Displaying and deciding substructural logics 1: Logics with contraposition

Journal of Philosophical Logic 27 (2):179-216 (1998)
Many logics in the relevant family can be given a proof theory in the style of Belnap's display logic (Belnap, 1982). However, as originally given, the proof theory is essentially more expressive than the logics they seek to model. In this paper, we consider a modified proof theory which more closely models relevant logics. In addition, we use this proof theory to show decidability for a large range of substructural logics
Keywords Philosophy
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DOI 10.1023/A:1017998605966
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Nuel D. Belnap (1982). Gupta's Rule of Revision Theory of Truth. Journal of Philosophical Logic 11 (1):103-116.

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