Counting finite linearly ordered involutive bisemilattices

Bonzio S.;Pra Baldi M.;Valota D.

2018-01-01

---

Abstract

The class of involutive bisemilattices plays the role of the algebraic counterpart of paraconsistent weak Kleene logic. Involutive bisemilattices can be represented as Płonka sums of Boolean algebras, that is semilattice direct systems of Boolean algebras. In this paper we exploit the Płonka sum representation with the aim of counting, up to isomorphism, finite involutive bisemilattices whose direct system is given by totally ordered semilattices.