Constructions: A Higher Order Proof System for Mechanizing Mathematics

@inproceedings{Coquand1985ConstructionsAH,
  title={Constructions: A Higher Order Proof System for Mechanizing Mathematics},
  author={Thierry Coquand and G{\'e}rard P. Huet},
  booktitle={European Conference on Computer Algebra},
  year={1985}
}
We p r e s e n t an ex t ens ive se t of m a t h e m a t i c a l p r o p o s i t i o n s a n d p r o o f s in o r d e r to d e m o n s t r a t e t h e power of e x p r e s s i o n of t h e t h e o r y of c o n s t r u c t i o n s . I n t r o d u c t i o n The t h e o r y of c o n s t r u c t i o n s is a h i g h e r o r d e r ca lcu lus insp i red f r o m the work of De Brui jn l l , l z , Gi ra rd 23,2z and Mart in-L6f 39. It is i n t r o d u c e d and m o t i v a t e d in C o q u a n d H u e… CONTINUE READING
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