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Topic: NPSPACE


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In the News (Tue 29 Dec 09)

  
  308-506 Lecture Notes for 4 Dec 2001
Along the way we prove PSPACE equal to NPSPACE and to AP, alternating polynomial time.
We can translate the acceptance of an NPSPACE machine into a reachability problem just as Pascal did for NL machines last lecture.
We now finish our treatment of PSPACE completeness by revisiting the regular expression inequivalence language REI, consisting of pairs of regular expressions (R,S) such that L(R) and L(S) are not the same language.
www.cs.mcgill.ca /~barring/notes/21.htm   (2798 words)

  
 NSPACE - Wikipedia, the free encyclopedia
In computational complexity theory, the complexity class NSPACE(f(n)) is the set of decision problems that can be solved by a non-deterministic Turing machine using space O(f(n)), and unlimited time.
The complexity class NPSPACE can be defined in terms of NSPACE as follows:
This page was last modified 22:45, 26 May 2005.
en.wikipedia.org /wiki/NSPACE   (68 words)

  
 Computational Complexity: Favorite Theorems: P = NP for Space
As a consequence you get PSPACE=NPSPACE, which is why you don't see NPSPACE in the zoo.
Chandra, Kozen and Stockmeyer used a modification of the Savitch algorithm to show that polynomial space can be simulated in alternating polynomial time.
In order for the theorem to alter your mind, you must have had some incorrect preconceived notion.
weblog.fortnow.com /2005/07/favorite-theorems-p-np-for-space.html   (2696 words)

  
 CS37R   (Site not responding. Last check: 2007-10-23)
Show languages to be undecidable by Turing reductions.
Define the complexity classes P, NP, L, NL, PSPACE and NPSPACE.
Show algorithms to be NP-hard by polynomial time reductions.
www.mona.uwi.edu /fpas/cs37r.htm   (328 words)

  
 Languages   (Site not responding. Last check: 2007-10-23)
Intuitively, it means that solutions can be verified in polynomial time because the machine magically knows which choices to make while trying to make the decision.
The class PSPACE is the set of languages that can be decided with no more than a polynomial amount of storage space during the execution of the algorithm (NPSPACE
The class EXPTIME is the set of languages that can be decided in time
msl.cs.uiuc.edu /planning/node313.html   (339 words)

  
 Lecture 12 for Comp Sc 341s   (Site not responding. Last check: 2007-10-23)
Review nondeterminism in finite automata and general TM's, define it for space-bounded and time-bounded machines, defining the classes NL, NP, and NPSPACE,
Describe poly-time solutions to the reachability problem using depth-first or breadth-first search, noting that these are space-intensive,
***recall NFA's and NDTM's, various interpretations of "w in L(M)" when M is nondeterministic (probability greater than zero, omniscient player giving M's moves, M guessing correct moves), extension of nondeterminism to time and space bounds, define NL, NP, NPSPACE***
www.mtholyoke.edu /courses/barring/341/lecture/12.htm   (364 words)

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