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A possible syntactic inconsistency inside the P vs. NP formulation
- AnonymousXipang 9mo agoThis is not a proof or a claimed solution. The manuscript attempts to point out that one syntactic assumption inside the standard P vs NP formulation may behave inconsistently when it is expanded structurally. I would appreciate refutation, counterexamples, or clarification from those familiar with complexity theory or formal logic.
- suspended_state 9mo agoI'm not sure I understand this article, but the argument you present seems to be that when considering P and NP as relational objects, they don't have the same signature, thus cannot be compared, so the statement "P = NP" is meaningless?
- AnonymousXipang 9mo ago“Not comparable” doesn’t necessarily mean “meaningless.” Focusing on the structure behind “=” can give a different view. If you want to explore it further, a place more suited to longer, multi-angle discussion would probably work better than here.
- suspended_state 9mo agoYou should probably have linked the whole work which is briefly referenced at the end of the article, and isn't yet indexed by search engines. I found it by myself: https://zenodo.org/records/18107880 https://zenodo.org/records/18107880