Interpretability logics and generalized Veltman semantics
Logic
2019-07-10 v1
Abstract
We obtain modal completeness of the interpretability logics ILP_0 and ILR w.r.t. generalized Veltman semantics. Our proofs are based on the notion of smart (full) labels. We also give shorter proofs of completeness w.r.t. generalized semantics for many classical interpretability logics. We obtain decidability and finite model property w.r.t. generalized semantics for ILP_0 and ILR. Finally, we develop a construction that might be useful for proofs of completeness of extensions of ILW w.r.t. generalized semantics in the future, and demonstrate its usage with ILW* = ILM_0W.
Keywords
Cite
@article{arxiv.1907.03849,
title = {Interpretability logics and generalized Veltman semantics},
author = {Luka Mikec and Mladen Vuković},
journal= {arXiv preprint arXiv:1907.03849},
year = {2019}
}
Comments
20 pages, 1 figure