On P Versus NP
This resolves the fundamental P vs NP problem in computer science, showing that NP-complete problems are intractable.
The paper proves that the CLIQUE problem cannot be solved in polynomial time by any deterministic Turing machine, establishing P ≠ NP since CLIQUE is NP-complete.
It is shown that graph-theoretic problem CLIQUE can't be solved in polynomial time by any deterministic TM. This upgrades the well-known partial result that claims only monotone unsolvability thereof, and eventually implies P $\neq$ NP as CLIQUE is NP-complete. This paper essentially simplifies my previous presentation that used more complex models of computation based on standard Boolean semantics while fixing technical errors spotted by a generic proof assistant Isabelle that has been implemented by René Thiemann.