Results 31 to 40 of about 25,501 (266)

Determination of 3-Ary -Resolution in Lattice-valued Propositional Logic LP(X) [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2013
One of key issues for -() ary resolution automated reasoning based on lattice-valued logic with truth-value in a lattice implication algebra is to investigate the -() ary resolution of some generalized literals.
Yi Liu, Hairui Jia, Yang Xu
doaj   +1 more source

Regular Partial Residuated Lattices and Their Filters

open access: yesMathematics, 2022
To express wider uncertainty, Běhounek and Daňková studied fuzzy partial logic and partial function. At the same time, Borzooei generalized t-norms and put forward the concept of partial t-norms when studying lattice valued quantum effect algebras. Based
Nan Sheng, Xiaohong Zhang
doaj   +1 more source

Non-Clausal Multi-ary α-Generalized Resolution Calculus for a Finite Lattice-Valued Logic

open access: yesInternational Journal of Computational Intelligence Systems, 2018
Due to the need of the logical foundation for uncertain information processing, development of efficient automated reasoning system based on non-classical logics is always an active research area.
Yang Xu   +4 more
doaj   +1 more source

A Logic for Dually Hemimorphic Semi-Heyting Algebras and its Axiomatic Extensions

open access: yesBulletin of the Section of Logic, 2022
The variety \(\mathbb{DHMSH}\) of dually hemimorphic semi-Heyting algebras was introduced in 2011 by the second author as an expansion of semi-Heyting algebras by a dual hemimorphism.
Juan Manuel Cornejo   +1 more
doaj   +1 more source

Orthomodular-Valued Models for Quantum Set Theory [PDF]

open access: yes, 2017
In 1981, Takeuti introduced quantum set theory by constructing a model of set theory based on quantum logic represented by the lattice of closed linear subspaces of a Hilbert space in a manner analogous to Boolean-valued models of set theory, and showed ...
Araki   +11 more
core   +2 more sources

A Linguistic-Valued Approximate Reasoning Approach for Financial Decision Making

open access: yesInternational Journal of Computational Intelligence Systems, 2017
In order to process the linguistic-valued information with uncertainty in the financial decision- making, the present work uses a lattice-valued logical algebra - lattice implication algebra to deal with both comparable and incomparable linguistic truth ...
Xin Liu, Ying Wang, Xiaonan Li, Li Zou
doaj   +1 more source

Canonical Completeness in Lattice-Based Languages for Attribute-Based Access Control [PDF]

open access: yes, 2017
The study of canonically complete attribute-based access control (ABAC) languages is relatively new. A canonically complete language is useful as it is functionally complete and provides a "normal form" for policies. However, previous work on canonically
Crampton, Jason, Williams, Conrad
core   +2 more sources

Admissibility in Finitely Generated Quasivarieties [PDF]

open access: yes, 2013
Checking the admissibility of quasiequations in a finitely generated (i.e., generated by a finite set of finite algebras) quasivariety Q amounts to checking validity in a suitable finite free algebra of the quasivariety, and is therefore decidable ...
Metcalfe, George   +1 more
core   +4 more sources

The arity gap of polynomial functions over bounded distributive lattices [PDF]

open access: yes, 2009
Let A and B be arbitrary sets with at least two elements. The arity gap of a function f: A^n \to B is the minimum decrease in its essential arity when essential arguments of f are identified.
Couceiro, Miguel, Lehtonen, Erkko
core   +1 more source

Algebraic semantics for one-variable lattice-valued logics

open access: yes, 2022
The one-variable fragment of any first-order logic may be considered as a modal logic, where the universal and existential quantifiers are replaced by a box and diamond modality, respectively. In several cases, axiomatizations of algebraic semantics for these logics have been obtained: most notably, for the modal counterparts S5 and MIPC of the one ...
Cintula, Petr   +2 more
openaire   +2 more sources

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