Minimization of the conjunctive normal forms of partially monotonic Boolean functions

Pynko, AP
Dopov. Nac. akad. nauk Ukr. 2017, 3:18-21
https://doi.org/10.15407/dopovidi2017.03.018
Section: Information Science and Cybernetics
Language: Russian
Abstract: 

A Boolean function is said to be partially monotonic provided it is monotonic with respect to some of its arguments, while anti-monotonic with respect to others. We argue that the conjunctive normal forms of partially monotonic Boolean functions can be minimized in a quite effective way with involving just disjuncts possesing the same partial monotonicity.

Keywords: Boolean function, conjunct, conjunctive normal form, disjunct, disjunctive normal form, literal
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