منابع مشابه
Relevant and substructural logics
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 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...
متن کاملProof 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 ...
متن کاملLabelled Sequent Calculi and Completeness Theorems for Implicational Relevant Logics
It is known that the implicational fragment of the relevant logic E is complete with respect to the class of Urquhart's models, where a model consists of a semilattice and a set of possible worlds. This paper shows that some implicational relevant logics, which are obtained from E by adding axioms, are complete with respect to the class of Urquhart's models with certain conditions. To show this...
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ژورنال
عنوان ژورنال: The Review of Symbolic Logic
سال: 2019
ISSN: 1755-0203,1755-0211
DOI: 10.1017/s1755020319000467