A test for completeness with respect to implicit reducibility in the chain super-intutionistic logics
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CUCU, Ion. A test for completeness with respect to implicit reducibility in the chain super-intutionistic logics. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 1(50), pp. 23-30. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 1(50) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

A test for completeness with respect to implicit reducibility in the chain super-intutionistic logics
MSC 2010: 16D80, 16D90, 16D20

Pag. 23-30

Cucu Ion
 
Moldova State University
 
 
Disponibil în IBN: 14 decembrie 2015


Rezumat

We examine chain logics C2,C3, . . . , which are intermediary between classical and intuitionistic logics. The paper contains the criterion for recognition of completeness with respect to implicit reducibility in the logic Cm, for any m = 2, 3, . . . . The criterion is based on 13 closed pre-complete classes of formulas.

Cuvinte-cheie
Chain intermediate logic, pseudo-Boolean algebra, implicit reducibility,

expressibility, centralizer.