Axiomatization of finitely-valued logics
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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