avery short note on homotopy calculus vladimir voevodsky september 27 2006 october 10 2009 the homotopy calculus is a hypothetical at the moment type system to some extent one may ...
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...Avery short note on homotopy calculus vladimir voevodsky september october the is a hypothetical at moment type system to some extent one may say that h an attempt bridge gap between classical systems such as ones of pvs or hol light and polymorphic coq main problem with lies in properties equality types soon we have universe u which prop member are trouble boolean case has automorphism order negation it clear this should correspond eq however far i understand there no way produce related looks follows suppose t two expressions exists isomorphism later notion course requires for members clearly any proposition true be e all functions p again can not proved matter what use here general picture let us consider ts generated by sequents ui rules q usual dependent inside each un strong elimination supposed extension becomes empty natural numbers dened see below terms cc contexts category model values d mean functor preserves relevant structures observation canonical m provided based sucient...