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Researchers refine Gelfond rationality principle for answer set semantics

Researchers have refined the Gelfond Rationality Principle to develop more comprehensive foundational principles for answer set semantics in non-monotonic logic programming. The study questions the mandatory nature of minimal model property, constraint monotonicity, and foundedness, suggesting they may be too restrictive. New principles of well-supportedness, minimality with respect to negation by default, and minimality with respect to epistemic negation are proposed to ensure answer sets are constructible and minimize knowledge. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Proposes new theoretical foundations for answer set semantics, potentially impacting declarative problem-solving paradigms.

RANK_REASON This is a research paper published on arXiv detailing theoretical advancements in answer set semantics. [lever_c_demoted from research: ic=1 ai=1.0]

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COVERAGE [1]

  1. arXiv cs.AI TIER_1 · Yi-Dong Shen, Thomas Eiter ·

    Refining Gelfond Rationality Principle: Towards More Comprehensive Foundational Principles for Answer Set Semantics

    arXiv:2507.01833v2 Announce Type: replace Abstract: Non-monotonic logic programming is the basis for a declarative problem solving paradigm known as answer set programming (ASP). Departing from the seminal definition by Gelfond and Lifschitz in 1988 for simple normal logic progra…