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Possible Worlds Semantics for Partial Meet Multiple Contraction
Authors:Maurício D. L. Reis  Eduardo Fermé
Affiliation:1. Centro de Ci??ncias Exactas e da Engenharia and Madeira Interactive Technologies Institute, Universidade da Madeira, Campus Universit??rio da Penteada, 9020-105, Funchal, Portugal
2. Madeira Interactive Technologies Institute, Universidade da Madeira, Funchal, Portugal
Abstract:In the logic of theory change, the standard model is AGM, proposed by Alchourrón et al. (J Symb Log 50:510–530, 1985). This paper focuses on the extension of AGM that accounts for contractions of a theory by a set of sentences instead of only by a single sentence. Hansson (Theoria 55:114–132, 1989), Fuhrmann and Hansson (J Logic Lang Inf 3:39–74, 1994) generalized Partial Meet Contraction to the case of contractions by (possibly non-singleton) sets of sentences. In this paper we present the possible worlds semantics for partial meet multiple contractions.
Keywords:
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