Systematic construction of natural deduction systems for many-valued logics

23rd International Symposium on Multiple Valued Logic. Sacramento. Proceedings (IEEE Press, Los Alamitos, 1993) 208–213
(with Matthias Baaz and Christian G. Fermüller)

A construction principle for natural deduction systems for arbitrary finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent calculi, which in turn can be automatically extracted from the truth tables of the logics under consideration. Soundness and cut-free completeness of these sequent calculi translate into soundness, completeness and normal form theorems for the natural deduction systems.

DOI: 10.1109/ISMVL.1993.289558

Preprint

Extended version (appeared as technical report TUW-E185.2-BFZ.1-93)

Note

The MUltlog system will automatically construct many-sided calculi from given truth tables.