WebComputability and Complexity 14-1 Cook’s Theorem Computability and Complexity Andrei Bulatov Computability and Complexity 14-2 Cook – Levin Theorem Theorem (Cook – Levin) Satisfiability is NP-complete Definition A language L is said to be NP-complete if L NP and, for any A NP, A L Computability and Complexity 14-3 Proof (Main Idea) Let A be a … WebThe Complexity of Theorem-Proving Procedures Stephen A. Cook University of Toronto Summary It is shown that any recognition problem solved by a polynomial time-bounded …
Cook–Levin theorem - Wikipedia
WebIt is shown that any recognition problem solved by a polynomial time-bounded nondeterministic Turing machine can be “reduced” to the problem of determining whether a given propositional formula is a tautology. Web15.1 Proof of the Cook-Levin Theorem: SAT is NP-complete Already know SAT 2NP, so only need to show SAT is NP-hard. Let L be any language in NP. Let M be a NTM that decides L in time nk. We define a polynomial-time reduction f L: inputs 7!formulas such that for every w, M accepts input w iff f L(w) is satisfiable Reduction via “computation ... the army is rolling along
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