• In computational complexity theory, EXPSPACE is the set of all decision problems solvable by a deterministic Turing machine in exponential space, i.e....
    5 KB (612 words) - 06:48, 3 June 2024
  • complexity classes in the following way: P ⊆ NP ⊆ PSPACE ⊆ EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE. Furthermore, by the time hierarchy theorem and the space hierarchy theorem...
    7 KB (991 words) - 10:42, 25 June 2024
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    to each other in the following way: L⊆NL⊆P⊆NP⊆PSPACE⊆EXPTIME⊆NEXPTIME⊆EXPSPACE (where ⊆ denotes the subset relation). However, many relationships are...
    75 KB (10,381 words) - 22:02, 28 June 2024
  • Thumbnail for PSPACE
    PSPACE}}\\{\mathsf {PSPACE\subseteq EXPTIME\subseteq EXPSPACE}}\\{\mathsf {NL\subsetneq PSPACE\subsetneq EXPSPACE}}\\{\mathsf {P\subsetneq EXPTIME}}\end{array}}}...
    7 KB (981 words) - 17:33, 16 May 2024
  • languages are all PSPACE-hard and in EXPSPACE. Spook on regular language is PSPACE-hard, but it's unknown if it's in EXPSPACE. In German, words can be formed...
    8 KB (1,086 words) - 13:50, 5 June 2024
  • the set of decision problems that can be solved by a deterministic Turing machine in space 2O(n). See also EXPSPACE. Complexity Zoo: Class ESPACE v t e...
    391 bytes (37 words) - 19:24, 3 January 2024
  • required to represent the problem. It turns out that PSPACE = NPSPACE and EXPSPACE = NEXPSPACE by Savitch's theorem. Other important complexity classes include...
    49 KB (6,717 words) - 20:27, 10 August 2024
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    NEXPTIME}}} and N P ⊊ E X P S P A C E {\displaystyle {\mathsf {NP\subsetneq EXPSPACE}}} . In terms of descriptive complexity theory, NP corresponds precisely...
    21 KB (2,787 words) - 18:41, 6 July 2024
  • Thumbnail for Go and mathematics
    currently stands, it might be PSPACE-complete, EXPTIME-complete, or even EXPSPACE-complete. Japanese ko rules state that only the basic ko, that is, a move...
    18 KB (1,727 words) - 08:55, 9 June 2024
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    problem (EXPSPACE problems) on von Neumann machines, it still grows exponentially with the size of the problem on DNA machines. For very large EXPSPACE problems...
    43 KB (4,916 words) - 23:10, 23 July 2024
  • and Jonsson have demonstrated that the problem of conformant planning is EXPSPACE-complete, and 2EXPTIME-complete when the initial situation is uncertain...
    20 KB (2,247 words) - 11:27, 25 April 2024
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    alternating Turing machine in exponential space, and is a superset of EXPSPACE. An example of a problem in 2-EXPTIME that is not in EXPTIME is the problem...
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  • Thumbnail for Petri net
    determine when it is safe to stop. In fact, this problem was shown to be EXPSPACE-hard years before it was shown to be decidable at all (Mayr, 1981). Papers...
    56 KB (7,237 words) - 06:10, 7 July 2024
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    Bounded growth Cell growth Combinatorial explosion Exponential algorithm EXPSPACE EXPTIME Hausdorff dimension Hyperbolic growth Information explosion Law...
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  • reachability problem for Petri nets, MELL entailment must be at least EXPSPACE-hard, although decidability itself has had the status of a longstanding...
    33 KB (2,919 words) - 20:37, 9 August 2024
  • {DTIME}}\left(2^{2^{n^{k}}}\right).} We know P ⊆ NP ⊆ PSPACE ⊆ EXPTIME ⊆ NEXPTIME ⊆ EXPSPACE ⊆ 2-EXPTIME ⊆ ELEMENTARY. 2-EXPTIME can also be reformulated as the space...
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  • is not context-sensitive is any recursive language whose decision is an EXPSPACE-hard problem, say, the set of pairs of equivalent regular expressions with...
    9 KB (1,340 words) - 04:37, 28 May 2024
  • planning are decidable, with known complexities ranging from NP-complete to 2-EXPSPACE-complete, and some HTN problems can be efficiently compiled into PDDL,...
    6 KB (629 words) - 10:50, 7 August 2024
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    Solvable with exponential space with linear exponent EXP Same as EXPTIME EXPSPACE Solvable with exponential space EXPTIME Solvable in exponential time FNP...
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  • {\displaystyle \bigcup _{k\in \mathbb {N} }{\mathsf {DSPACE}}(n^{k})} EXPSPACE = ⋃ k ∈ N D S P A C E ( 2 n k ) {\displaystyle \bigcup _{k\in \mathbb {N}...
    7 KB (1,047 words) - 07:21, 26 April 2023
  • MAEXP ⊆ P/poly then PSPACE = MA (see above). By padding, EXPSPACE = MAEXP, therefore EXPSPACE ⊆ P/poly but this can be proven false with diagonalization...
    14 KB (1,798 words) - 09:52, 12 August 2024
  • {\displaystyle \bigcup _{k\in \mathbb {N} }{\mathsf {NSPACE}}(n^{k})} EXPSPACE = NEXPSPACE = ⋃ k ∈ N N S P A C E ( 2 n k ) {\displaystyle \bigcup _{k\in...
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  • time classes P, EXPTIME, 2-EXPTIME,... and the space classes L, PSPACE, EXPSPACE,...; as well as the classes of the hierarchy DTIME(O(n)), DSPACE(O(n))...
    9 KB (1,348 words) - 08:52, 18 December 2023
  • constantly many alternations. E ⊆ NE ⊆ EH⊆ ESPACE, EXP ⊆ NEXP ⊆ EXPH⊆ EXPSPACE, EH ⊆ EXPH. Sarah Mocas, Separating classes in the exponential-time hierarchy...
    4 KB (689 words) - 20:35, 18 January 2024
  • proved the theorems ALOGSPACE = P AP = PSPACE APSPACE = EXPTIME AEXPTIME = EXPSPACE A S P A C E ( f ( n ) ) = ⋃ c > 0 D T I M E ( 2 c f ( n ) ) = D T I M E...
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  • exponential nondeterministic time (2-NEXP) and double exponential space (2-EXPSPACE). Completeness is under polynomial time many-to-one reductions. (Also,...
    24 KB (3,219 words) - 09:13, 12 August 2024
  • result, this provides a lower bound of the complexity. Gröbner basis is EXPSPACE-complete. The concept and algorithms of Gröbner bases have been generalized...
    61 KB (9,883 words) - 23:01, 23 July 2024
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    a Petri net is decidable. Since 1976, it is known that this problem is EXPSPACE-hard. There are results on how much to implement this problem in practice...
    8 KB (849 words) - 04:47, 31 July 2024
  • 2020. "David Wiseman Invited to Design Piece for the President's House". EXPspace RISD. Retrieved 2016-04-18. Wall Design. DAAB Books. 2007. ISBN 978-3866540101...
    20 KB (1,988 words) - 11:25, 8 August 2024
  • NPSPACE, and using Savitch's theorem to show that PSPACE = NPSPACE. PSPACE ⊊ EXPSPACE. This last corollary shows the existence of decidable problems that are...
    16 KB (2,699 words) - 22:42, 21 December 2023