Even though it is not very often admitted, partial functions do play a significant role in many practical applications of deduction systems. Kleene has already given a semantic acc...
We study Craig interpolation for fragments and extensions of propositional linear temporal logic (PLTL). We consider various fragments of PLTL obtained by restricting the set of te...
Although sorts and unary predicates are semantically identical in order-sorted logic, they are classified as different kinds of properties in formal ontology (e.g. sortal and non...
Abstract. We present the first implementation of a theorem prover running on a smart card. The prover is written in Java and implements a dual tableau calculus. Due to the limited ...
Rules that are admissible can be used in any derivations in any axiomatic system of a logic. In this paper we introduce a method for checking the admissibility of rules in the mod...
Sergey Babenyshev, Vladimir V. Rybakov, Renate A. ...