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...=[[Neil Immerman]] | title= Descriptive Complexity|title-link= Descriptive Complexity | date=1999 | publisher=Springer | page=[https://archive.org/details/descri [[Category:Complexity classes]] ...

...rove that if some [[complexity classes]] are equal, then some other bigger classes are also equal. The proof that [[P (complexity)|P]] = [[NP (complexity)|NP]] implies [[EXP]] = [[NEXP]] uses "padding". ...

In [[computational complexity theory]], the [[complexity class]] <math>\mathsf{ELEMENTARY}</math> consists of the [[decision problem Thus, <math>\mathsf{ELEMENTARY}</math> is the union of the classes ...

In [[computational complexity theory]], an '''integer circuit''' is a [[circuit (computer science)|circui == Complexity of the membership problem == ...

The '''union theorem''' is a result from the 60s in [[computational complexity theory]]. It was published<ref name="MM"> | title = Classes of Computable Functions Defined by Bounds on Computation: Preliminary Repor ...

In [[computational complexity theory]], '''S{{su|p=''P''|b=2}}''' is a [[complexity class]], intermediate between the first and second levels of the [[polynomi ==Relationship to other complexity classes== ...

...{Cite web |url=http://qwiki.stanford.edu/index.php/Complexity_Zoo:B |title=Complexity Zoo: BPL |access-date=2011-10-04 |archive-url=https://web.archive.org/web/2 | year = 1989| citeseerx = 10.1.1.394.1662 }}</ref> is the [[complexity class]] of problems solvable in [[logarithmic space]] and [[polynomial time ...

...e|AND]], [[OR gate|OR]], and [[Majority gate]]s. For each fixed ''i'', the complexity class '''TCⁱ''' consists of all languages that can be recognized The relationship between the TC, [[NC (complexity)|NC]] and the [[AC (complexity)|AC]] hierarchy can be summarized as follows: ...

...hierarchy can be described as the class of [[boolean circuit]]s over [[NP (complexity)|NP]] predicates. A collapse of the boolean hierarchy would imply a collaps * BH₁ is [[NP (complexity class)|NP]]. ...

...lity]] and [[Computational complexity theory#Complexity classes|complexity classes]].{{fact|date=May 2016}} ...hristos Papadimitriou|Papadimitriou, Christos H.]] (1994). ''Computational Complexity'', Reading, Massachusetts: Addison-Wesley. {{ISBN|0-201-53082-1}}.</ref> ...

...ut|the area in computer science|the area in applied mathematics|Structural complexity (applied mathematics)}} ...classes.<ref name=jha>[[Juris Hartmanis]], "New Developments in Structural Complexity Theory" (invited lecture), Proc. 15th [[International Colloquium on Automat ...

{{Short description|Complexity class}} ...e journal | author = Christos Papadimitriou | year = 1994 | title = On the complexity of the parity argument and other inefficient proofs of existence | journal ...

...e]] by a [[non-deterministic Turing machine]]. It is the non-deterministic complexity class corresponding to the deterministic class [[P/poly]]. ...rministic Turing machine that has access to a polynomial-bounded [[Advice (complexity)|advice]] function. ...

...que in [[computer science]], relevant to [[Computational complexity theory|complexity theory]], that uses full memory, as well as empty memory space, to perform ...contained within [[ZPP (complexity)|ZPP]] and, importantly, contains [[TC (complexity)|TC¹]].<ref name=":1" /> ...

...to the quantum version of the [[Cook–Levin theorem]]. Quantum Hamiltonian complexity has helped physicists understand the difficulty of simulating physical syst ...au | first3 = Zeph |last4 = Shin | first4= Seung Woo |title = Hamiltonian complexity|journal = Reports on Progress in Physics|year = 2014|volume = 75|issue = 2 ...

In [[propositional calculus]] and [[proof complexity]] a '''propositional proof system''' ('''pps'''), also called a '''Cook–Rec == Relation with computational complexity theory == ...

...icit separation between the circuit classes <math>QNC^{0}</math> and [[NC (complexity)| <math>NC^{0}</math>]] (<math>QNC^{0} \nsubseteq NC^{0}</math>).<ref name= [[Category:Quantum complexity theory |Quantum complexity theory ]] ...

== Complexity and algorithmic problems == [[Circuit complexity]] attempts to classify [[Boolean function]]s with respect to the size or de ...

...ral number]]s''' are a mathematical model used in studying [[computational complexity theory]]. They are a special case of [[circuit (computer theory)|circuit]]s A natural number circuit is a [[circuit complexity|circuit]], i.e. a labelled [[directed acyclic graph]] of in-degree at most ...

| title = Quantum Complexity Theory ...ation]] between [[Complexity class|complexity classes]] [[BQP]] and [[BPP (complexity)|BPP]].<ref name="BV97"/> ...