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.
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Maurício D. L. Reis was supported by Fundação para a Ciência e a Tecnologia (FCT) through the grant SFRH/BD/30175/2006 financed by national funds from Ministério da Ciência, Tecnologia e Ensino Superior (MCTES) from Portugal.
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Reis, M.D.L., Fermé, E. Possible Worlds Semantics for Partial Meet Multiple Contraction. J Philos Logic 41, 7–28 (2012). https://doi.org/10.1007/s10992-011-9198-y
- Belief change
- Theory contraction
- Multiple contraction
- Possible worlds semantics