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Fixed-Point Logic with the Approximation Modality and Its Kripke Completeness

  • Hiroshi Nakano
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2215)

Abstract

We present two modal typing systems with the approximation modality, which has been proposed by the author to capture selfreferences involved in computer programs and their specifications. The systems are based on the simple and the F-semantics of types, respectively, and correspond to the same modal logic, which is considered the intuitionistic version of the logic of provability. We also show Kripke completeness of the modal logic and its decidability, which implies the decidability of type inhabitance in the typing systems.

Keywords

Induction Hypothesis Modal Logic Typing System Approximation Modality Completeness Theorem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Hiroshi Nakano
    • 1
  1. 1.Ryukoku UniversityJapan

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