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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, Number 3, Pages 110–113 (Mi basm402)  

Short communications

On the absence of finite approximation relative to model completeness in propositional provability logic

Olga Izbasha, Andrei Rusubc

a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
b Ovidius University of Constanţa, Dep. of Mathematics and Informatics
c Information Society Development Institute, Academy of Sciences of Moldova
References:
Abstract: In the present paper we consider the expressibility of formulas in the provability logic $GL$ and related to it questions of the model completeness of system of formulas. We prove the absence of a finite approximation relative to model completeness in $GL$.
Keywords and phrases: expressibility, model completeness, provabilty logic, diagonalizable algebra.
Received: 10.09.2015
Document Type: Article
MSC: 03F45, 06E30
Language: English
Citation: Olga Izbash, Andrei Rusu, “On the absence of finite approximation relative to model completeness in propositional provability logic”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2015, no. 3, 110–113
Citation in format AMSBIB
\Bibitem{IzbRus15}
\by Olga~Izbash, Andrei~Rusu
\paper On the absence of finite approximation relative to model completeness in propositional provability logic
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2015
\issue 3
\pages 110--113
\mathnet{http://mi.mathnet.ru/basm402}
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