Publications in Scientific Journals:
R. Kuznets, B. Lellmann:
"Interpolation for intermediate logics via injective nested sequents";
Journal of Logic and Computation,
31
(2021),
3;
797
- 831.
English abstract:
We introduce a novel, semantically inspired method of constructing nested sequent calculi for propositional intermediate logics. Applying recently developed methods for proving Craig interpolation to these nested sequent calculi, we obtain constructive proofs of the interpolation property for most non-trivial interpolable intermediate logics, as well as Lyndon interpolation for Gödel logic. Finally, we provide a prototype implementation combining proof search and countermodel construction.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1093/logcom/exab015
Created from the Publication Database of the Vienna University of Technology.