We extract on the computer a number of moduli of uniform continuity for the first few elements of a sequence of closed terms t of G¨odel’s T of type (N→N)→(N→N). The gen...
We demonstrate program extraction by the Light Dialectica Interpretation (LDI) on a minimal logic proof of the classical existence of Fibonacci numbers. This semi-classical proof ...
This paper describes formalizations of Tait’s normalization proof for the simply typed λ-calculus in the proof assistants Minlog, Coq and Isabelle/HOL. From the formal proofs p...
We describe two representations for real numbers, signed digit streams and Cauchy sequences. We give coinductive proofs for the correctness of functions converting between these tw...
Abstract. We compare the styles of several proof assistants for mathematics. We present Pythagoras’ proof of the irrationality of √ 2 both informal and formalized in (1) HOL, (...