A "Game Semantical" Intuitionistic Realizability Validating Markov's Principle

Authors Federico Aschieri, Margherita Zorzi

Thumbnail PDF


  • Filesize: 0.61 MB
  • 21 pages

Document Identifiers

Author Details

Federico Aschieri
Margherita Zorzi

Cite AsGet BibTex

Federico Aschieri and Margherita Zorzi. A "Game Semantical" Intuitionistic Realizability Validating Markov's Principle. In 19th International Conference on Types for Proofs and Programs (TYPES 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 26, pp. 24-44, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014)


We propose a very simple modification of Kreisel's modified realizability in order to computationally realize Markov's Principle in the context of Heyting Arithmetic. Intuitively, realizers correspond to arbitrary strategies in Hintikka-Tarski games, while in Kreisel's realizability they can only represent winning strategies. Our definition, however, does not employ directly game semantical concepts and remains in the style of functional interpretations. As term calculus, we employ a purely functional language, which is Goedel's System T enriched with some syntactic sugar.
  • Markov's Principle
  • Intuitionistic Realizability
  • Heyting Arithmetic
  • Game Semantics


  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    PDF Downloads
Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail