arXiv:2605.27338v1 Announce Type: cross Abstract: ASP(Q) extends Answer Set Programming (ASP) with Quantifiers over answer sets. In this paper we focus on the class of ASP(Q) programs with two quantifiers and weak constraints, denoted as 2-ASP(Q)^w. 2-ASP(Q)^w is a practically relevant fragment of ASP(Q) that is expressive enough to capture optimization problems up to the class Delta_3^P. On the theoretical side, we provide a complete complexity characterization of the main computational tasks for 2-ASP(Q)^w programs, including tight completeness results and the analysis of nontrivial cases th
The paper was published on May 27, 2026, marking a specific advancement in the theoretical understanding and practical implementation of complex ASP(Q) programs.
Advanced theoretical work in AI, especially in areas like Answer Set Programming with quantifiers and weak constraints, is crucial for developing more sophisticated and efficient autonomous systems and AI agents capable of handling complex optimization problems.
This research provides a more complete understanding of the computational complexity and efficiency of a specific class of ASP(Q) programs, potentially leading to more robust and powerful AI applications in the future.
- · AI researchers
- · Developers of AI agents
- · Sectors requiring complex optimization
- · Computer science academics
Improved understanding and tools for developers working with declarative programming for AI.
Enables the creation of more sophisticated and efficient AI agents capable of solving harder optimization problems.
Potentially accelerates the development of general-purpose AI and autonomous systems across various industries.
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