In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general m...
It is known that the first-order theory with a single predicate → that denotes one-step rewriting reduction on terms is undecidable already for formulae with ∃∀ prefix. Sev...
Infinitary Term Rewriting allows to express infinitary terms and infinitary reductions that converge to them. As their notion of transfinite reduction in general, and as binary...
We show how a well-known superposition-based inference system for first-order equational logic can be used almost directly as a decision procedure for various theories including l...
The proofs of major results of Computability Theory like Rice, Rice-Shapiro or Kleene's fixed point theorem hide more information of what is usually expressed in their respec...