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math.LO2022
Embeddings of metric Boolean algebras in
Stefano Bonzio, Andrea Loi
A Boolean algebra $\A$ equipped with a (finitely-additive) positive probability measure can be turned into a metric space $(\A , d_{m})$, where $d_{m}(a,b)= m ((a\wedge\neg b)\…
math.LO2020
Probability over Plonka sums of Boolean algebras: states, metrics and topology
S. Bonzio, A. Loi
The paper introduces the notion of state for involutive bisemilattices, a variety which plays the role of algebraic counterpart of paraconsistent weak Kleene logic and whose elemen…
math.LO2016
A duality for involutive bisemilattices
Stefano Bonzio, Andrea Loi, Luisa Peruzzi
We establish a natural duality between the category of involutive bisemilattices and the category of semilattice inverse systems of Stone spaces, using Stone duality from one side…