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FOLASP: FO(·) as Input Language for Answer Set Solvers

Published online by Cambridge University Press:  19 November 2021

KYLIAN VAN DESSELOpen the ORCID record for KYLIAN VAN DESSEL[Opens in a new window],
JO DEVRIENDT and
JOOST VENNEKENS
KYLIAN VAN DESSEL
Affiliation:
KU Leuven, Dept. of Computer Science, De Nayer Campus, Sint-Katelijne-Waver, Belgium Leuven.AI – KU Leuven Institute for AI, Leuven, Belgium (e-mails: kylian.vandessel@kuleuven.be, jo.devriendt@kuleuven.be, joost.vennekens@kuleuven.be)
JO DEVRIENDT
Affiliation:
KU Leuven, Dept. of Computer Science, De Nayer Campus, Sint-Katelijne-Waver, Belgium Leuven.AI – KU Leuven Institute for AI, Leuven, Belgium (e-mails: kylian.vandessel@kuleuven.be, jo.devriendt@kuleuven.be, joost.vennekens@kuleuven.be)
JOOST VENNEKENS
Affiliation:
KU Leuven, Dept. of Computer Science, De Nayer Campus, Sint-Katelijne-Waver, Belgium Leuven.AI – KU Leuven Institute for AI, Leuven, Belgium (e-mails: kylian.vandessel@kuleuven.be, jo.devriendt@kuleuven.be, joost.vennekens@kuleuven.be)
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Abstract

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Technological progress in Answer Set Programming (ASP) has been stimulated by the use of common standards, such as the ASP-Core-2 language. While ASP has its roots in nonmonotonic reasoning, efforts have also been made to reconcile ASP with classical first-order (FO) logic. This has resulted in the development of FO(·), an expressive extension of FO, which allows ASP-like problem solving in a purely classical setting. This language may be more accessible to domain experts already familiar with FO and may be easier to combine with other formalisms that are based on classical logic. It is supported by the IDP inference system, which has successfully competed in a number of ASP competitions. Here, however, technological progress has been hampered by the limited number of systems that are available for FO(·). In this paper, we aim to address this gap by means of a translation tool that transforms an FO(·) specification into ASP-Core-2, thereby allowing ASP-Core-2 solvers to be used as solvers for FO(·) as well. We present experimental results to show that the resulting combination of our translation with an off-the-shelf ASP solver is competitive with the IDP system as a way of solving problems formulated in FO(·).

Keywords

declarative programmingfirst order logicanswer set programming

Information

Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 21 , Special Issue 6: 37th International Conference on Logic Programming Special Issue II , November 2021, pp. 785 - 801
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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