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A note on a canonical theory with undecidable unification and matching problem

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Abstract

A natural example of a canonical theory with undecidable unification and matching problem is presented.

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References

  1. Davis, M. (1973) ‘Hilbert's tenth problem is unsolvable’, Amer. Math. Monthly 80 233–269.

    Google Scholar 

  2. Göbel, R. (1986) Private Communication, University of Kaiserslautern, Fachbereich Informatik, Postfach 3049, D-6750 Kaiserslautern, F.R.G.

  3. Heilbrunner, S. and Hölldobler, S. (1986) ‘The undecidability of the unification and matching problem for canonical theories’, submitted to Acta Informatica.

  4. Huet, G. and Oppen, D. C. (1980) ‘Equations and rewrite rules: A survey’, in Formal Languages: Perspectives and Open Problems, Book, R. (ed.), Academic Press, pp. 349–405.

  5. Matijasevich, Y. (1970) ‘Enumerable sets are diophantine’, Sov. Math. Doklady 11 354–357.

    Google Scholar 

  6. Réty, P., Kirchner, C., Kirchner, H., and Lescanne, P. (1985) NARROWER: A new Algorithm for Unification and its Applications to Logic Programming, Rewriting Techniques and Applications, Dijon Springer LNCS 202, pp. 141–155.

  7. Siekmann, J. (1986) Unification Theory. Proc. of 8th ECAI-86, Brighton, pp. vi–xxxv

  8. Szabo, P. (1982) ‘Unifikationstheorie Erster Ordnung’, Dissertation (in German), Universität Karlsruhe.

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Bockmayr, A. A note on a canonical theory with undecidable unification and matching problem. J Autom Reasoning 3, 379–381 (1987). https://doi.org/10.1007/BF00247435

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