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NP-complete Languages

NP-complete Languages

NP-complete Languages. Polynomial Time Reductions. Polynomial Computable function : . There is a deterministic Turing machine. such that for any string computes in polynomial time: . Observation:. since, cannot use more than tape space in time .

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641 views • 50 slides
Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation. Edmonds Conjecture in 1965. Traveling Salesman Problem cannot be solved in polynomial time. Cook introduced NP class in 1971. NP: Nondeterminastic Polynomial-time class. Extended Church-Turing Thesis.

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325 views • 32 slides
Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation. Edmonds Conjecture in 1965. Traveling Salesman Problem cannot be solved in polynomial time. Cook introduced NP class in 1971. NP: Nondeterminastic Polynomial-time class. Extended Church-Turing Thesis.

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331 views • 32 slides
Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation. Lecture 5 Time and Space of NTM. Nondeterministic TM (NTM). There are multiple choices for each transition. For each input x, the NTM may have more than one computation paths.

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457 views • 28 slides
Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation

Part II Theory of Nondeterministic Computation. Lecture 5 Time and Space of NTM. Nondeterministic TM (NTM). There are multiple choices for each transition. For each input x, the NTM may have more than one computation paths.

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372 views • 28 slides
Specification Formalisms: Temporal Logic and Automata on Infinite Words

Specification Formalisms: Temporal Logic and Automata on Infinite Words

Specification Formalisms: Temporal Logic and Automata on Infinite Words. Literature: Peled ch. 5 Mads Dam. Temporal Logic. Logic of transition system executions Propositional/first-order logic = state assertions Temporal assertions = assertions on system executions

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376 views • 26 slides
Computability and Complexity

Computability and Complexity

Computability and Complexity. Turing Machine. 3-1. Computability and Complexity Andrei Bulatov. Computability and Complexity. 3-2. What is a computation?. Alan Turing considered this question in 1936 He argued that any computation can be done using the following steps:.

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387 views • 25 slides
Computability and Complexity

Computability and Complexity

Computability and Complexity. Turing Machine. 3-1. Computability and Complexity Andrei Bulatov. Computability and Complexity. 3-2. What is a computation?. Alan Turing considered this question in 1936 He argued that any computation can be done using the following steps:.

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260 views • 25 slides
ECE 510 OCE BDDs and Their Applications Lecture 20. Sequential Verification June 1, 2000

ECE 510 OCE BDDs and Their Applications Lecture 20. Sequential Verification June 1, 2000

ECE 510 OCE BDDs and Their Applications Lecture 20. Sequential Verification June 1, 2000 Alan Mishchenko. Overview. Examples of formal verification Verifiable properties Temporal logics and CTL Implementation of CTL model checking Finite automata and L-automata ?-regular languages

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331 views • 20 slides

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