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Boolean function minimization in the class of disjunctive normal forms
Journal of Soviet Mathematics, 1989See the review in Zbl 0666.06010.
Sapozhenko, A. A., Chukhrov, I. P.
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Shortest and minimal disjunctive normal forms of complete functions
Computational Mathematics and Mathematical Physics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimizing disjunctive normal forms of pure first-order logic
Logic Journal of the IGPL, 2017In contrast to Hintikka’s enormously complex distributive normal forms of first-order logic, this article shows how to generate minimized disjunctive normal forms of first-order logic. An effective algorithm for this purpose is outlined, and the benefits of using minimized disjunctive normal forms to explain the truth conditions of propositions ...
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Minimization of disjunctive normal forms of fuzzy logic functions
Journal of the Franklin Institute, 1981zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Irredundant disjunctive normal forms of random Boolean functions
J. Inf. Process. Cybern., 1983Summary: Estimates for the number of irredundant DNF of random Boolean functions are given. In this paper, a method of \textit{A. A. Sapozhenko} [Mat. Zametki 4, 649-658 (1968; Zbl 0169.017)] is generalized and simplified by using another probabilistic model.
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Moving Between Conjunctive and Disjunctive Normal Forms
2018As discussed in Chap. 1 (on inequality systems with logical connectives), disjunctive sets have many equivalent forms, of which the two extremes are the conjunctive normal form (CNF) and the disjunctive normal form (DNF). Although these two normal forms are at the opposite ends of the variety of equivalent forms, they share a property not common to all
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Verification of PLTL formulae by means of monotone disjunctive normal forms
1997This paper offers a satisfiability checking algorithm for the future fragment of Propositional Linear Temporal Logic. The algorithm combines the automata theoretic approach to the verification of temporal formulae and the symbolic computation technique in terms of monotone boolean disjunctive normal forms. The algorithm is given as follows.
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Using Disjunctive Diagrams for Preprocessing of Conjunctive Normal Forms
2022 45th Jubilee International Convention on Information, Communication and Electronic Technology (MIPRO), 2022openaire +1 more source
On the greatest length of a dead-end disjunctive normal form for almost all Boolean functions
Mathematical Notes, 1968A A Sapozhenko, Sapozhenko A A
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