Models and Termination of Proof Reduction in the lambda Pi-Calculus Modulo Theory

@inproceedings{Dowek2015ModelsAT,
  title={Models and Termination of Proof Reduction in the lambda Pi-Calculus Modulo Theory},
  author={Gilles Dowek},
  booktitle={International Colloquium on Automata, Languages and Programming},
  year={2015}
}
  • Gilles Dowek
  • Published in
    International Colloquium on…
     26 January 2015
  • Mathematics, Computer Science
We define a notion of model for the λΠ-calculus modulo theory, a notion of superconsistent theory, and prove that proof-reduction terminates in the λΠ-calculus modulo a super-consistent theory. We prove this way the termination of proof-reduction in two theories in the λΠ-calculus modulo theory, and their consistency: an embedding of Simple type theory and an embedding of the Calculus of constructions. 
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