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{ "item_title" : "Axiomatization of finitely-valued logics", "item_author" : [" Alexej P. Pynko "], "item_description" : "Here, we develop a unversal method ofeffective] constructingafinite] Hilbert-style axiomatization of the logic of a givenfinite disjunctive/implicative matrix with equality determinant and finitely many connectives](in particular, any/ implicative four-valued expansion of Belnap'sfour-valued logic / as well as any \L{}ukasiewicz finitely-valued logic]).As a by-product, we also prove that the poset of all disjunctive/axiomaticextensions of the logic is dual to the finite distributive latticeof all relatively-hereditary subsets of the set of allconsistent submatrices of the matrixto be found effectivelytogether with their finite relative axiomatizations andboth sound and complete matrix semantics]", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/9/79/859/303/9798593038739_b.jpg", "price_data" : { "retail_price" : "100.00", "online_price" : "100.00", "our_price" : "100.00", "club_price" : "100.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Axiomatization of finitely-valued logics|Alexej P. Pynko

Axiomatization of finitely-valued logics

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Overview

Here, we develop a unversal method of effective] constructinga finite] Hilbert-style axiomatization of the logic of a givenfinite disjunctive/implicative matrix with equality determinant and finitely many connectives](in particular, any/ implicative four-valued expansion of Belnap'sfour-valued logic / as well as any \L{}ukasiewicz finitely-valued logic]).As a by-product, we also prove that the poset of all disjunctive/axiomaticextensions of the logic is dual to the finite distributive latticeof all relatively-hereditary subsets of the set of allconsistent submatrices of the matrix to be found effectivelytogether with their finite relative axiomatizations andboth sound and complete matrix semantics]

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Details

  • ISBN-13: 9798593038739
  • ISBN-10: 9798593038739
  • Publisher: Independently Published
  • Publish Date: January 2021
  • Dimensions: 9.02 x 5.98 x 0.11 inches
  • Shipping Weight: 0.19 pounds
  • Page Count: 54

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