arXiv AI

An Abstract Worlds Semantic Framework for Belief Change Operators

arXiv:2606. 02163v1 Announce Type: new Abstract: This article proposes a set-theoretic framework for belief change, called Abstract Worlds Semantics, in which no logical syntax is assumed.

arXiv AI
Jul 1

Belief Contraction in Dynamic Epistemic Logic

arXiv:2606. 31861v1 Announce Type: cross Abstract: Dynamic epistemic logic represents belief change via model transformations induced by epistemic events.

By Gaia Belardinelli (Stanford University), Snow Zhang (University of Berkeley, California)
arXiv AI
Jul 24

Explainable Belief Harmonization under Dynamic Epistemic Partitions

arXiv:2607. 21210v1 Announce Type: cross Abstract: Existing approaches to multi-agent belief combination have established mature foundations for combining uncertain beliefs under common assumptions: consensus methods use iterative averaging, logic-based methods resolve conflicting knowledge bases, and epistemic logic analyzes agents' information states.

By Adam Kostka (Warsaw University of Technology), Jaros{\l}aw A. Chudziak (Warsaw University of Technology)
arXiv AI
Jun 9

Standpoint Logics with Defeasible Beliefs

arXiv:2606. 08503v1 Announce Type: new Abstract: In this paper, we integrate the defeasible logic of Kraus, Lehmann and Magidor (KLM) with the standpoint logic framework of G\'omez \'Alvarez and Rudolph.

By Nicholas Leisegang, Thomas Meyer, Sebastian Rudolph
Hugging Face Trending Papers
Jun 2

ZX-Calculus:Trace-Indexed Dependent Types and Epistemic Semantics

We propose ZX-Calculus (Knowledge Evolution Calculus), a conservative extension of Martin-Lof Dependent Type Theory (MLTT) integrating trace-indexed types, presheaf non-monotone semantics, and constructive AGM belief revision. A Coq mechanisation accompanies the paper (34 complete proofs; zero admits for the two central results).

arXiv AI
Jul 24

Towards a Certifying Grounder

arXiv:2607. 21199v1 Announce Type: cross Abstract: Grounding, the translation of high-level theories into equivalent quantifier-free formulas, is a crucial step in declarative solving, yet it has so far escaped the proof-logging revolution.

By Daimy Van Caudenberg, Alexander Ek, Carlos Cantero, Bart Bogaerts