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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

POLYNOMIAL LENGTH PROOFS FOR SOME CLASS OF TSEITIN FORMULAS

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

In this paper the notion of quasi-hard determinative formulas is introduced and the proof complexities of such formulas are investigated. For some class of quasi-hard determinative formulas the same order lower and upper bounds for the length of proofs are obtained in several proof systems, basing on disjunctive normal forms (conjunctive normal forms).

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