A semantical investigation on Brouwer-Zadeh logic (Q1181477)

In its abstract form, the structure of propositions on a quantum system forms a Brouwer-Zadeh logic (BZL). This remarkable paper shows that a BZL can be characterized by means of an algebraic and Kripkean semantics. It also brings a strong completeness theorem for BZLs (a BZL does not have to be a lattice). --- The paper contributes to a promising programme of the Florence philosophico-mathematical school in the pursuit of mathematical foundations of quantum theories.