On the completeness of first degree weakly aggregative modal logics

Journal of Philosophical Logic 26 (2):169-180 (1997)
This paper extends David Lewis' result that all first degree modal logics are complete to weakly aggregative modal logic by providing a filtration-theoretic version of the canonical model construction of Apostoli and Brown. The completeness and decidability of all first-degree weakly aggregative modal logics is obtained, with Lewis's result for Kripkean logics recovered in the case k = 1
Keywords Philosophy
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DOI 10.1023/A:1017940015180
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References found in this work BETA
P. K. Schotch & R. E. Jennings (1980). Inference and Necessity. Journal of Philosophical Logic 9 (3):327-340.
David Lewis (1974). Intensional Logics Without Interative Axioms. Journal of Philosophical Logic 3 (4):457-466.

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