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Finite Models of Some Substructural Logics
MLQ, 2002Summary: We give a proof of the finite model property (fmp) of some fragments of commutative and noncommutative linear logic: the Lambek calculus, BCI, BCK and their enrichments, MALL and Cyclic MALL. We essentially simplify our method used in Stud. Log.
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Epistemic Models, Logical Monotony and Substructural Logics
2006Since the seminal work of [Hin62], classical epistemic logic (CEL) and its applications are undermined by the so-called problem of logical omniscience (PLO). Indeed, this problem is only one instance of logical monotony, a strong idealization that is common to most of actual epistemic models. The purpose of this paper is, following [Dub91] and [Dub02],
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