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Expansion and Contraction of Finite States
Authors:Tamminga  Allard
Affiliation:(1) Vakgroep Theoretische Filosofie, Faculteit der Wijsbegeerte, Rijksuniversiteit Groningen, A-weg 30, 9718 CW Groningen, The Netherlands
Abstract:We present a theory that copes with the dynamics of inconsistent information. A method is set forth to represent possibly inconsistent information by a finite state. Next, finite operations for expansion and contraction of finite states are given. No extra-logical element — a choice function or an ordering over (sets of) sentences — is presupposed in the definition of contraction. Moreover, expansion and contraction are each other's duals. AGM-style characterizations of these operations follow.
Keywords:belief change  belief contraction  paraconsistent logic  first degree entailment
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