α-Minimal Resolution Principle For A Lattice-Valued Logic [PDF]
Based on the academic ideas of resolution-based automated reasoning and the previously established research work on binary α-resolution based automated reasoning schemes in the framework of lattice-valued logic with truth-values in a lattice ...
Hairui Jia, Yang Xu, Yi Liu, Jun Liu
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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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α-Resolution Method for Lattice-valued Horn Generalized Clauses in Lattice-valued Propositional Logic Systems [PDF]
In this paper, an α-resolution method for a set of lattice-valued Horn generalized clauses is established in lattice-valued propositional logic system ℒ P(X) based on lattice implication algebra.
Weitao Xu+4 more
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A Semi-lattice of Four-valued Literal-paraconsistent-paracomplete Logics
In this paper, we consider the class of four-valued literal-paraconsistent-paracomplete logics constructed by combination of isomorphs of classical logic CPC. These logics form a 10-element upper semi-lattice with respect to the functional embeddinig one
Natalya Tomova
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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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α-Quasi-Lock Semantic Resolution Method Based on Lattice-Valued Logic [PDF]
Based on the general form of α-resolution principle for a lattice-valued logic with truth-values defined in a lattice-valued logical algebra structure - lattice implication algebra, the further extended α-resolution method in this lattice ...
Xiaomei Zhong+3 more
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Lattice Structure of Some Closed Classes for Three-Valued Logic and Its Applications [PDF]
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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Skolemization and Herbrand theorems for lattice-valued logics [PDF]
Abstract Skolemization and Herbrand theorems are obtained for first-order logics based on algebras with a complete lattice reduct and operations that are monotone or antitone in each argument. These lattice-valued logics, defined as consequence relations on inequations between formulas, typically lack properties underlying automated reasoning in ...
Petr Cintula+2 more
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Between quantum logic and concurrency [PDF]
We start from two closure operators defined on the elements of a special kind of partially ordered sets, called causal nets. Causal nets are used to model histories of concurrent processes, recording occurrences of local states and of events. If every
Luca Bernardinello+2 more
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A Comparison between Lattice-Valued Propositional Logic LP(X) and Gradational Lattice-Valued Propositional Logic Lvpl [PDF]
In order to provide a logical foundation for uncertain information processing theory, especially for the fuzziness, the incomparability uncertain information in the reasoning, Xu presented the lattice implication algebra by combining lattice and implication algebra in 1993 [1].
Zhiyan Chang+3 more
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