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Theoretical Computer Science
Volume 228, Issues 1-2, 28 October 1999, Pages 151-174
 
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doi:10.1016/S0304-3975(98)00357-0    
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Copyright © 1999 Elsevier Science B.V. All rights reserved.

Image and Image characterized by programming languages

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Neil D. Jones1, E-mail The Corresponding Author

Department of Computer Science, DIKU (Datalogisk Institut), University of Copenhagen, Universitetsparken 1, 2100 Copenhagen East, Denmark


Available online 15 October 1999.

Abstract

A programming approach to computability and complexity theory yields more natural definitions and proofs of central results than the classical approach. Further, some new results can be obtained using this viewpoint. This paper contains new intrinsic characterizations of the well-known complexity classes Image and Image , with no externally imposed resource bounds on time or space. Image is proven identical with the decision problems solvable by read-only imperative programs on Lisp-like lists; and Image is proven identical with the problems solvable by recursive read-only programs.

Author Keywords: Complexity; Read-only or cons-free programs; Image ; Image

1 This research was partially supported by the Danish Research Council (DART project), and the Esprit BRAs Semantique and Atlantique. An earlier version of this paper appeared in Electronic Notes in Theoretical Computer Science, proceedings of the 1995 meeting Mathematical Foundations of Programmming Semantics.


Theoretical Computer Science
Volume 228, Issues 1-2, 28 October 1999, Pages 151-174
 
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