On the reduction property for GLP-algebras


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Abstract

We consider a natural generalization to the class of all GLP-algebras of the so-called reduction property for the polymodal provability algebras in arithmetic. An analogue of this property is established for the free GLP-algebras and for some topological GLP-algebras (GLP-spaces).

About the authors

L. D. Beklemishev

Steklov Mathematical Institute

Author for correspondence.
Email: bekl@mi.ras.ru
Russian Federation, Moscow

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