Brief Reminder of Constructive Type Theory

  • Nicolas ClerboutEmail author
  • Shahid Rahman
Part of the SpringerBriefs in Philosophy book series (BRIEFSPHILOSOPH)


Within Per Martin-Löf’s Constructive Type Theory (CTT for short) the logical constants are interpreted through the Curry-Howard correspondence between propositions and sets. A proposition is interpreted as a set whose elements represent the proofs of the proposition. It is also possible to view a set as a problem description in a way similar to Kolmogorov’s explanation of the intuitionistic propositional calculus.


Constructive Type Theory Intuitionistic Predicate Logic Curry-Howard Correspondence Hypothetical Judgment Elimination Rules 
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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Instituto de Filosofía; CDHACSUniversidad de ValparaísoValparaísoChile
  2. 2.UMR-CNRS 8163: STLUniversity of Lille IIIVilleneuve d’AscqFrance

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