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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.17413 |
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Table of Contents:
- The paper considers the representation of k-valued logical functions in the class of disjunctive normal forms. Various classes of monotone functions of k-valued logic are investigated. Theorems are proved on the coincidence of reduced and shortest disjunctive nominal forms of k-valued functions. For a certain class of k-valued monotone functions, we prove an estimate for the number of functions in this class. we prove criteria for the absorption of elementary conjunctions by a first-order neighborhood of disjunctive normal forms of k-valued functions.