Abstract
Levesque introduced the notion of only-knowing to precisely capture the beliefs of a knowledge base. He also showed how only-knowing can be used to formalize non-monotonic reasoning within a monotonic logic. Despite its appeal, all attempts to extend only-knowing to the many-agent case have undesirable properties. A belief model by Halpern and Lakemeyer, for instance, appeals to proof-theoretic constructs in the semantics and needs to axiomatize validity as part of the logic. It is also not clear how to generalize their ideas to the first-order case. In this talk, I present a new account of multi-agent only-knowing which, for the first time, has a natural possible-world semantics for a quantified language with equality. An axiom system for the propositional fragment will also be discussed.
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© 2012 Springer-Verlag Berlin Heidelberg
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Lakemeyer, G. (2012). Multi-agent Only-Knowing. In: Fisher, M., van der Torre, L., Dastani, M., Governatori, G. (eds) Computational Logic in Multi-Agent Systems. CLIMA 2012. Lecture Notes in Computer Science(), vol 7486. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32897-8_2
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DOI: https://doi.org/10.1007/978-3-642-32897-8_2
Publisher Name: Springer, Berlin, Heidelberg
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