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Modeling Deontic Modal Logic in the s(CASP) Goal-directed Predicate Answer Set Programming System

Published: July 7, 2025 | arXiv ID: 2507.05519v3

By: Gopal Gupta , Abhiramon Rajasekharan , Alexis R. Tudor and more

Potential Business Impact:

Solves logic puzzles about rules and what's allowed.

Business Areas:
Natural Language Processing Artificial Intelligence, Data and Analytics, Software

We consider the problem of implementing deontic modal logic. We show how (deontic) modal operators can be expressed elegantly using default negation (negation-as-failure) and strong negation present in answer set programming (ASP). We propose using global constraints of ASP to represent obligations and impermissibilities of deontic modal logic. We show that our proposed representation results in the various paradoxes of deontic modal logic being elegantly resolved.

Page Count
21 pages

Category
Computer Science:
Artificial Intelligence