Article

Sadhana

, Volume 34, Issue 1, pp 71-144

A compact kernel for the calculus of inductive constructions

  • A. AspertiAffiliated withDepartment of Computer Science, University of Bologna Email author 
  • , W. RicciottiAffiliated withDepartment of Computer Science, University of Bologna
  • , C. Sacerdoti CoenAffiliated withDepartment of Computer Science, University of Bologna
  • , E. TassiAffiliated withDepartment of Computer Science, University of Bologna

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Abstract

The paper describes the new kernel for the Calculus of Inductive Constructions (CIC) implemented inside the Matita Interactive Theorem Prover. The design of the new kernel has been completely revisited since the first release, resulting in a remarkably compact implementation of about 2300 lines of OCaml code. The work is meant for people interested in implementation aspects of Interactive Provers, and is not self contained. In particular, it requires good acquaintance with Type Theory and functional programming languages.

Keywords

Interactive theorem provers calculus of inductive constructions Matita Kernel