PSPACE-complete: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
en>Yobot
m WP:CHECKWIKI error fixes using AWB (9475)
en>Rjwilmsi
m →‎References: Journal cites, Added 1 doi to a journal cite using AWB (10331)
 
Line 1: Line 1:
In [[computational complexity theory|complexity theory]], '''EXPSPACE''' is the [[Set (mathematics)|set]] of all [[decision problem]]s solvable by a deterministic [[Turing machine]] in [[big O notation|O]](2<sup>''p''(''n'')</sup>) space, where ''p''(''n'') is a polynomial function of ''n''. (Some authors restrict ''p''(''n'') to be a [[linear function]], but most authors instead call the resulting class '''[[ESPACE]]'''.) If we use a nondeterministic machine instead, we get the class '''NEXPSPACE''', which is equal to '''EXPSPACE''' by [[Savitch's theorem]].
When buying flower gifts, you generally consider exactly what the occasion or celebration is about. No should  anything, [https://fusechicken.Zendesk.com/entries/42192165-Lavender-Oil zendesk.com], visit the shops: This is one in the main great things about choosing same day flower delivery kolkata services.<br>If you live in or throughout the Ithaca, New York area, visit one of such highly recommend florists for many of your floral needs. One can send these flowers to his partner, lover, buddy or business associate and express his good plans toward them.<br><br>


In terms of '''[[DSPACE]]''' and '''[[NSPACE]]''',
[http://Conitphutthoi.com/create-a-martha-stewart-flowers-promotion-code-a-high-school-bully-would-be-afraid-of/ conitphutthoi.com]It is recommended to turn into a member of the [http://www.dinnerfor6.com/home/blog/view/32400/how-to-restore-ftd-shipping-coupons online marketing] platform at. Terence Reed can be an Academic Writing Specialist, utilizing a2z - Essays ( serve an easy  [https://theartscentregc.zendesk.com/entries/51158670-Improving-Your-Self-Esteem-With-Nurturing-Aromatherapy-Blends edible arrangements] body of  [http://support.kliktoday.com/entries/40457879-Say-Bye-Bye-To-Stereotype-Diwali-Celebrations-Begin- cheap same day flower delivery] students with their term papers. Kaboom coupons [http://Deliveryedoctor.Artician.com/ 1800 flowers reviews] While your statement simmers, let your [http://petmatch.designsbyrenee.com/groups/hidden-answers-to-stop-and-shop-flowers-revealed/ mind wander] within the ingredients you assembled in Step One. ***Please follow Michelle on Twitter to stay as much as date with the latest news, teaching tips, parenting ideas and travel tips.
 
:<math>\mbox{EXPSPACE} = \bigcup_{k\in\mathbb{N}} \mbox{DSPACE}(2^{n^k}) = \bigcup_{k\in\mathbb{N}} \mbox{NSPACE}(2^{n^k})</math>
 
A decision problem is '''EXPSPACE-complete''' if it is in '''EXPSPACE''', and every problem in '''EXPSPACE''' has a [[polynomial-time many-one reduction]] to it.  In other words, there is a polynomial-time [[algorithm]] that transforms instances of one to instances of the other with the same answer.  '''EXPSPACE-complete''' problems might be thought of as the hardest problems in '''EXPSPACE'''.
 
'''EXPSPACE''' is a strict superset of '''[[PSPACE]]''', '''[[NP (complexity)|NP]]''', and '''[[P (complexity)|P]]''' and is believed to be a strict superset of '''[[EXPTIME]]'''.
 
An example of an '''EXPSPACE-complete''' problem is the problem of recognizing whether two [[regular expression]]s represent different languages, where the expressions are limited to four operators: union, [[concatenation]], the [[Kleene star]] (zero or more copies of an expression), and squaring (two copies of an expression).<ref>Meyer, A.R. and [[Larry Stockmeyer|L. Stockmeyer]]. [http://people.csail.mit.edu/meyer/rsq.pdf The equivalence problem for regular expressions with squaring requires exponential space]. ''13th IEEE Symposium on Switching and Automata Theory'', Oct 1972, pp.125&ndash;129.</ref>
 
If the Kleene star is left out, then that problem becomes '''[[NEXPTIME]]-complete''', which is like '''EXPTIME-complete''', except it is defined in terms of [[non-deterministic Turing machine]]s rather than deterministic.
 
It has also been shown by L. Berman in 1980 that the problem of verifying/falsifying any [[first-order logic|first-order]] statement about [[real number]]s that involves only [[addition]] and comparison (but no [[multiplication]]) is in '''EXPSPACE'''.
 
==See also==
*[[Game complexity]]
 
== References ==
 
<references />
* L. Berman ''The complexity of logical theories'', Theoretical Computer Science 11:71-78, 1980.
* {{cite book|author = [[Michael Sipser]] | year = 1997 | title = Introduction to the Theory of Computation | publisher = PWS Publishing | isbn = 0-534-94728-X}} Section 9.1.1: Exponential space completeness, pp.&nbsp;313&ndash;317. Demonstrates that determining equivalence of regular expressions with exponentiation is EXPSPACE-complete.
 
{{ComplexityClasses}}
 
[[Category:Complexity classes]]

Latest revision as of 08:36, 8 August 2014

When buying flower gifts, you generally consider exactly what the occasion or celebration is about. No should anything, zendesk.com, visit the shops: This is one in the main great things about choosing same day flower delivery kolkata services.
If you live in or throughout the Ithaca, New York area, visit one of such highly recommend florists for many of your floral needs. One can send these flowers to his partner, lover, buddy or business associate and express his good plans toward them.

conitphutthoi.comIt is recommended to turn into a member of the online marketing platform at. Terence Reed can be an Academic Writing Specialist, utilizing a2z - Essays ( serve an easy edible arrangements body of cheap same day flower delivery students with their term papers. Kaboom coupons 1800 flowers reviews While your statement simmers, let your mind wander within the ingredients you assembled in Step One. ***Please follow Michelle on Twitter to stay as much as date with the latest news, teaching tips, parenting ideas and travel tips.