Frege systems for extensible modal logics

نویسنده

  • Emil Jerábek
چکیده

By a well-known result of Cook and Reckhow [4, 12], all Frege systems for the Classical Propositional Calculus (CPC ) are polynomially equivalent. Mints and Kojevnikov [11] have recently shown p-equivalence of Frege systems for the Intuitionistic Propositional Calculus (IPC ) in the standard language, building on a description of admissible rules of IPC by Iemhoff [8]. We prove a similar result for an infinite family of normal modal logics, including K4, GL, S4, and S4Grz .

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عنوان ژورنال:
  • Ann. Pure Appl. Logic

دوره 142  شماره 

صفحات  -

تاریخ انتشار 2006