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PSPACE and beyond

PSPACE and beyond

PSPACE and beyond. Aaron Bloomfield CS 4102 Spring 2011. PSPACE. Complexity classes. An aside: L and NL. L (a.k.a. LSPACE) is the set of algorithms that can be solved by a DTM in logarithmic space

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1.01k views • 49 slides
History of Complexity

History of Complexity

History of Complexity. Lance Fortnow NEC Research Institute. History of Logic. Edited by Dirk van Dalen, John Dawson and Akihiro Kanamori. Published by Elsevier. Chapter: History of Complexity Authors: Lance Fortnow and Steve Homer This talk Lessons learned from writing this chapter.

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502 views • 36 slides
History of Complexity

History of Complexity

History of Complexity. Lance Fortnow NEC Research Institute. History of Logic. Edited by Dirk van Dalen, John Dawson and Akihiro Kanamori. Published by Elsevier. Chapter: History of Complexity Authors: Lance Fortnow and Steve Homer This talk Lessons learned from writing this chapter.

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368 views • 36 slides
Polynomial-Time Hierarchy

Polynomial-Time Hierarchy

Polynomial-Time Hierarchy. 1. Stockmeyer 2. Wrathall. Definitions. Let A ? + and B ? + for finite alphabets ? and ? . A transforms to B within logspace via f (A B via f) iff f is a transformation, f: ? + ? ? + , such that f ? logspace and x ? A?f(x) ? B for all x ? ? +.

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Alternating Turing Machine (ATM) ? node is marked accept iff any of its children is marked accept .

Alternating Turing Machine (ATM) ? node is marked accept iff any of its children is marked accept .

Alternation and Polynomial Time Hierarchy. Alternating Turing Machine (ATM) ? node is marked accept iff any of its children is marked accept . ? node is marked accept iff all of its children are marked accept . ?.

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379 views • 10 slides
Homework 8 Solutions

Homework 8 Solutions

Homework 8 Solutions. Problem 1 . Draw a diagram showing the various classes of languages that we have discussed and alluded to in terms of which class contains which other classes. Indicate (by words if necessary) which containments are not known to be strict.

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