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 orginal 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
Bernardinello, L., Ferigato, C., Pomello, L., PUERTO AUBEL, A. (2017). Synthesis of transition systems from quantum logics. FUNDAMENTA INFORMATICAE, 154(1-4), 25-36 [10.3233/FI-2017-1550].
Synthesis of transition systems from quantum logics
Bernardinello, L
;Pomello, L;PUERTO AUBEL, ADRIAN
2017
Abstract
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 orginal 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
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