We prove constructively (in the style of Bishop) that every monotone continuous function with a uniform modulus of increase has a continuous inverse. The proof is formalized, and a...
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be tho...
We show that it is decidable whether a third-order matching problem in the polymorphic lambda calculus has a solution. The proof is constructive in the sense that an algorithm can...
Approximate Herbrand theorems are established for first-order fuzzy logics based on continuous t-norms, and used to provide proof-theoretic proofs of Skolemization for their Prenex...
We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank r {2, 3}. We give a computer-free proof for the uniqueness, up to isomorphism, of the...