Pavelka-style completeness in expansions of \L ukasiewicz logic
Logic
2008-07-01 v1
Abstract
An algebraic setting for the validity of Pavelka style completeness for some natural expansions of \L ukasiewicz logic by new connectives and rational constants is given. This algebraic approach is based on the fact that the standard MV-algebra on the real segment is an injective MV-algebra. In particular the logics associated with MV-algebras with product and with divisible MV-algebras are considered.
Keywords
Cite
@article{arxiv.0806.4949,
title = {Pavelka-style completeness in expansions of \L ukasiewicz logic},
author = {Hector Freytes},
journal= {arXiv preprint arXiv:0806.4949},
year = {2008}
}