System of Spheres-based Multiple Contractions
Journal of Philosophical Logic 41 (1):29-52 (2012)
| Abstract | We propose a new class of multiple contraction operations — the system of spheres-based multiple contractions — which are a generalization of Grove’s system of spheres-based (singleton) contractions to the case of contractions by (possibly non-singleton) sets of sentences. Furthermore, we show that this new class of functions is a subclass of the class of the partial meet multiple contractions. | |||||||||
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Maurício D. L. Reis & Eduardo Fermé (2012). Possible Worlds Semantics for Partial Meet Multiple Contraction. Journal of Philosophical Logic 41 (1):7-28.
Eduardo Fermé, Karina Saez & Pablo Sanz (2003). Multiple Kernel Contraction. Studia Logica 73 (2):183 - 195.
André Fuhrmann & Sven Ove Hansson (1994). A Survey of Multiple Contractions. Journal of Logic, Language and Information 3 (1):39-75.
Alexander Bochman (2000). Belief Contraction as Nonmonotonic Inference. Journal of Symbolic Logic 65 (2):605-626.
Sven Ove Hansson (1994). Kernel Contraction. Journal of Symbolic Logic 59 (3):845-859.
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Neil Tennant (2006). New Foundations for a Relational Theory of Theory-Revision. Journal of Philosophical Logic 35 (5):489 - 528.
Sven Ove Hansson (2012). Global and Iterated Contraction and Revision: An Exploration of Uniform and Semi-Uniform Approaches. Journal of Philosophical Logic 41 (1):143-172.
D. J. Shoesmith (1978). Multiple-Conclusion Logic. Cambridge University Press.
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