an introduction to kolmogorov complexity and its applications texts in computer science

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An Introduction To Kolmogorov Complexity And Its Applications

Author : Ming Li
ISBN : 0387498206
Genre : Mathematics
File Size : 44. 49 MB
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“The book is outstanding and admirable in many respects. ... is necessary reading for all kinds of readers from undergraduate students to top authorities in the field.” Journal of Symbolic Logic Written by two experts in the field, this is the only comprehensive and unified treatment of the central ideas and applications of Kolmogorov complexity. The book presents a thorough treatment of the subject with a wide range of illustrative applications. Such applications include the randomness of finite objects or infinite sequences, Martin-Loef tests for randomness, information theory, computational learning theory, the complexity of algorithms, and the thermodynamics of computing. It will be ideal for advanced undergraduate students, graduate students, and researchers in computer science, mathematics, cognitive sciences, philosophy, artificial intelligence, statistics, and physics. The book is self-contained in that it contains the basic requirements from mathematics and computer science. Included are also numerous problem sets, comments, source references, and hints to solutions of problems. New topics in this edition include Omega numbers, Kolmogorov–Loveland randomness, universal learning, communication complexity, Kolmogorov's random graphs, time-limited universal distribution, Shannon information and others.

Computer Science Theory And Applications

Author : Volker Diekert
ISBN : 9783540745105
Genre : Computers
File Size : 32. 26 MB
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This book features the refereed proceedings of the 2nd International Symposium on Computer Science in Russia held in September 2007. The 35 papers cover theory track deals with algorithms, protocols, and data structures; complexity and cryptography; formal languages, automata and their applications to computer science; computational models and concepts; proof theory; and applications of logic to computer science. Many applications are presented.

Formal Languages Automata And Numeration Systems 1

Author : Michel Rigo
ISBN : 9781119008224
Genre : Computers
File Size : 81. 62 MB
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Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.

15th Annual Ieee Conference On Computational Complexity

Author : IEEE Computer Society. Technical Committee on Mathematical Foundations of Computing
ISBN : 0769506755
Genre : Computational complexity
File Size : 68. 36 MB
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Proceedings

Author : IEEE Computer Society. Technical Committee on Mathematical Foundations of Computing
ISBN : 0769506755
Genre : Computational complexity
File Size : 62. 44 MB
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Superintelligence

Author : Nick Bostrom
ISBN : 9780191666834
Genre : Computers
File Size : 30. 89 MB
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The human brain has some capabilities that the brains of other animals lack. It is to these distinctive capabilities that our species owes its dominant position. Other animals have stronger muscles or sharper claws, but we have cleverer brains. If machine brains one day come to surpass human brains in general intelligence, then this new superintelligence could become very powerful. As the fate of the gorillas now depends more on us humans than on the gorillas themselves, so the fate of our species then would come to depend on the actions of the machine superintelligence. But we have one advantage: we get to make the first move. Will it be possible to construct a seed AI or otherwise to engineer initial conditions so as to make an intelligence explosion survivable? How could one achieve a controlled detonation? To get closer to an answer to this question, we must make our way through a fascinating landscape of topics and considerations. Read the book and learn about oracles, genies, singletons; about boxing methods, tripwires, and mind crime; about humanity's cosmic endowment and differential technological development; indirect normativity, instrumental convergence, whole brain emulation and technology couplings; Malthusian economics and dystopian evolution; artificial intelligence, and biological cognitive enhancement, and collective intelligence. This profoundly ambitious and original book picks its way carefully through a vast tract of forbiddingly difficult intellectual terrain. Yet the writing is so lucid that it somehow makes it all seem easy. After an utterly engrossing journey that takes us to the frontiers of thinking about the human condition and the future of intelligent life, we find in Nick Bostrom's work nothing less than a reconceptualization of the essential task of our time.

Annual Symposium On Theoretical Aspects Of Computer Science

Author :
ISBN : UOM:39015058765796
Genre : Computer science
File Size : 75. 61 MB
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Acta Scientiarum Mathematicarum

Author : József Attila Tudományegyetem
ISBN : UCAL:B4477833
Genre : Mathematics
File Size : 45. 24 MB
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Proceedings

Author :
ISBN : 0818683961
Genre : Computational complexity
File Size : 46. 97 MB
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Proceedings Of The Annual Structure In Complexity Theory Conference

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ISBN : UOM:39015030247038
Genre : Computational complexity
File Size : 36. 86 MB
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