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Flexible coinductive logic programming

Published online by Cambridge University Press:  22 September 2020

FRANCESCO DAGNINO ,
DAVIDE ANCONA Open the ORCID record for DAVIDE ANCONA [Opens in a new window]  and
ELENA ZUCCA
FRANCESCO DAGNINO
Affiliation:
DIBRIS, University of Genova (e-mail: francesco.dagnino@dibris.unige.it, davide.ancona@unige.it, elena.zuccag@unige.it)
DAVIDE ANCONA
Affiliation:
DIBRIS, University of Genova (e-mail: francesco.dagnino@dibris.unige.it, davide.ancona@unige.it, elena.zuccag@unige.it)
ELENA ZUCCA
Affiliation:
DIBRIS, University of Genova (e-mail: francesco.dagnino@dibris.unige.it, davide.ancona@unige.it, elena.zuccag@unige.it)
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Abstract

Recursive definitions of predicates are usually interpreted either inductively or coinductively. Recently, a more powerful approach has been proposed, called flexible coinduction, to express a variety of intermediate interpretations, necessary in some cases to get the correct meaning. We provide a detailed formal account of an extension of logic programming supporting flexible coinduction. Syntactically, programs are enriched by coclauses, clauses with a special meaning used to tune the interpretation of predicates. As usual, the declarative semantics can be expressed as a fixed point which, however, is not necessarily the least, nor the greatest one, but is determined by the coclauses. Correspondingly, the operational semantics is a combination of standard SLD resolution and coSLD resolution. We prove that the operational semantics is sound and complete with respect to declarative semantics restricted to finite comodels.

Keywords

coinductionoperational semanticsdeclarative semanticssoundnesscompleteness

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Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 20 , Issue 6: 36th International Conference on Logic Programming Special Issue II , November 2020 , pp. 818 - 833
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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