منابع مشابه
Proof Theoretical Studies on Semilattice Relevant Logics
The semilattice relevant logics ∪R, ∪T, ∪RW, and ∪TW (slightly different from the orthodox relevant logics R, T, RW, and TW) are defined by “semilattice models” in which conjunction and disjunction are interpreted in a natural way. In this paper, we prove the equivalence between “LK-style” and “LJ-style” labelled sequent calculi for these logics. (LKstyle sequents have plural succedents, while ...
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This is a history of relevant and substructural logics, written for the Handbook of the History and Philosophy of Logic, edited by Dov Gabbay and John Woods.
متن کاملInformation Flow and Relevant Logics
2 Routley-Meyer Frames Relevant logics are interesting things. One motivating principle for these logics is the requirement that if a conditional of the form ! is to be true, there must be a connection between and . The antecedent must somehow be relevant to the consequent . This is simple to chart prooftheoretically, and for years, this was how relevant logics were studied. (A great deal of th...
متن کاملState/event based versus purely Action or State based Logics
Although less studied than purely action or state based logics, state/event based logics are becoming increasingly important. Some systems are best studied using structures with information on both states and transitions, and it is these structures over which state/event based logics are defined. The logic UCTL and its variants are perhaps the most widely studied and implemented of these logics...
متن کاملSemantic Decision Procedures for Some Relevant Logics
This paper proves decidability of a range of weak relevant logics using decision procedures based on the Routley-Meyer semantics. Logics are categorized as -logics, for those proved decidable using a filtration method, and -logics, for those proved decidable using a direct (unfiltered) method. Both of these methods are set out as reductio methods, in the style of Hughes and Cresswell. We also...
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ژورنال
عنوان ژورنال: Notre Dame Journal of Formal Logic
سال: 1986
ISSN: 0029-4527
DOI: 10.1305/ndjfl/1093636610