extension of YAP's Prolog tabling mechanism to support rational terms. We describe the internal representation of rational terms within the table space and prove its correctness. We then use this extension to implement a tabling based approach to coinduction. We compare our approach with current coinductive transformations and describe the implementation. In addition, we present an algorithm that ensures a canonical representation for rational terms.

Keywords

TablingRational TermsCoinductionImplementation
Type
Regular Papers
Information
Theory and Practice of Logic Programming , Volume 14 , Special Issue 4-5: 30th International Conference on Logic Programming , July 2014 , pp. 429 - 443
Copyright
Copyright © Cambridge University Press 2014 

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Tabling, Rational Terms, and Coinduction Finally Together!

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