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A New Logic of Beliefs: Monotonic and Non-Monotonic Beliefs - Part 1

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Proceedings of the Twelfth International Joint Conference on Artificial Intelligence. Knowledge Representation. Pages 486-490.

Abstract

We present here a new formalization of beliefs, which has a simpler semantics than the previous formalizations, and develop an inference method for it by generalizing the resolution method. The usual propositional formulas are embedded in our logic as a special type of belief formulas. One can obtain a non-monotonic logic of beliefs by applying, say, circumscription to the basic belieflogic developed here which is monotonic in nature. One can also apply the technique repeatedly to construct a hierarchy of belief-logics BLko k ~ 1, where BLk ::::> BLk_ 1 and BLk can handle formulas involving up to level k nested applications of the belief operator B.

Sukhamay Kundu. 1991. A New Logic of Beliefs: Monotonic and Non-Monotonic Beliefs - Part 1. In Proceedings of the Twelfth International Joint Conference on Artificial Intelligence, IJCAI-91. IJCAI, 486–490. https://ijcai.org/proceedings/1991/73
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