This paper presents an imperative object calculus designed to support class-based programming via a combination of extensible objects and encapsulation. This calculus simplifies th...
Abstract. We will show how padding techniques can be applied on onedimensional cellular automata by proving a transfer theorem on complexity classes (how one inclusion of classes i...
Many inequalities involving the functions ln, exp, sin, cos, etc., can be proved automatically by MetiTarski: a resolution theorem prover (Metis) modified to call a decision proced...
We prove the following generalised empty pentagon theorem: for every integer 2, every sufficiently large set of points in the plane contains collinear points or an empty pentagon...
Abstract. We prove "untyping" theorems: in some typed theories (semirings, Kleene algebras, residuated lattices, involutive residuated lattices), typed equations can be d...