Dynamic term-modal logics for first-order epistemic planning
Research output: Contribution to journal › Journal article › Research › peer-review
Many classical planning frameworks are built on first-order languages. The first-order expressive power is desirable for compactly representing actions via schemas, and for specifying quantified conditions such as ¬∃xblocks_door(x). In contrast, several recent epistemic planning frameworks are built on propositional epistemic logic. The epistemic language is useful to describe planning problems involving higher-order reasoning or epistemic goals such as Ka¬problem. This paper develops a first-order version of Dynamic Epistemic Logic (DEL). In this framework, for example, ∃xKx∃yblocks_door(y) is a formula. The formalism combines the strengths of DEL (higher-order reasoning) with those of first-order logic (lifted representation) to model multi-agent epistemic planning. The paper introduces an epistemic language with a possible-worlds semantics, followed by novel dynamics given by first-order action models and their execution via product updates. Taking advantage of the first-order machinery, epistemic action schemas are defined to provide compact, problem-independent domain descriptions, in the spirit of PDDL. Concerning metatheory, the paper defines axiomatic normal term-modal logics, shows a Canonical Model Theorem-like result which allows establishing completeness through frame characterization formulas, shows decidability for the finite agent case, and shows a general completeness result for the dynamic extension by reduction axioms.
Original language | English |
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Article number | 103305 |
Journal | Artificial Intelligence |
Volume | 286 |
ISSN | 0004-3702 |
DOIs | |
Publication status | Published - Sep 2020 |
Bibliographical note
Correction: https://doi.org/10.1016/j.artint.2023.103969
- Dynamic epistemic logic, Epistemic planning, Multi-agent systems, Planning formalisms, Term-modal logic
Research areas
Links
- https://arxiv.org/pdf/1906.06047.pdf
Submitted manuscript
ID: 255736665