Natural Deduction, Hybrid Systems and Modal Logics

Andrzej Indrzejczak is professor of logic and Head of the Department of General Methodology at the University of Lodz, Poland. His scientific interests include the proof theory for non-classical logics, the philosophy of logic and the methodology of science. He is the author of three books and numerous papers concerned mainly with the investigation of proof techniques for non-classical logics, published e.g. in Bulletin of the Section of Logic, Logic Journal of the IGPL, Logic and Logical Philosophy, Logica Trianguli, and Studia Logica.

• Preliminaries.- Standard Natural Deduction.- Other Deductive Systems.- Extended Natural Deduction.- Survey of Modal Logics.- Standard Approach to Basic Modal Logics.- Beyond Basic Logics and Standard Systems.- Labelled Systems in Modal Logics.- Logics of Linear Frames.- Analytic Labelled ND and Proof Search.- Modal Hybrid Logics.- Proof Methods for MHL.