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Recursion theory
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ISBN: 3540570934 0387570934 3662223783 9783540570936 Year: 1993 Volume: 1 Publisher: Berlin: Springer,

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Recursion theory for metamathematics
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ISBN: 019508232X Year: 1993 Publisher: Oxford Oxford University Press

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Fundamentals of generalized recursion theory
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ISBN: 9780444861719 0444861718 1299773486 0080960316 9789780080969 9780080961 Year: 1981 Volume: 105 Publisher: Amsterdam: North-Holland,

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This work presents the most important combinatorial ideas in partition calculus and discusses ordinary partition relations for cardinals without the assumption of the generalized continuum hypothesis. A separate section of the book describes the main partition symbols scattered in the literature. A chapter on the applications of the combinatorial methods in partition calculus includes a section on topology with Arhangel'skii's famous result that a first countable compact Hausdorff space has cardinality, at most continuum. Several sections on set mappings are included as well as an account of r

Fourth IFIP International Conference on Theoretical Computer Science - TCS 2006 : IFIP 19th World Computer Congress, TC-1, Foundations of Computer Science, August 23-24, 2006, Santiago, Chile
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ISBN: 9780387346335 0387346333 9786610724499 1280724498 0387347356 Year: 2006 Volume: 209 Publisher: New York, New York : Springer,

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International Federation for Information Processing The IFIP series publishes state-of-the-art results in the sciences and technologies of information and communication. The scope of the series includes: foundations of computer science; software theory and practice; education; computer applications in technology; communication systems; systems modeling and optimization; information systems; computers and society; computer systems technology; security and protection in information processing systems; artificial intelligence; and human-computer interaction. Proceedings and post-proceedings of referred international conferences in computer science and interdisciplinary fields are featured. These results often precede journal publication and represent the most current research. The principal aim of the IFIP series is to encourage education and the dissemination and exchange of information about all aspects of computing. For more information about the 300 other books in the IFIP series, please visit www.springer.com. For more information about IFIP, please visit www.ifip.org.

Recursion via Pascal.
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ISBN: 0521269342 0521263298 Year: 1984 Volume: 19 Publisher: Cambridge : Cambridge University,

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This book is devoted to recursion in programming, the technique through which the solution to a problem is expressed partly in terms of the solution to a simpler version of the same problem. Ultimately the solution to the simplest version must be given explicitly. In functional programming, recursion has received its full due since it is quite often the only repetitive construct. However, here the programming language used is Pascal and the examples have been chosen accordingly. It therefore makes an interesting contrast with the use of recursion in functional and logic programming. The early chapters consider simple linear recursion using examples such as finding the highest common factor of a pair of numbers, and processing linked lists. Subsequent chapters move up through binary recursion, with examples which include the Towers of Hanoi problem and symbolic differentiation, to general recursion, which covers examples such as drawing the cover design of this book. The book contains well over 100 examples. Recursion via Pascal will be a useful introduction to recursion for undergraduate students of computer science in universities and polytechnics.

Keywords

Programming --- Mathematical logic --- PASCAL (Computer program language) --- Electronic digital computers --- Recursion theory --- PASCAL (Langage de programmation) --- Programmation des ordinateurs --- Théorie de la récursivité --- Pascal (Computer program language) --- Computer programming --- 681.3*D3 --- 681.3*F33 --- 681.3*F41 --- Programming languages --- Studies of program constructs: control primitives; functional constructs; program and recursion schemes; type structure (Logics and meanings of programs)-- See also {681.3*D32}; {681.3*D33} --- Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- Computer programming. --- Recursion theory. --- Pascal (programmeertaal) --- Recursieve technieken --- Pascal (programmeertaal). --- Recursieve technieken. --- Pascal (Computer program language). --- 681.3*F41 Mathematical logic: computability theory; computational logic; lambda calculus; logic programming; mechanical theorem proving; model theory; proof theory;recursive function theory--See also {681.3*F11}; {681.3*I22}; {681.3*I23} --- 681.3*F33 Studies of program constructs: control primitives; functional constructs; program and recursion schemes; type structure (Logics and meanings of programs)-- See also {681.3*D32}; {681.3*D33} --- 681.3*D3 Programming languages --- Théorie de la récursivité --- Logic, Symbolic and mathematical --- Programming languages (Electronic computers) --- Computers --- Electronic computer programming --- Electronic data processing --- Programming (Electronic computers) --- Coding theory

Fundamentals of computation theory : proceedings of the 1977 International FCT-Conference, Poznan-Krnik, Poland, September 19-23, 1977
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ISBN: 0387084428 3540084428 3540370846 9780387084428 Year: 1977 Volume: 56 Publisher: Berlin: Springer,

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Recursion theory --- Computational complexity --- Machine theory --- Categories (Mathematics) --- Théorie de la récursivité --- Complexité de calcul (Informatique) --- Automates mathématiques, Théorie des --- Catégories (Mathématiques) --- Congresses --- Congrès --- Théorie de la récursivité --- Complexité de calcul (Informatique) --- Automates mathématiques, Théorie des --- Catégories (Mathématiques) --- Congrès --- #TCPW P3.0 --- 681.3*A0 --- 681.3*F1 --- Computation by abstract devices --- 681.3*F1 Computation by abstract devices --- Computer science --- 681.3*F0 --- 681.3*F3 --- 681.3*F4 --- 681.3*F4 Mathematical logic and formal languages (Theory of computation) --- Mathematical logic and formal languages (Theory of computation) --- 681.3*F3 Logics and meanings of programs (Theory of computation) --- Logics and meanings of programs (Theory of computation) --- 681.3*A0 General --- General --- Computerwetenschap--?*F0 --- Logic, Symbolic and mathematical. --- Computer science. --- Mathematical Logic and Foundations. --- Computer Science, general. --- Informatics --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Langages de programmation --- Programmation système (informatique) --- Recursion theory - Congresses --- Computational complexity - Congresses --- Machine theory - Congresses --- Categories (Mathematics) - Congresses

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