English

The logic of pseudo-uninorms and their residua

Logic 2017-07-19 v1

Abstract

Our method of density elimination is generalized to the non-commutative substructural logic GpsUL*. Then the standard completeness of GpsUL* follows as a lemma by virtue of previous work by Metcalfe and Montagna. This result shows that GpsUL* is the logic of pseudo-uninorms and their residua and answered the question posed by Prof. Metcalfe, Olivetti, Gabbay and Tsinakis.

Keywords

Cite

@article{arxiv.1707.05441,
  title  = {The logic of pseudo-uninorms and their residua},
  author = {SanMin Wang},
  journal= {arXiv preprint arXiv:1707.05441},
  year   = {2017}
}

Comments

Any comments are welcome prior to formal publication and I would like answer your any question about this work([email protected]). I will upload some materials (such as detailed proofs of some lemmas, examples, etc.) to Arxiv later