Non-deterministic Polynomial Time Archives

Is there a contradiction between the definition of NP as a class of decision problems with polynomial-time verifiers and the fact that problems in the class P also have polynomial-time verifiers?

Monday, 27 November 2023 by panosadrianos

The class NP, standing for Non-deterministic Polynomial time, is central to computational complexity theory and encompasses decision problems that have polynomial-time verifiers. A decision problem is one that requires a yes-or-no answer, and a verifier in this context is an algorithm that checks the correctness of a given solution. It’s important to distinguish between solving

Published in Cybersecurity, EITC/IS/CCTF Computational Complexity Theory Fundamentals, Complexity, Definition of NP and polynomial verifiability

Tagged under: Computational Complexity Theory, Cybersecurity, Decision Problems, Non-deterministic Polynomial Time, Polynomial Time, Verification

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Is there a contradiction between the definition of NP as a class of decision problems with polynomial-time verifiers and the fact that problems in the class P also have polynomial-time verifiers?

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Is there a contradiction between the definition of NP as a class of decision problems with polynomial-time verifiers and the fact that problems in the class P also have polynomial-time verifiers?