A Real-Valued Modal Logic [PDF]
A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers.
Denisa Diaconescu +2 more
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Skolemization and Herbrand theorems for lattice-valued logics [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Cintula +2 more
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Non-Clausal Multi-ary α-Generalized Resolution Calculus for a Finite Lattice-Valued Logic [PDF]
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
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Four-valued expansions of Dunn-Belnap's logic (I): Basic characterizations [PDF]
Basic results of the paper are that any four-valued expansion L4 of Dunn-Belnap's logic DB4 is de_ned by a unique (up to isomorphism) conjunctive matrix ℳ4 with exactly two distinguished values over an expansion 𝔄4 of a De Morgan non-Boolean four-valued ...
Alexej P. Pynko
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HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]
Intuitionistic Logic was introduced by L. E. J. Brouwer in[1] and Heyting algebra was defined by A. Heyting to formalize the Brouwer’s intuitionistic logic[4]. The concept of Heyting algebra has been accepted as the basis for intuitionistic propositional
Sinem Tarsuslu(Yılmaz) +1 more
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On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]
In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
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Chinese Research on Mathematical Logic and the Foundations of Mathematics
This paper outlines the Chinese research on mathematical logic and the foundations of mathematics. Firstly, it presents the introduction and spread of mathematical logic in China, especially the teaching and translation of mathematical logic initiated ...
Hongguang Wang, Guoping Du
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Turing machines based on unsharp quantum logic [PDF]
In this paper, we consider Turing machines based on unsharp quantum logic. For a lattice-ordered quantum multiple-valued (MV) algebra E, we introduce E-valued non-deterministic Turing machines (ENTMs) and E-valued deterministic Turing machines (EDTMs ...
Yun Shang, Xian Lu, Ruqian Lu
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Lattice Structure of Some Closed Classes for Three-Valued Logic and Its Applications
This paper provides a brief overview of modern applications of nonbinary logic models, where the design of heterogeneous computing systems with small computing units based on three-valued logic produces a mathematically better and more effective solution
Elmira Yu. Kalimulina
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Criterion of Completeness and Submaximal Ultraclones for Linear Hyperfunctions of Rank 2
In recent years, the direction associated with the study of maps from a finite set A to the set of all subsets of the set A, including the empty one, has been intensively developing. Such mappings are called multifunctions on A, as well as hyperfunctions
I.K. Sharankhaev
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