On Some Systems for Two Versions of Many-valued Logics

Chubaryan, Anahit/ Khamisyan, Artur/ Petrosyan, Garik

ISBN 10: 6202011041 / ISBN 13: 9786202011044

Editore: LAP LAMBERT Academic Publishing, 2017

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80 pages. 8.66x5.91x0.19 inches. In Stock.

Codice articolo zk6202011041

Dati bibliografici

• Titolo: On Some Systems for Two Versions of Many-valued Logics
• Editore: LAP LAMBERT Academic Publishing
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 6202011041
• ISBN 13: 9786202011044
• Rilegatura: Paperback
• Condizione: Brand New
• Peso: 0,17 chilogrammi

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Riassunto

The current research refers to the problem of constructing several proof systems for two versions of many-valued propositional logic and investigating of their properties . The generalization of Kalmar’s proof of deducibility for two-valued tautologies in the classical propositional logic gives us a possibility to suggest 1) a new method of proving the completeness of propositional proof system of three-valued logic of Lukasewicz that it is essentially simpler than other known proofs of completeness and can be easily modified into a proof of completeness for other versions of k-valued logics for k≥3 and even for fuzzy logic as well, 2) a method of defining many traditional variants of proof systems for k-valued (k≥3) logics, the completeness of which is easily proved directly, without the usual immersion into two-valued logic. Most of all the introduced proof systems are “weak” ones with a “simple strategist” of proof search and we have also investigated the quantitative properties, related to proof complexity characteristics in them.