A Refutation of Guinea's "Understanding SAT is in P"
Jackson Abascal, Shir Maimon
TL;DR
This paper critically examines Guinea's claim of a polynomial-time solution for 3-SAT, demonstrating that the proposed algorithm is flawed and does not establish P=NP.
Contribution
It provides a detailed critique of Guinea's algorithm, clarifying why it fails to prove 3-SAT is in P and reinforcing the current understanding of NP-completeness.
Findings
Guinea's algorithm is flawed
The paper does not support P=NP
Reinforces the complexity of 3-SAT
Abstract
In this work, we summarize and critique the paper "Understanding SAT is in P" by Alejandro S\'anchez Guinea [arXiv:1504.00337]. The paper claims to present a polynomial-time solution for the NP-complete language 3-SAT. We show that Guinea's algorithm is flawed and does not prove 3-SAT is in P.
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Taxonomy
Topicssemigroups and automata theory · Advanced Graph Theory Research · Computability, Logic, AI Algorithms