Sadhana

, Volume 34, Issue 1, pp 71–144

A compact kernel for the calculus of inductive constructions

Authors

    • Department of Computer ScienceUniversity of Bologna
  • W. Ricciotti
    • Department of Computer ScienceUniversity of Bologna
  • C. Sacerdoti Coen
    • Department of Computer ScienceUniversity of Bologna
  • E. Tassi
    • Department of Computer ScienceUniversity of Bologna
Article

DOI: 10.1007/s12046-009-0003-3

Cite this article as:
Asperti, A., Ricciotti, W., Sacerdoti Coen, C. et al. Sadhana (2009) 34: 71. doi:10.1007/s12046-009-0003-3

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 proverscalculus of inductive constructionsMatitaKernel
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Copyright information

© Indian Academy of Sciences 2009