English

An implication in orthologic

Quantum Physics 2007-05-23 v2

Abstract

We involve a certain propositional logic based on ortholattices. We characterize the implicational reduct of such a logic and we show that its algebraic counterpart is the so-called orthosemilattice. Properties of congruences and congruence kernels of these algebras are described.

Keywords

Cite

@article{arxiv.quant-ph/0210083,
  title  = {An implication in orthologic},
  author = {I. Chajda and R. Halas},
  journal= {arXiv preprint arXiv:quant-ph/0210083},
  year   = {2007}
}

Comments

9 pages, 2 figures; revised version for conference volume QS 2002