A deterministic terminating sequent calculus for Godel-Dummett logic
- 1 May 1999
- journal article
- research article
- Published by Oxford University Press (OUP) in Logic Journal of the IGPL
- Vol. 7 (3) , 319-326
- https://doi.org/10.1093/jigpal/7.3.319
Abstract
We give a short proof-theoretic treatment of a terminating contraction-free calculus G4-LC for the zero-order Gödel-Dummett logic LC. This calculus is a slight variant of a calculus given by Avellone et al, who show its completeness by model-theoretic techniques. In our calculus, all the rules of G4-LC are invertible, thus allowing a deterministic proof-search procedure. Keywords:sequent calculus, contraction-free, terminating, Gödel-Dummett logicKeywords
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