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1 results

  • ANALYTIC CUT AND INTERPOLATION FOR BI-INTUITIONISTIC LOGIC

  • TOMASZ KOWALSKI, HIROAKIRA ONO
  • Journal:
    The Review of Symbolic Logic / Volume 10 / Issue 2 / June 2017
    Published online by Cambridge University Press:
    06 December 2016, pp. 259-283
    Print publication:
    June 2017

  • We prove that certain natural sequent systems for bi-intuitionistic logic have the analytic cut property. In the process we show that the (global) subformula property implies the (local) analytic cut property, thereby demonstrating their equivalence. Applying a version of Maehara technique modified in several ways, we prove that bi-intuitionistic logic enjoys the classical Craig interpolation property and Maximova variable separation property; its Halldén completeness follows.