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Provability, complexity, grammars

The book contains English translations of three outstanding dissertations in mathematical logic and complexity theory. L. Beklemishev proves that all provability logics must belong to one of the four previously known classes. The dissertation of M. Pentus proves the Chomsky conjecture about the equi...

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Detalles Bibliográficos
Autores principales: Beklemishev, Lev, Pentus, Mati, Vereshchagin, Nikolai
Lenguaje:eng
Publicado: American Mathematical Society 1999
Materias:
Acceso en línea:http://cds.cern.ch/record/2264266
Descripción
Sumario:The book contains English translations of three outstanding dissertations in mathematical logic and complexity theory. L. Beklemishev proves that all provability logics must belong to one of the four previously known classes. The dissertation of M. Pentus proves the Chomsky conjecture about the equivalence of two approaches to formal languages: the Chomsky hierarchy and the Lambek calculus. The dissertation of N. Vereshchagin describes a general framework for criteria of reversability in complexity theory.