We study contexts (terms with holes) by proposing a ‘λcalculus with holes’. It is very expressive and can encode programming constructs apparently unrelated to contexts, incl...
Abstract. We develop a variant of Gordon and Hankin's concurrent object calculus with support for flexible access control on methods. We investigate safe administration and ac...
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
Abstract We investigate here a new version of the Calculus of Inductive Constructions (CIC) on which the proof assistant Coq is based: the Calculus of Congruent Inductive Construct...
I describe the mechanisation in HOL of some basic -calculus theory, using the axioms proposed by Gordon and Melham [4]. Using these as a foundation, I mechanised the proofs from C...