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Halting problem - PowerPoint PPT Presentation


Reducibility

Reducibility

Giorgi Japaridze Theory of Computability. Reducibility. Chapter 5. 5.1.a. Giorgi Japaridze Theory of Computability. The undecidability of the halting problem. Let HALT TM = {<M,w> | M is a TM and M halts on input w} HALT TM is called the halting problem . .

By graceland
(459 views)

Overview of the theory of computation

Overview of the theory of computation

Overview of the theory of computation. Episode 3. Turing machines The traditional concepts of computability, decidability and recursive enumerability The limitations of the power of Turing machines The Church-Turing thesis Mapping reducibilty Turing reducibility

By christmas
(271 views)

Halting Problem

Halting Problem

Halting Problem. Introduction to Computing Science and Programming I. Alan Turing. Alan Turing 1912-1954 “Father” of modern computing science 1936 Turing Machine Church-Turing thesis Halting Problem 1950: Turing Test. Turing Machine.

By guinevere
(338 views)

FORMAL LANGUAGES, AUTOMATA, AND COMPUTABILITY

FORMAL LANGUAGES, AUTOMATA, AND COMPUTABILITY

15-453. FORMAL LANGUAGES, AUTOMATA, AND COMPUTABILITY. * Read chapter 4 of the book for next time * . Lecture9x.ppt. REVIEW. A Turing Machine is represented by a 7-tuple T = (Q, Σ , Γ , , q 0 , q accept , q reject ): . Q is a finite set of states.

By felix
(144 views)

CSE115/ENGR160 Discrete Mathematics 03/10/11

CSE115/ENGR160 Discrete Mathematics 03/10/11

CSE115/ENGR160 Discrete Mathematics 03/10/11. Ming-Hsuan Yang UC Merced. 3.3 Complexity of algorithms. Algorithm Produce correct answer Efficient Efficiency Execution time (time complexity) Memory (space complexity) Space complexity is related to data structure . Time complexity.

By weylin
(223 views)

Undecidable Problems (unsolvable problems)

Undecidable Problems (unsolvable problems)

Undecidable Problems (unsolvable problems). Decidable Languages. Recall that: A language is decidable , if there is a Turing machine ( decider ) that accepts the language and halts on every input string. Decision On Halt:. Turing Machine. YES. Accept.

By Antony
(136 views)

Undecidable Problems (unsolvable problems)

Undecidable Problems (unsolvable problems)

Undecidable Problems (unsolvable problems). Decidable Languages. Recall that: A language is decidable , if there is a Turing machine ( decider ) that accepts the language and halts on every input string. Decision On Halt:. Turing Machine. YES. Accept.

By Gabriel
(238 views)

Reducibility

Reducibility

Reducibility. Sipser 5.1 (pages 187-198). Reducibility. Driving directions. Boston. Cambridge. Western Mass. If you can’t drive to London…. If something’s impossible…. Theorem 4.11: A TM = { < M,w > | M is a TM and M accepts w } is undecidable . Define: HALT TM =

By quito
(168 views)

Projects Schedule

Projects Schedule

Projects Schedule. By Tuesday, October 18: Project “abstract” due By Thursday October 20: Feedback from me Week of October 24: Present project abstract to class Month of November: Time in class for help on projects December 9: Final paper due. Brainstorming on projects. Computation.

By izzy
(204 views)

Decidability in One Day – or maybe two (I can’t decide)

Decidability in One Day – or maybe two (I can’t decide)

Decidability in One Day – or maybe two (I can’t decide). CS 331, Tandy Warnow Some slides by Luay Nakhleh , Rice University. Outline. Countability and uncountability What is decidability? There has to be a language that is not decidable An example of a language that is not decidable

By vivian
(129 views)

NP – HARD

NP – HARD

NP – HARD . JAYASRI JETTI CHINMAYA KRISHNA SURYADEVARA. P and NP. P – The set of all problems solvable in polynomial time by a deterministic Turing Machine (DTM). Example: Sorting and searching. P and NP.

By senona
(165 views)

NP-Hard

NP-Hard

NP-Hard. Nattee Niparnan. Easy & Hard Problem. What is “difficulty” of problem? Difficult for computer scientist to derive algorithm for the problem? Difficult for computer to solve (run the derived algorithm) the problem?. Basic Intuition.

By elke
(84 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)

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
(166 views)

600.103 Solutions to Homework #1

600.103 Solutions to Homework #1

600.103 Solutions to Homework #1. Kenneth.Church@jhu.edu. Sqrt (4) . Newton’s Method. x1 > 0  2 x1 < 0  -2 x1 = 0  NaN. R & Fib. F(15)=610. Halting Problem. What does this have to do with computability? The Halting Problem demonstrates that you cannot compute everything

By gwidon
(142 views)

Program Slicing for Refactoring

Program Slicing for Refactoring

Program Slicing for Refactoring. Advanced SW Tools Seminar. Jan 2005 Yossi Peery. Agenda. Slicing Overview Slicing Algorithms Slicing with Inference Rules Refactoring Overview Slice Extraction Refactoring Example NATE – Slicing Based Refactoring Tool. Starter.

By werner
(154 views)

Circuit Complexity meets the Theory of Randomness

Circuit Complexity meets the Theory of Randomness

Circuit Complexity meets the Theory of Randomness. SUNY Buffalo, November 11, 2010. Today’s Goal:. To raise awareness of the tight connection between two fields: Circuit Complexity Kolmogorov Complexity (the theory of randomness) And to show that this is useful.

By stefan
(134 views)

Chapter 12 Theory of Computation

Chapter 12 Theory of Computation

Chapter 12 Theory of Computation. Introduction to CS 1 st Semester, 2014 Sanghyun Park. Outline. Functions and Their Computation Turing Machines Universal Programming Languages A Noncomputable Function Complexity of Problems. Functions and Their Computation.

By elwyn
(209 views)

Reducibility

Reducibility

Reducibility. Problem is reduced to problem. If we can solve problem then we can solve problem. Problem is reduced to problem. If is decidable then is decidable. If is undecidable then is undecidable. Example:. the halting problem. is reduced to.

By vila
(159 views)

Computability Decidability

Computability Decidability

Computability Decidability. Unsolvable problems. Computer scientists usually deal with problems which are solvable. We are supposed to find an algorithm to solve a particular problem. Why do we need to know about problems which are unsolvable ?

By cael
(405 views)

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