In this paper, we present a novel first order theorem proving strategy - ordered semantic hyper linking. Ordered semantic hyper linking (OSHL) is an instance-based refutational th...
We present a completion-based method for handling a new version of E-unification, called "mixed" E-unification, that is a combination of the classical "universal&quo...
The E-KRHyper system is a model generator and theorem prover for first-order logic with equality. It implements the new E-hyper tableau calculus, which integrates a superposition-b...
Abstract. We study the lattice structure of sets (monoids) of surjective hyper-operations on an n-element domain. Through a Galois connection, these monoids form the algebraic coun...
First-order modal logics, as traditionally formulated, are not expressive enough. It is this that is behind the difficulties in formulating a good analog of Herbrand’s Theorem, ...