Complexity Studies GCSCS , University of Groningen, NL. Social sciences footer Systems Category ...sociology In the discipline of sociology , social complexity is a Scientific theory theoretical Construct philosophy of science construct useful in the analysis of society. Contemporary definitions of complexity ... 1992. Complexity The Emerging Science at the Edge of Order and Chaos. New York, NY Simon & Schuster. ref Overview Current usage of the term complexity in the field of sociology typically refers specifically ..., social complexity and its emergence emergent properties are central recurring themes throughout the historical ... CCS MMT Eve, Raymond, Sara Horsfall and Mary E. Lee eds. 1997 . Chaos, Complexity and Sociology .... London Macmillan. ref As a theoretical tool, social complexity theory serves as a basis for the connection ... Nelson Hall. ref Research methods Research methods Methodologically , the concept of social complexity ... of system behavior arising from mathematical Complexity science complexity . By the early ... behavior. File Penrose tiling.gif thumb right Illustration of complexity Penrose tiling fractal One of the earliest usages of the term complexity , in the Social science social and behavioral sciences , to refer specifically to a complex system is found in the study of Complexity theory and organizations modern organizations and management studies . ref Kiel, L. Douglas 1994 . Managing Chaos and Complexity ... theoretical manner. ref name CCS MMT By the mid 1990s, the complexity turn ref name Urry Urry, John 2005 . The Complexity Turn. Theory, Culture and Society , 22 5 1 14. ref in social sciences begins as some of the same tools generally used in complexity science are incorporated into the social ... overviews of complexity theory within the field of sociology see Further reading Further reading . Within ... , postmodernism and critical realism . Methodologies Methodologically, social complexity is theory ... name CCS MMT The very idea of social complexity arises out of the Historical comparative research ... more details
In Computability theory computer science computability and Computational complexity theory complexity theory , ALL is the class of all decision problem s. Relations to other classes ALL contains all complexity classes of decision problems, including RE complexity RE and co RE . External links CZoo Class ALL A all ComplexityClasses Category Complexity classes es ALL clase de complejidad zh ALL ... more details
notion of reduction depends on the complexity class being studied. When studying the complexity class NP complexity NP and harder classes such as the polynomial hierarchy , Polynomial time reduction polynomial time reductions are used. When studying classes within P such as NC complexity NC and NLcomplexityNL , log space reduction s are used. Reductions are also used in computability theory ... show that a problem P is undecidable by showing that the halting problem reduces to P. The complexity classes P complexity P , NP complexity NP and PSPACE are closed under polynomial time reduction s. The complexity classes L complexity L , NLcomplexityNL , P complexity P , NP complexity NP and PSPACE ... hard for S if math forall s in S mbox . s leq A math A subset A of N is called Complete complexity ..., there are two main types of reductions used in computational complexity, the many one reduction ... complexity complete for a complexity class if every problem in the class reduces to that problem, and it is also ... of Computation The reduction must be easy, relative to the complexity of typical problems in the class ... to approximate under some complexity assumption within a factor better than for some , and there is a .... Peter B rgisser Completeness and Reduction in Algebraic Complexity Theory, Springer, 2000, ISBN 978 ... 1. DEFAULTSORT Reduction Complexity Category Computational complexity theory Category Structural complexity theory ca Reducci complexitat de Reduktion Theoretische Informatik ko he ... more details
by math x math and math y math . This class is equal to NLcomplexityNL . Deterministic ...Expert subject Computing talk Copy edit not needed date January 2012 FO is the complexity class of structures ... of descriptive complexity and is equal to the complexity class AC0 AC sup 0 sup FO regular. Various extensions of FO, formed by the addition of certain operators, give rise to other well known complexity classes, ref N. Immerman Descriptive complexity 1999 Springer ref allowing the complexity of some ... in a graph, we will have to choose two constants s start and t terminal . In descriptive complexity ... Since in a computer elements are only pointers, i.e. strings of bits, in descriptive complexity the assumptions ... be calculated in most of the small complexity classes. FO without those primitives is more studied in finite model theory, and it is equivalent to smaller complexity classes those classes are the one .... This is similar to Parameterized complexity but the size of the formula is not a fixed parameter ... complexity , FO can be shown to be equal to AC0 AC sup 0 sup , the first class in the AC complexity ... before math n k math iterations. Hence it can be shown that FO LFP P complexity P . This definition is equivalent to FO math n O 1 math . Transitive closure is NL FO TC is the set of boolean queries ... neg psi u,x math . It has been shown that this class is equal to L complexity L . Normal form Any formula ... complexity classes FO math t n math . In this section we will write math forall x P Q math to mean ... k x k, phi k math where the math phi i math s are quantifier free Complexity Zoo F FO FO formulae and math ... AC complexity AC sup i sup , and in fact FO math t n math is FO uniform AC of depth math t n math . FO math log n O 1 math is equal to NC complexity NC . FO math n O 1 math is equal to P complexity ... another way to write Complexity Zoo F fopfp FO PFP . Logic without arithmetical relations Let the successor ... machines, and computational complexity Journal of the ACM JACM archive, Volume 44 , Issue 1 January ... more details
In computational complexity theory , a certificate also called a witness is a string that certifies the answer to a computation, or certifies the membership of some string in a language. A certificate is often thought of as a solution path within a verification process, which is used to check whether a problem gives the answer Yes or No . In the decision tree model of computation, certificate complexity is the minimum number of the math n math input variables of a decision tree that need to be assigned a value in order to definitely establish the value of the Boolean function math f math . References Citation last1 Buhrman first1 Harry last2 Wolf first2 Ronald title Complexity Measures and Decision Tree Complexity A Survey year 2002 . http www.cs.princeton.edu theory complexity dectreechap.pdf Computational Complexity a Modern Approach by Sanjeev Arora and Boaz Barak Category Computational complexity theory comp sci theory stub ... more details
Effective complexity is a measure of complexity defined in a 2003 paper by Murray Gell Mann and Seth Lloyd that attempts to measure the amount of non random information in a system. ref http www.santafe.edu research publications workingpapers 03 12 068.pdf ref It has been criticised as being dependent on the subjective decisions made as to which parts of the information in the system are to be discounted as random. ref http cat.inist.fr ?aModele afficheN&cpsidt 14976916 ref See also Kolmogorov complexity Crude complexity Logical depth Total information Self dissimilarity Forecasting complexity Effective measure complexity References reflist External links http www.cs.brandeis.edu pablo complex.maker.html Category Information theory Category Computational complexity theory Comp sci theory stub ... more details
Computational Complexity may refer to Computational complexity theory Computational Complexity journal disambig Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ... more details
Synchronization complexity is a quantified attribute see also measurement of a characteristic of a concurrent software product. It measures the additional complexity incurred by the synchronization constructs used in the software, and does that by analyzing the software source code. It is essentially an extension of the cyclomatic complexity for multitasking multithreaded programs. Further reading http www.synchronizationcomplexity.com Synchronization complexity Category Software metrics soft eng stub he ... more details
Accidental complexity is complexity that arises in computer program s or their computer programming development process which is non essential to the problem to be solved. While essential complexity is inherent and unavoidable, accidental complexity is caused by the approach chosen to solve the problem. ref cite book last Holt first John title UML for systems engineering watching the wheels ISBN 978 0 86341 354 4 pages 8 publisher Institution of Engineering and Technology IET year 2004 ref While sometimes accidental complexity can be due to mistakes such as ineffective planning, or low priority placed on a project, some accidental complexity always occurs as the side effect of solving any problem. For example, the complexity caused by out of memory errors is an accidental complexity to most programs that occurs because one decided to use a computer to solve the problem. While accidental complexity is to be minimized in any good architecture, design, and implementation, excessive accidental complexity is an example of an anti pattern . References reflist Category Anti patterns Category Software project management Category Articles lacking sources from June 2009 Category All articles lacking sources comp sci stub compu prog stub es Accidental complexity it Complessit involontaria ... more details
is complete for NLcomplexityNL . Because USTCON is SL complete, most advances that impact USTCON ..., which until this time could, at best, be placed only in NLcomplexityNL , despite seeming not to require ...Inappropriate person article we inappropriately date August 2011 In computational complexity theory , SL Symmetric Logspace or Sym L is the complexity class of problems log space reducible to USTCON undirected ... showed that SL L complexity L . Origin SL was first defined in 1982 by Lewis and Papadimitriou ... was complete for SL, and proved that math mathrm L subseteq mathrm SL subseteq mathrm NL math where L complexity L is the more well known class of problems solvable by an ordinary deterministic Turing machine in logarithmic space, and NL is the class of problems solvable by nondeterministic ... issue 2 journal Computational Complexity mr 1809688 pages 123 145 title A compendium of problems complete ... to the variables that makes it true? The complement complexity complement s of all these problems ... SL , is in NL , since we can just nondeterministically guess at each vertex which vertex to visit ... s theorem gives the stronger result that NL is in DSPACE log sup 2 sup n . Although there were no uniform ... Random walks, universal traversal sequences, and the complexity of maze problems doi 10.1109 SFCS.1979.34 ... walk is continued. This showed that SL is contained in RL complexity RLP , the class of problems ... et al. also showed that SL is contained in L poly , a non uniform complexity class of the problems solvable deterministically in logarithmic space with polynomial advice complexity advice . In 1989, Borodin et al. strengthened this result by showing that the complement complexity complement .... A breakthrough October 2004 paper by Omer Reingold showed that USTCON is in fact in L complexity ... Complexity . Addison Wesley, 1994. ISBN 0 201 53082 1. div div id Sipser Michael Sipser .... div ComplexityClasses DEFAULTSORT Sl Complexity Category Complexity classes es SL clase de complejidad ... more details
Complexity management is a business methodology that deals with the analysis and optimization of complexity in enterprises. Effects of complexity pertain to all business process es along the value chain and hence complexity management requires a holism holistic approach. Effective complexity management ... over all costs and values of complexity, an approach which identifies the optimization benefits, related ... ensurement of the sustainable infrastructure such as IT tools, incentives and processes. Complexity ... analytics and simulation of complexity optimization measures and their related domino effects within the entire value chain. Fields of complexity in enterprises Complexity appears in the following ... involved Complexity in enterprises is driven by Market volatility changing market conditions like raw material supply and sales volumes drive business process complexity Fragmented customer demands drive product portfolio and feature complexity Globalization drives complexity of served markets and company locations Mergers & acquisitions drive complexity in all fields Silo oriented cultures drive complexity in organization, IT systems and business processes Increasing customer pressure drives complexity in product portfolio and features Approach Constant complexity management can result in a significant ... s largest companies are on average losing more than 1billion each due to unnecessary complexity ... date 13 March 2011 ref Reducing complexity requires subsequent activities around the four pillars strategy ... of complexity for the success of a given business model is being evaluated. If complexity has ... . Transparency Fact based transparency over the costs of complexity as well as its value is created along the entire value chain. The structure of complexity is analyzed and visualized by using tools such as variant trees or complexity funnels. Quantitative transparency regarding true contribution is established by a pragmatic activity based costing effort. Good complexity value adding is distinguished ... more details
Refimprove date January 2010 In computer science , the time complexity of an algorithm quantifies the amount ... complexity of an algorithm is commonly expressed using big O notation , which suppresses multiplicative constants and lower order terms. When expressed this way, the time complexity is said to be described ... time complexity is O n sup 3 sup . Time complexity is commonly estimated by counting the number of elementary ... with different input sizes, the most commonly used measure of time complexity, the worst case time complexity of an algorithm, denoted as T n , is the maximum amount of time taken on any input of size ... to be an exponential time algorithm. Table of common time complexities See Computational complexity ... Name Complexity class Running time T n Examples of running times Example algorithms constant time ... n n matrices. Calculating partial correlation . polynomial time P complexity P 2 sup O log n ... 0 O 2 sup log n sup log log n sup sup Assuming complexity theoretic conjectures, Bounded error ... isomorphism exponential time E complexity E 2 sup O n sup 1.1 sup n sup , 10 sup n sup Solving ..., if its time complexity is O n . Informally, this means that for large enough input sizes the running ... first Christos H. authorlink Christos H. Papadimitriou coauthors title Computational complexity ... problem Problems for which a polynomial time algorithm exists belong to the complexity class P complexity P , which is central in the field of computational complexity theory . Cobham s thesis ... Martin coauthors L szl Lov sz , Alexander Schrijver year 1988 chapter Complexity, Oracles, and Numerical ... and Complexity title Combinatorial Optimization Polyhedra and Efficiency volume 1 publisher Springer ... polynomial time should not be confused with pseudo polynomial time . Complexity classes The concept of polynomial time leads to several complexity classes in computational complexity theory. Some important classes defined using polynomial time are the following. P complexity P The complexity class ... more details
a subfield of computer science , the Kolmogorov complexity of an object, such as a piece of text ... Russian mathematician Andrey Kolmogorov . Kolmogorov complexity is also known as descriptive complexity, ref group Note Not to be confused with descriptive complexity theory , analysis of the complexity ... Chaitin complexity , algorithmic entropy , or program size complexity . For example, consider the following ... complexity of the raw file encoding this bitmap is much less than 1.62 million. More formally, the complexity ... universal description language . The sensitivity of complexity relative to the choice of description language is discussed below. It can be shown that the Kolmogorov complexity of any string cannot be more than a few bytes larger than the length of the string itself. Strings whose Kolmogorov complexity ... complexity can be used to state and prove impossibility results akin to G del s incompleteness theorem and halting problem Turing s halting problem . Definition To define Kolmogorov complexity, we ... definition of complexity yet. In this article we will use an informal approach. Any string ... is the Kolmogorov complexity of s , written K s . Symbolically, math K s d s . quad math We now consider ... the description language is bounded. Theorem . If K sub 1 sub and K sub 2 sub are the complexity ... theory is the area of computer science that studies Kolmogorov complexity and other complexity measures on strings or other data structure s . The concept and theory of Kolmogorov Complexity is based .... Kolmogorov used this theorem to define several functions of strings complexity, randomness ..., was to associate this type of complexity with Kolmogorov, who was concerned with randomness of a sequence ... of Kolmogorov complexity or algorithmic information. The most widely used one is based on self delimiting program s and is mainly due to Leonid Levin 1974 . An axiomatic approach to Kolmogorov complexity ... by Andrey Kolmogorov Burgin 1982 . Some consider that naming the concept Kolmogorov complexity ... more details
Context date October 2009 In theoretical computer science, Almost Wide Probabilistic Polynomial Time AWPP is a complexity class for problems in the context of quantum computing . AWPP contains the BQP Bounded error, Quantum, Polynomial time class, which contains the decision problem s solvable by a quantum computer in polynomial time , with an error probability of at most 1 3 for all instances. In fact, it is the best known classical upper bound for BQP. Furthermore, it is contained in the APP complexity class APP class. References references http people.cs.uchicago.edu fortnow papers quantum.pdf Provides information on the connection between various complexity classes. http eccc.hpi web.de eccc reports 2002 TR02 036 index.html Definition of AWPP and connection to APP and PP. http arxiv.org abs cs 9811023 Proof of BPQ in AWPP. Gap definable counting classes by S. Fenner, L. Fortnow, and S. Kurtz from the Journal of Computer and System Sciences. Pages 116 148, 1994, issue 48. Contains definitions. An oracle builder s toolkit by S. Fenner, L. Fortnow, S. Kurtz, and L. Li. in 8th IEEE Structure in Complexity Theory Conference Proceedings. Pages 120 131, 1993. Contains definitions. http qwiki.stanford.edu index.php Complexity Zoo A awpp Complexity Zoo Contains a list of complexity classes, including AWPP, and their relation to other classes. Category Probabilistic complexity classes Category Quantum complexity theory ... more details
In computational complexity theory , the complexity class NE is the set of decision problem s that can be solved by a non deterministic Turing machine in time Big O notation O k sup n sup for some k . NE , unlike the similar class NEXPTIME , is not closed under Polynomial time reduction polynomial time many one reduction s. See also E complexity . References ComplexityZoo NE N ne . comp sci theory stub DEFAULTSORT Ne Complexity Category Complexity classes zh NE ... more details
Logarithmic Hierarchy is the complexity class of all computational problem s solvable in a Logarithmic growth logarithmic amount of computation time on an alternating Turing machine with a bounded number of alternation. It is a special case of hierarchy of Alternating Turing machine Bounded alternation bounded alternating Turing machine . It is equal to FO complexity FO and to FO complexity FO uniform AC0 ref N. Immerman Descriptive complexity 1999 Springer , page 85. ref . The math i math th level of the Logarithmic Time Hierarchy is the set of languages recognised by alternating Turing machine in logtime with Random access Turing machine random access and math i 1 math alternation, beginning with existential state. LH is the union of all levels. References Reflist ComplexityClasses Category Complexity classes Comp sci theory stub ... more details
In computational complexity theory , P , also known as PTIME or DTIME n sup O 1 sup , is one of the most fundamental complexity class es. It contains all decision problem s which can be solved by a deterministic Turing machine using a polynomial amount of computation time , or polynomial time . Cobham s thesis holds that P is the class of computational problems which are efficiently solvable or tractable in practice, some problems not known to be in P have practical solutions, and some that are in P ... circuit s. A language L is in P if and only if there exists a Circuit complexity Polynomial ... to use only a Circuit complexity Logspace uniform logspace uniform family without changing the complexity ... The related class of function problem s is FP complexity FP . Several natural problems are complete ... Complexity year 1999 publisher Springer Verlag location New York isbn 0 387 98600 6 ref The article ... A generalization of P is NP complexity NP , which is the class of decision problem s decidable by a non ... imply P NP . P is also known to be at least as large as L complexity L , the class of problems ... , then it can be solved in deterministic polynomial time provided that an advice complexity advice ... is low complexity low for itself. This is also one of the main reasons that P is considered to be a machine ... algorithm is known for this problem. Alternative characterizations In descriptive complexity ... fixed point operator added to it. In Immerman s 1999 textbook on descriptive complexity, ref cite book last Immerman first Neil authorlink Neil Immerman title Descriptive Complexity year 1999 ... to Vardi ref cite conference last Vardi first Moshe Y. title The Complexity of Relational Query ... Christos H. Papadimitriou coauthors title Computational complexity year 1994 publisher Addison ... Complexity classes ca P Complexitat cs P t da slo itosti de P Komplexit tsklasse es P clase de complejidad fa eo P komplikeco ko P it P complessit he P nl P complexiteitsklasse ... more details
Programming complexity or software complexity is a term that encompasses numerous properties of a piece of software, all of which affect internal interactions. According to several commentators, there is a distinction between the terms complex and complicated. Complicated implies being difficult to understand but with time and effort, ultimately knowable. Complex, on the other hand, describes the interactions between a number of entities. As the number of entities increases, the number of interactions ... to know and understand all of them. Similarly, higher levels of complexity in software increase ... impossible. The idea of linking software complexity to the maintainability of the software has been ... one that uses deterministic complexity models. Measures Many measures of software complexity have been proposed. Many of these, although yielding a good representation of complexity, do not lend themselves to easy measurement. Some of the more commonly used metrics are cyclomatic complexity McCabes cyclomatic complexity metric Halstead complexity measures Halsteads software science metrics Henry ... ref which measures complexity as a function of fan in and fan out. They define fan in of a procedure ... to and from procedures that call or are called by, the procedure in question. Henry and Kafura s complexity .... They introduce six OO complexity metrics weighted methods per class, coupling between object classes ... There are several other metrics that can be used to measure programming complexity Branching complexity Sneed Metric Data access complexity Card Metric Data complexity Chapin Metric Data flow complexity Elshof Metric Decisional complexity McClure Metric Types Associated with, and dependent on the complexity of an existing program, is the complexity associated with changing the program. The complexity ... complexity 1 nowiki nowiki . ref Accidental complexity Relates to difficulties a programmer faces ... language may reduce it. Essential complexity Is caused by the characteristics of the problem ... more details
Intelligent Design Specified complexity is an argument proposed by William Dembski and used by him and others ... by Dembski. Dembski states that specified complexity is a reliable marker of design by an intelligent ... modern evolutionary theory . The concept of specified complexity is widely regarded as mathematically ... Intelligencer, Vol. 23, No. 4, Fall 2001, pp. 3 8. ref Specified complexity is one of the two main arguments used by intelligent design proponents, the other being irreducible complexity . In Dembski ... complexity to exist in patterns displayed by configurations formed by unguided processes. Therefore ... complexity. In intelligent design literature, an intelligent designer intelligent agent is one that chooses ... 1999. ref Specified complexity is what Dembski terms an explanatory filter which can recognize ... also reject applying specified complexity to infer design as an argument from ignorance . Definition Orgel s original use The term specified complexity was originally coined by origin of life researcher ..., living organisms are distinguished by their specified complexity. Crystals are usually taken ... because they lack complexity the mixtures of polymers fail to qualify because they lack specificity ... by physicist Paul Davies in a similar manner blockquote Living organisms are mysterious not for their complexity per se, but for their tightly specified complexity ref Paul Davies 1999 . The Fifth Miracle p. 112 ref blockquote Dembski s definition For Dembski, specified complexity is a property ... Inference . Specified complexity is fundamental to his approach to intelligent design, and each ..., if there is a way to detect design, specified complexity is it. ref William A. Dembski 2002 . No Free Lunch book No Free Lunch , p. 19. ref Dembski asserts that specified complexity is present ... Design , p. 85. ref Anything below this bound has CSI. The terms specified complexity and complex specified ... complexity in a closed system of natural causes remains constant or decreases. The specified ... more details
unsolved computer science Is NC P ? In computational complexity theory complexity theory , the class NC for Nick s Class is the set of decision problem s decidable in polylogarithmic time on a parallel computing parallel computer with a polynomial number of processors. In other words, a problem is in NC if there exist constants c and k such that it can be solved in time Big O notation O log sup c sup n using Big O notation O n sup k sup parallel processors. Stephen Cook coined the name Nick s class after Nick Pippenger , who had done extensive research on circuits with polylogarithmic depth and polynomial size. Just as the class P complexity P can be thought of as the tractable problems Cobham s thesis , so NC can be thought of as the problems that can be efficiently solved on a parallel computer. NC is a subset of P because polylogarithmic parallel computations can be simulated by polynomial time sequential ones. It is unknown whether NC P , but most researchers suspect this to be false, meaning that there are probably some tractable problems which are inherently sequential and cannot significantly be sped up by using parallelism. Just as the class NP Complete can be thought ... from the length of the input with polylogarithmic depth and a polynomial number of gates. RNC complexity ... textbf NC math which forms the NC hierarchy. We can relate the NC classes to the space classes L complexity L and NLcomplexityNL . From Papadimitriou 1994, Theorem 16.1 math mathbf NC 1 subseteq mathbf L subseteq mathbf NL subseteq mathbf NC 2 subseteq mathbf P . math Similarly, we have that NC is equivalent ... in computational complexity theory complexity theory is whether or not every containment in the NC ... Theory . ISBN 0 19 508591 4 Heribert Vollmer. Introduction to Circuit Complexity A Uniform ... Complexity publisher Addison Wesley edition 1st edition isbn 0 201 53082 1 Section 15.3 The class NC ... DEFAULTSORT Nc Complexity Category Complexity classes Category Circuit complexity de NC Komplexit tsklasse ... more details
In computational complexity theory , EQP sometimes called QP , which stands for exact quantum polynomial time, is the class of decision problems solvable by a quantum computer which outputs the correct answer with probability 1 and runs in polynomial time with probability 1. It is the quantum analogue of the complexity class P complexity P . In other words, there is an algorithm for a quantum computer a quantum algorithm that solves the decision problem exactly and is guaranteed to run in polynomial time. References references CZoo EQP E eqp quantum computing ComplexityClasses Category Quantum complexity theory ... more details
In computational complexity theory , the complexity class PH is the union of all complexity classes in the polynomial hierarchy math mbox PH bigcup k in mathbb N Delta k mbox P math PH was first defined by Larry Stockmeyer . It is a special case of hierarchy of Alternating Turing machine Bounded alternation bounded alternating Turing machine . It is contained in P sup P sup P sup PP sup by Toda s theorem the class of problems that are decidable by a polynomial time Turing machine with access to a Sharp P P or equivalently PP complexity class PP oracle machine oracle , and also in PSPACE . PH has a simple descriptive complexity logical characterization it is the set of languages expressible by second order logic . PH contains almost all well known complexity classes inside PSPACE in particular, it contains P complexity P , NP complexity NP , and co NP . It even contains probabilistic classes such as Bounded error probabilistic polynomial BPP and RP complexity RP . However, there is some evidence that BQP , the class of problems solvable in polynomial time by a quantum computer , is not contained in PH Aaronson 2010 . P NP if and only if P PH . This may simplify a potential proof of P NP , since it s only necessary to separate P from the more general class PH . References Larry J. Stockmeyer , The polynomial hierarchy , Theoretical Computer Science , Vol. 3 1976 , pp. 1 22. Scott Aaronson , BQP and the Polynomial Hierarchy, ACM STOC 2010 , arxiv 0910.4698 , ECCC 2009 09 104 . CZoo PH P ph ComplexityClasses Category Complexity classes comp sci theory stub es PH clase de complejidad ko PH ja PH ru PH zh PH ... more details
File P np np complete np hard.svg thumb 300px right Euler diagram for P complexity P , NP complexity NP , NP complete NP complete , and NP hard set of problems. The existence of problems within NP but outside both P and NP complete, under this assumption, was Ladner s theorem established by Ladner . ref R. E. Ladner On the structure of polynomial time reducibility, J.ACM, 22, pp. 151&ndash 171, 1975. Corollary 1.1. http portal.acm.org citation.cfm?id 321877&dl ACM&coll &CFID 15151515&CFTOKEN 6184618 ACM site . ref In computational complexity theory , NP is one of the most fundamental complexity class es. The abbreviation NP refers to Nondeterministic algorithm nondeterministic polynomial time ... books.google.com books?id SPx4iHZEOugC&lpg PP1&pg PA283 v onepage&q&f false p. 283 ref The complexity class P complexity P is contained in NP , but NP contains many important problems, the hardest of which ... in complexity theory, the P NP problem P NP problem , asks whether such algorithms actually exist ... 1052796.1052804 format PDF accessdate 2008 12 29 ref Formal definition The complexity class NP ... problems in P complexity P For, given a certificate for a problem in P , we can ignore the certificate .... Relationship to other classes NP contains all problems in P complexity P , since one can verify any ... , since the same algorithm operates in exponential time. The complement complexity complement of NP ... is FNP complexity FNP . Other characterizations In terms of descriptive complexity theory , NP corresponds ... because the verifier cannot accept if there is no acceptable proof string. A major result of complexity ... Scientist primer on traditional and recent complexity theory research http www.americanscientist.org issues pub accidental algorithms Accidental Algorithms ComplexityClasses DEFAULTSORT Np Complexity Category Complexity classes ar bs NP klasa kompleksnosti bg NP ca NP Complexitat ... NP it NP complessit he NP nl NP complexiteitsklasse ja NP pl Problem NP pt NP complexidade ... more details
This article covers irreducible complexity as used by those who argue for intelligent design . For information on irreducible complexity as used in Systems Theory , see Irreducible complexity Emergence . Intelligent Design Irreducible complexity IC is an argument by proponents of intelligent design that certain ... complexity has been refuted in peer reviewed research papers and has been rejected by the scientific ... about things like irreducible complexity br cite book author Shulman, Seth title Undermining science ... explicitly rejecting intelligent design ref Irreducible complexity is one of two main arguments used by intelligent design proponents, the other being specified complexity . ref name LiveScience msnbc.com ... complexity , defines an irreducibly complex system as one composed of several well matched ... Complexity and Michael Behe retrieved 8 January 2006 ref Evolutionary biologists have shown that such systems ... testimony on the subject of irreducible complexity. The court found that Professor Behe s claim for irreducible complexity has been refuted in peer reviewed research papers and has been rejected by the scientific community at large. ref name dover behe ruling Definitions The term irreducible complexity ..., the debate on irreducible complexity concerns two questions whether irreducible complexity can ... or more necessary but unselected mutations . The degree of irreducible complexity is the number ... Lunch Why Specified Complexity Cannot Be Purchased without Intelligence. by William Dembski pp .... History Forerunners The argument from irreducible complexity is a descendant of the teleological argument for God the argument from design or from complexity . This states that because certain things ... 1802 watchmaker analogy , that complexity in nature implies a God for the same reason that the existence ... complexity 22 intitle problem intitle of intitle generation inauthor smith v onepage&q 22irreducible ... forces can ratchet up designs of extraordinary complexity without invoking outside design, Darwin ... more details
orphan date August 2009 Integrative complexity is a research Psychometrics psychometric that refers to the degree to which thinking and reasoning involve the recognition and integration of multiple Perspective cognitive perspectives and possibilities and their interrelated Contingency contingencies . ref http www.stanford.edu group diversity coding.htm Integrative Complexity Bot generated title ref Integrative complexity is a measure of the intellectual style used by individuals or groups in processing information, problem solving , and decision making . Complexity looks at the structure of one s thoughts, while ignoring the contents. It is scorable from almost any Language verbal materials Writing written materials, such as book s, Article publishing articles , Letter message letters , and transcript as well as audio visual material. The measure of integrative complexity has two components differentiation and integration. Differentiation refers to the perception of different dimension s when considering an issue. Integration refers to the Recall memory recognition of cognitive connections among differentiated dimensions or perspectives. ref http www.psych.ubc.ca psuedfeld CXY.html Suedfeld s Integrative Complexity Research Bot generated title ref In a 1988 study it was demonstrated that changes in Integrative Complexity could be potentially used in international violence prediction . ref http jcr.sagepub.com cgi content abstract 32 4 626 Changes in Integrative Complexity Prior to Surprise Attacks, J. of Conflict Resolution 32 4 by Suedfeld and Bluck 1988 . ref These findings were seen again a 1995 article by Guttieri, Wallace, and Suedfeld looking at the Cuban Missile Crisis . ref http jcr.sagepub.com cgi content abstract 39 4 595 The Integrative Complexity of American Decision Makers in The Cuban Missile Crisis, J. of Conflict Resolution 39 4 . ref References reflist Category Experimental psychology psych stub ... more details
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