We describe a formalization of the elementary algebra, topology and analysis of finite-dimensional Euclidean space in the HOL Light theorem prover. (Euclidean space is RN with the...
We observe that every rst-order logic formula over the untyped version of some many-sorted vocabulary is equivalent to a union of manysorted formulas over that vocabulary. This re...
We introduce a new framework of algebraic pure type systems in which we consider rewrite rules as lambda terms with patterns and rewrite rule application as abstraction applicatio...
Gilles Barthe, Horatiu Cirstea, Claude Kirchner, L...
Let r(n) denote the largest integer such that every family C of n pairwise disjoint segments in the plane in general position has r(n) members whose order type can be represented ...
We investigate some syntactic properties of Wadler’s dual calculus, a term calculus which corresponds to classical sequent logic in the same way that Parigot’s λµ calculus co...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...