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First steps towards a theory of complexity over more general data structures

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Computation Theory and Logic

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 270))

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Abstract

This paper contains some first steps towards a theory of complexity in the area of computations on more general data structures. Special structures are studied which show a highly pathological behaviour as regards complexity theory. Then we define what it means for a structure to be well-designed and treat examples of such structures.

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References

  • Braun,H. (1986) Komplexität von Berechnungen auf der Datenstruktur der binären Wörter mit Konkatenation, Interner Bericht der Fakultät für Informatik der Universität Karlsruhe

    Google Scholar 

  • Blass, A., Gurevich, Y. (1984) Equivalence relations, invariants and normal forms, In:E. Börger, G. Hasenjaeger, D. Rödding (eds), Logic and Machines: Decision Problems and Complexity, LNCS 171, Springer, Berlin Heidelberg New York, pp.24–42

    Google Scholar 

  • Berman, P., Halpern, J.Y., Tiuryn, J. (1982) On the power of non-determinism in Dynamic Logic, In: Proceedings, Ninth Colloquium on Automata, Languages and Programming 82, LNCS 140, Springer, Berlin Heidelberg New York, pp. 48–60

    Google Scholar 

  • Harel, D. (1984) Dynamic Logic, In: D. Gabbey & F. Guenther (eds), Handbook of Philosophical Logic, Reidel Publishing, Dordrecht, pp. 496–604

    Google Scholar 

  • Hawrusik,F., Venkatamaran,K.N., Yasuhara,A. (1981) Classes of functions for computing on binary trees, STOC, pp. 19–27

    Google Scholar 

  • Kfoury,A.J., Urzyczyn,P. (1985) Necessary and sufficient conditions for the universality of programming formalisms, Acta Informatica, Vol. 22(4)

    Google Scholar 

  • Kfoury,A.J. (1983) Definability by programs in first-order structures, Theoretical Computer Science 25, pp. 1–66

    Google Scholar 

  • Matchey,M., Young,P. (1978) An introduction to the general theory of algorithms, North-Holland

    Google Scholar 

  • Sperschneider,V. (1985) Halbsymbolisches Rechnen als methodisches Werkzeug in der Komplexitätstheorie auf Datenstrukturen, Habilitationsschrift, Universität Karlsruhe

    Google Scholar 

  • Stolboushkin, A.P., Taitslin, M.A. (1983) Deterministic Dynamic Logic is strictly weaker than Dynamic Logic, Information and Control, Vol. 57, pp. 48–55

    Google Scholar 

  • Stolboushkin, A.P. (1983) Regular Dynamic Logic is not interpretable in deterministic context-free Dynamic Logic, Information and Control, vol. 57, pp. 48–55

    Google Scholar 

  • Tiuryn,J. (1986) A simplified proof of DDL<DL, To appear in Information and Control

    Google Scholar 

  • Urzyczyn,P. (1981) The unwind property in certain algebras, Information and Control, Vol. 50

    Google Scholar 

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Egon Börger

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© 1987 Springer-Verlag Berlin Heidelberg

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Sperschneider, V. (1987). First steps towards a theory of complexity over more general data structures. In: Börger, E. (eds) Computation Theory and Logic. Lecture Notes in Computer Science, vol 270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-18170-9_181

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  • DOI: https://doi.org/10.1007/3-540-18170-9_181

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18170-5

  • Online ISBN: 978-3-540-47795-2

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