The universal Horn theory of relational Kleene algebra with tests (RKAT) is of practical interest, particularly for program semantics. We develop an (infinitary) proof system, ba...
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbert’s program works rge part of abstract algebra. Using in...
The notion of interval sets is introduced as a new kind of sets, represented by a pair of sets, namely, the lower and upper bounds. The interval-set algebra may be regarded as a c...
We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise t...
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...