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Computable symbolic dynamics

Mathematical Logic Quarterly, 2008
AbstractWe investigate computable subshifts and the connection with effective symbolic dynamics. It is shown that a decidable Π01 class P is a subshift if and only if there exists a computable function F mapping 2ℕ to 2ℕ such that P is the set of itineraries of elements of 2ℕ.
Douglas Cenzer   +2 more
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Parallel Symbolic Computing

Computer, 1986
Programs differ from one another in many dimensions. In one such dimension, programs can be laid out along a spectrum with predominantly symbolic programs at one end and predominantly numerical programs at the other. The differences between numerical and symbolic programs suggest different approaches to parallel processing.
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Distributed Symbolic Computations

Sixth International Symposium on Parallel and Distributed Computing (ISPDC'07), 2007
Symbolic computing is one of fastest growing areas of scientific computing. An overview of the state-of-the-art in symbolic computations on distributed architectures, in particular Web and Grid architectures, is presented. The background information, including typical application areas, is followed by a list of past and on-going projects involving ...
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The state of symbolic computation

ACM SIGSAM Bulletin, 1979
When I was first asked to give this banquet talk, I was somewhat hesitant to accept. I have not been very heavily involved in the field of symbolic and algebraic manipulation for the past three years. I have contented myself with such behind-the-scenes activities as serving as an associate editor for the ACM Transactions on ...
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The maple symbolic computation system

ACM SIGSAM Bulletin, 1983
The Maple system for algebraic computation is introduced. Samples of user/system interaction and of Maple programming are presented.
Bruce W. Char   +2 more
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The Computation of Powers of Symbolic Polynomials

SIAM Journal on Computing, 1975
Recent results on the computation of powers of symbolic polynomials are reviewed in perspective. Then a new algorithm is given which computes the nth power of a completely sparse polynomial using a linear number of multiplications. This is followed by experimental results comparing the new algorithm to iteration using both completely sparse and ...
Ellis Horowitz, Sartaj Sahni
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Reasoning in symbolic computation

ACM Communications in Computer Algebra, 2008
I discuss notations for some styles of mathematical reasoning that include analogy. These notations extend the conventions of the mathematical package mathscape that I reported recently in the Journal of Symbolic Computation. The paper introduces the reasoning objects that I call "precursors" and "consequences lists".
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Computer algebra symbolic and algebraic computation

ACM SIGSAM Bulletin, 1982
Computer algebra is an alternative and complement to numerical mathematics. Its importance is steadily increasing. This volume is the first systematic and complete treatment of computer algebra. It presents the basic problems of computer algebra and the best algorithms now known for their solution with their mathematical foundations, and complete ...
Bruno Buchberger   +3 more
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Symbolic mathematical computation

Communications of the ACM, 1985
Standard programming languages are inadequate for the kind of symbolic mathematical computations that theoretical physicists need to perform. Higher mathematics systems like SMP address this problem.
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Symbolic computation with sequences

Programming and Computer Software, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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