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Lecture S1: Sample Lecture

Lecture S1: Sample Lecture

Lecture S1: Sample Lecture. Overview. Lecture T4: What is an algorithm? Turing machine Which problems can be solved on a computer? Not the halting problem. Here’s a question for the student to fill in the answer. Here’s the secret answer. The Main Question. P = NP. NP. P. If P  NP.

By admon
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Halting Problem

Halting Problem

Halting Problem. Background - Halting Problem. Common error: Program goes into an infinite loop. Wouldn ’ t it be nice to have a tool that would warn us that our program has this bug?. Example. Infinite loop - we get into a loop but for some reason we never get out of it. while x < 3:

By bozarth (0 views)

The Halting Problem

The Halting Problem

The Halting Problem. Sipser 4.2 (pages 173-182). Taking stock. All languages. Turing-recognizable. ?. D. Turing-decidable. Context-free languages. a n b n c n. Regular languages. 0 n 1 n. 0 * 1 *. Are there problems a computer can’t solve?!. But they seem so powerful…

By argus (163 views)

The Halting Problem

The Halting Problem

The Halting Problem. Can we design a program that, given any other program and its input, tells whether that program will halt when run on that input? Output of this program, called HALT, when applied to program P and input I, is “halts” if P(I) eventually halts

By zorita-levine (93 views)

The Halting Problem

The Halting Problem

The Halting Problem. Acceptance Problem. The Problem: Given a DFA M and an input string x does M accept on input x? We can express this problem with the predicate. The Acceptance Problem is decidable.

By penney (121 views)

The Halting Problem

The Halting Problem

The Halting Problem. Chuck Cusack Based on M. Sipser, “Introduction to the Theory of Computation,” Second Edition, Thomson/Course Technology, 2006, Chapter 4.2. An Important Problem. Have you even written a program that ran much longer than you expected?

By maryanntucker (0 views)

Halting Problem and TSP

Halting Problem and TSP

Halting Problem and TSP. Wednesday, Week 8. Background - Halting Problem. Common error: Program goes into an infinite loop. Wouldn’t it be nice to have a tool that would warn us that our program has this bug? (We could make a lot of money if we could develop such a tool!). Example.

By kueng (109 views)

The halting problem - proof

The halting problem - proof

The halting problem - proof. Review. What makes a problem decidable ? 3 properties of an efficient algorithm? What is the meaning of “ complete ”, “ mechanistic ”, and “ deterministic ”? Is the Halting Problem decidable/undecidable? How would you define the Universal Turing Machine ?.

By roddy (104 views)

Undecidability and The Halting Problem

Undecidability and The Halting Problem

Undecidability and The Halting Problem. CS 130 Theory of Computation HMU Textbook: Chap 9. Problems and Languages. Decision problems can be captured as languages Example:

By quintessa-haley (126 views)

Decidability and the Halting Problem

Decidability and the Halting Problem

Decidability and the Halting Problem. Outline. What can be computed? Can we solve all problems? Are there problems we can’t solve? We will look at the more famous halting problem. Decidable Problems. We have now defined the class of all computable algorithms

By jenaya (124 views)