Results 151 to 160 of about 481 (175)

A Useful Substructural Logic

Logic Journal of IGPL, 1994
Summary: Formal systems seem to come in two general kinds: useful and useless. This is painting things starkly, but the point is important. Formal structures can either be used in interesting and important ways, or they can languish unused and irrelevant. Lewis' modal logics are good examples.
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Substructural Logical Specifications

2012
A logical framework and its implementation should serve as a flexible tool for specifying, simulating, and reasoning about formal systems. When the formal systems we are interested in exhibit state and concurrency, however, existing logical frameworks fall short of this goal.
Frank Pfenning, Robert J. Simmons
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Substructural logics on display

Logic Journal of IGPL, 1998
Belnap-style display characterizations admitting cut-elimination are presented for numerous substructural logics including non-commutative intuitionistic linear logic and its relevant, intuitionistic and classical extensions.
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Substructural Logics with Mingle

Journal of Logic, Language and Information, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Skolemization for Substructural Logics

2015
The usual Skolemization procedure, which removes strong quantifiers by introducing new function symbols, is in general unsound for first-order substructural logics defined based on classes of complete residuated lattices. However, it is shown here following similar ideas of Baaz and Iemhoff for first-order intermediate logics ini¾?[1] that first-order ...
Cintula, P. (Petr)   +2 more
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Modal translations in substructural logics [PDF]

open access: possibleJournal of Philosophical Logic, 1992
The Gödel-Tarski translation of the intuitionistic predicate logic into S4 by prefixing \(\square\) to all subformulas is sound and faithful. The author proves a similar result for translations of the intuitionistic versions of linear logic, relevance logic and BCK-logic into their classical S4-analogs.
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Algebraic Perspectives on Substructural Logics

2021
This volume presents the state of the art in the algebraic investigation into substructural logics. It features papers from the workshop AsubL (Algebra & Substructural Logics - Take 6). Held at the University of Cagliari, Italy, this event is part of the framework of the Horizon 2020 Project SYSMICS: SYntax meets Semantics: Methods, Interactions ...
Davide Fazio   +2 more
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Tableau Methods for Substructural Logics

1999
Over the last few decades a good deal of research in logic has been prompted by the realization that logical systems can be successfully employed to formalize and solve a variety of computational problems. Traditionally, the theoretical framework for most applications was assumed to be classical logic. However, this assumption often turned out to clash
D'AGOSTINO, Marcello   +2 more
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Metacompleteness of Substructural Logics

Studia Logica, 2012
Metacompleteness is used to prove properties such as the disjunction property and the existence property in the area of relevant logics. On the other hand, the disjunction property of several basic propositional substructural logics over FL has been proved using the cut elimination theorem of sequent calculi and algebraic characterization.
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