'Membership problem' diaporamas de présentation

Reductions

Reductions. Problem is reduced to problem. If we can solve problem then we can solve problem. Definition:. Language is reduced to language There is a computable function ( reduction ) such that:. Recall:. Computable function :.

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Reductions

Reductions. Computable function :. There is a deterministic Turing machine. which for any input string computes and writes it on the tape. Problem is reduced to problem. If we can solve problem then we can solve problem. Definition:. Language

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The Chomsky Hierarchy

The Chomsky Hierarchy. Unrestricted Grammars:. Productions. String of variables and terminals. String of variables and terminals. Example unrestricted grammar:. Theorem:. A language is recursively enumerable if and only if is generated by an unrestricted grammar.

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The Chomsky Hierarchy

The Chomsky Hierarchy. The Chomsky Hierarchy. Non-recursively enumerable. Recursively-enumerable. Recursive. Context-sensitive. Context-free. Regular. Decidability. Consider problems with answer YES or NO . Examples:. Does Machine have three states ?.

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Testing Extended Regular Language Membership Incrementally by Rewriting

Testing Extended Regular Language Membership Incrementally by Rewriting. Grigore Rosu Mahesh Viswanathan University of Illinois at Urbana-Champaign, USA. Increasing Software Reliability. Current solutions Human review of code and testing Most used in practice

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Introduction to Automata Theory

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Post's Correspondence Problem Word Problem in semi-Thue Systems

Hector Miguel Chavez Western Michigan University Jun 10, 2009. Post's Correspondence Problem Word Problem in semi-Thue Systems. Post's Correspondence Problem. An instance of the Post's Correspondence Problem (PCP) consists of two lists of strings over some alphabet ?;

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Post's Correspondence Problem Word Problem in semi-Thue Systems

Hector Miguel Chavez Western Michigan University Jun 10, 2009. Post's Correspondence Problem Word Problem in semi-Thue Systems. Post's Correspondence Problem. An instance of the Post's Correspondence Problem (PCP) consists of two lists of strings over some alphabet ?;

372 views • 21 slides

Post's Correspondence Problem Word Problem in semi-Thue Systems

Hector Miguel Chavez Western Michigan University Jun 10, 2009. Post's Correspondence Problem Word Problem in semi-Thue Systems. Post's Correspondence Problem. An instance of the Post's Correspondence Problem (PCP) consists of two lists of strings over some alphabet ?;

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On Learning Regular Expressions and Patterns via Membership and Correction Queries

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PRAM model Lecture 3

PRAM model Lecture 3 . Efficient Parallel Algorithms COMP308. PRAM . 1. 2. P 1. 3. PRAM - Parallel Random Access Machine Shared-memory multiprocessor unlimited number of processors, each has unlimited local memory knows its ID able to access the shared memory in constant time

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