PulseAugur
EN
LIVE 05:03:43

New research advances epistemic logic for belief and distributed knowledge

Two new research papers explore advancements in epistemic logic, a field concerned with reasoning about knowledge and belief. The first paper introduces a novel mechanism for belief contraction within standard Kripke models, addressing limitations of existing approaches that require enriched models. The second paper focuses on sequent calculi for epistemic logics with distributed knowledge, establishing an analytic cut property that ensures Craig's interpolation theorem holds for these systems. AI

IMPACT These theoretical advancements in epistemic logic could inform future AI systems designed for reasoning and decision-making under uncertainty.

RANK_REASON Two academic papers published on arXiv detailing theoretical advancements in logic.

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 3 sources. How we write summaries →

New research advances epistemic logic for belief and distributed knowledge

COVERAGE [3]

  1. arXiv cs.AI TIER_1 English(EN) · Gaia Belardinelli (Stanford University), Snow Zhang (University of Berkeley, California) ·

    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. Its standard formulation (Baltag, Moss, Solecki, 1998) provides a natural account of belief expansion through the elimination …

  2. arXiv cs.MA (Multiagent) TIER_1 English(EN) · Katsuhiko Sano ·

    Analytic Cut in Epistemic Logics with Distributed Knowledge

    Distributed knowledge is a notion of group knowledge studied in multi-agent epistemic logic. Semantically, the distributed knowledge of a group is interpreted via an accessibility relation given by the intersection of the epistemic accessibility relations of the agents in that gr…

  3. arXiv cs.AI TIER_1 English(EN) · Snow Zhang ·

    Belief Contraction in Dynamic Epistemic Logic

    Dynamic epistemic logic represents belief change via model transformations induced by epistemic events. Its standard formulation (Baltag, Moss, Solecki, 1998) provides a natural account of belief expansion through the elimination of possibilities, but it cannot model belief contr…