Strong Artificial Intelligence (Strong AI) or Artificial General Intelligence (AGI) with abstract
reasoning ability is the goal of next-generation AI. Recent advancements in Large Language …

This book is intended as a course in modal logic for students who have had prior contact
with modal logic and wish to study it more deeply. It presupposes training in mathematics or …

ON THE ADMISSIBLE RULES OF INTUITIONISTIC PROPOSITIONAL LOGIC §1. Introduction. The
admissible rules of a theory are the rules Page 1 THE JOURNAL OF SYMBOLIC LOGIC Volume …

Intuitionistic logic encompasses the general principles of logical reasoning which have been
abstracted by logicians from intuitionistic mathematics, as developed by LEJ Brouwer …

Unique in providing a philosophically and historically based introduction to modal logic
accessible to every reader, emphasizing the notion of multimodality as a background while …

Lattices of intermediate and cylindric modal logics Nick Bezhanishvili Abtract: In this thesis
we study classes of intermediate and cylindric modal logics. Intermediate logics are the …

Unification was originally introduced in automated deduction and term rewriting, but has
recently also found applications in other fields. In this article, we give a survey of the results …

We construct explicit bases of admissible rules for a representative class of normal modal
logics (including the systems K4, GL, S4, Grz, and GL. 3), by extending the methods of S …

Algebraic logic can be divided into two main parts. Part I studies algebras which are relevant
to logic (s), eg algebras which were obtained from logics (one way or another). Since Part I …

The object of our study is the propositional linear temporal logic LTL with operations Until
and Next. We deal with inference rules admissible in LTL. Earlier the decidability of LTLw. rt …