Handbook of Computability Theory
Edward R. Griffor (ed.)
Elsevier (1999)
| Abstract | The chapters of this volume all have their own level of presentation. The topics have been chosen based on the active research interest associated with them. Since the interest in some topics is older than that in others, some presentations contain fundamental definitions and basic results while others relate very little of the elementary theory behind them and aim directly toward an exposition of advanced results. Presentations of the latter sort are in some cases restricted to a short survey of recent results (due to the complexity of the methods and proofs themselves). Hence the variation in level of presentation from chapter to chapter only reflects the conceptual situation itself. One example of this is the collective efforts to develop an acceptable theory of computation on the real numbers. The last two decades has seen at least two new definitions of effective operations on the real numbers. | |||||||||
| Keywords | Computable functions | |||||||||
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| Buy the book | $139.64 used (25% off) $146.61 new (21% off) $173.18 direct from Amazon (6% off) Amazon page | |||||||||
| Call number | QA9.59.H36 1999 | |||||||||
| ISBN(s) | 0444898824 9780444898821 | |||||||||
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S. B. Cooper, T. A. Slaman & S. S. Wainer (eds.) (1996). Computability, Enumerability, Unsolvability: Directions in Recursion Theory. Cambridge University Press.
Piergiorgio Odifreddi (1989). Classical Recursion Theory: The Theory of Functions and Sets of Natural Numbers. Sole Distributors for the Usa and Canada, Elsevier Science Pub. Co..
Nachum Dershowitz & Yuri Gurevich (2008). A Natural Axiomatization of Computability and Proof of Church's Thesis. Bulletin of Symbolic Logic 14 (3):299-350.
George Boolos (2007). Computability and Logic. Cambridge University Press.
Arto Salomaa (1985). Computation and Automata. Cambridge University Press.
Joseph S. Miller (2004). Degrees of Unsolvability of Continuous Functions. Journal of Symbolic Logic 69 (2):555 - 584.
George Boolos, John Burgess, Richard P. & C. Jeffrey (2007). Computability and Logic. Cambridge University Press.
Guido Gherardi (2011). Alan Turing and the Foundations of Computable Analysis. Bulletin of Symbolic Logic 17 (3):394-430.
Nigel Cutland (1980). Computability, an Introduction to Recursive Function Theory. Cambridge University Press.
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