Semantical considerations on nonmonotonic logic
Artificial Intelligence
All I know: a study in autoepistemic logic
Artificial Intelligence
A model-theoretic analysis of knowledge
Journal of the ACM (JACM)
A guide to completeness and complexity for modal logics of knowledge and belief
Artificial Intelligence
A practical nonmonotonic theory for reasoning about speech acts
ACL '88 Proceedings of the 26th annual meeting on Association for Computational Linguistics
Reasoning about only knowing with many agents
AAAI'93 Proceedings of the eleventh national conference on Artificial intelligence
A General Approach to Multi-agent Minimal Knowledge
JELIA '00 Proceedings of the European Workshop on Logics in Artificial Intelligence
A Logical Framework for Knowledge Sharing in Multi-agent Systems
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
Reasoning about only knowing with many agents
AAAI'93 Proceedings of the eleventh national conference on Artificial intelligence
AAAI'93 Proceedings of the eleventh national conference on Artificial intelligence
Artificial Intelligence
Logical spaces in multi-agent only knowing systems
CLIMA'05 Proceedings of the 6th international conference on Computational Logic in Multi-Agent Systems
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With few exceptions the study of nonmonotonic reasoning has been confined to the single-agent case. However, it has been recognized that intelligent agents often need to reason about other agents and their ability to reason nonmonotonically. In this paper we present a formalization of multi-agent autoepistemic reasoning, which naturally extends earlier work by Levesque. In particular, we propose an n-agent modal belief logic, which allows us to express that a formula (or finite set of them) is all an agent knows, which may include beliefs about what other agents believe. The paper presents a formal semantics of the logic in the possible-world framework. We provide an axiomatization, which is complete for a large fragment of the logic and sufficient to characterize interesting forms of multi-agent autoepistemic reasoning. We also extend the stable set and stable expansion ideas of single-agent autoepistemic logic to the multi-agent case.