Semi De Morgan logic properly displayed
Logic
2018-09-26 v2
Abstract
In the present paper, we endow a family of axiomatic extensions of semi De Morgan logic with proper multi-type display calculi which are sound, complete, conservative, and enjoy cut elimination and subformula property. Our proposal builds on an algebraic analysis of semi De Morgan algebras and its subvarieties and applies the guidelines of the multi-type methodology in the design of display calculi.
Keywords
Cite
@article{arxiv.1809.07933,
title = {Semi De Morgan logic properly displayed},
author = {Giuseppe Greco and Fei Liang and M. Andrew Moshier and Alessandra Palmigiano},
journal= {arXiv preprint arXiv:1809.07933},
year = {2018}
}