Synthesis of Transition Systems from Quantum Logics
Luca Bernardinello, Carlo Ferigato, Lucia Pomello, Adrián Puerto Aubel · Fundamenta Informaticae · 2017
The set of elementary regions of a transition system, ordered by set inclusion, forms an orthomodular poset, also referred to as quantum logic, which is regular and rich. Starting from an abstract regular and rich quantum logic, one can construct an elementary transition system such that the orgina l logic embeds into its set of regions, and which is saturated of transitions. We study the problem of selecting subsets of transitions on the same set of states, which generate the same set of regions.