The lambda-Pi-calculus allows to express proofs of minimal predicate logic. It can be extended, in a very simple way, by adding computation rules. This leads to the lambda-Pi-calcu...
The -calculus is an extension of the -calculus with a pattern matching facility. The form of the argument of a function can be speci ed and hence -calculus is more convenient than...
Jan Willem Klop, Vincent van Oostrom, Roel C. de V...
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
We present a notion of -long ? -normal term for the typed lambda calculus with sums and prove, using Grothendieck logical relations, that every term is equivalent to one in norm...