Results 11 to 20 of about 810,546 (73)

Non-deterministic algebraization of logics by swap structures [PDF]

open access: yesLogic Journal of the IGPL, 2021
Multialgebras (or hyperalgebras or non-deterministic algebras) have been much studied in mathematics and in computer science. In 2016 Carnielli and Coniglio introduced a class of multialgebras called swap structures, as a semantic framework for dealing ...
Golzio, Ana Claudia   +2 more
core   +2 more sources

Bounded and multi-adjoint lattice algebraizable logics

open access: yesInternational Journal of Approximate Reasoning
M Eugenia Cornejo   +2 more
exaly   +3 more sources

Adding an implication to logics of perfect paradefinite algebras [PDF]

open access: yesMathematical Structures in Computer Science, 2023
Perfect paradefinite algebras are De Morgan algebras expanded with an operation that allows for the full behavior of classical negation to be restored. They form a variety that is term-equivalent to the variety of involutive Stone algebras.
Marcos, João   +3 more
core   +5 more sources

Logics of Formal Inconsistency Enriched with Replacement: An Algebraic and Modal Account [PDF]

open access: yesThe Review of Symbolic Logic, 2021
One of the most expected properties of a logical system is that it can be algebraizable, in the sense that an algebraic counterpart of the deductive machinery could be found.
FUENMAYOR PELAEZ, David   +4 more
core   +3 more sources

Cut elimination and strong separation for substructural logics: An algebraic approach [PDF]

open access: yesAnnals of Pure and Applied Logic, 2010
We develop a general algebraic and proof-theoretic study of substructural logics that may lack associativity, along with other structural rules. Our study extends existing work on (associative) substructural logics over the full Lambek Calculus FL.
Ono, Hiroakira, Galatos, Nikolaos
core   +2 more sources

On the Algebraizability of Annotated Logics

open access: yesStudia Logica, 1997
. Annotated logics were introduced by V. S. Subrahmanian as logical foundations for computer programming. One of the difficulties of these systems from the logical point of view is that they are not structural, i.e., their consequence relations are not ...
R. A. Lewin   +2 more
core   +2 more sources

Algebraization of logics defined by literal-paraconsistent or literal-paracomplete matrices

open access: yesMathematical Logic Quarterly, 2008
We study the algebraizability of the logics constructed using literal-paraconsistent and literal-paracomplete matrices described by Lewin and Mikenberg in [11], proving that they are all algebraizable in the sense of Blok and Pigozzi in [31 but not ...
Lewin, Renato A.   +3 more
exaly   +2 more sources

On Nilpotent Minimum logics defined by lattice filters and their paraconsistent non-falsity preserving companions.

open access: yesLogic Journal of the IGPL
Nilpotent Minimum logic (NML) is a substructural algebraizable logic that is a distinguished member of the family of systems of Mathematical Fuzzy logic, and at the same time it is the axiomatic extension with the prelinearity axiom of Nelson and Markov ...
Godo i Lacasa, Lluís   +3 more
core   +3 more sources

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