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Idempotent single-predicate horn clauses

  • Logic And Deductive Databases
  • Conference paper
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ICDT '88 (ICDT 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 326))

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Abstract

Previous work has addressed the issues of idempotence and boundedness for various restricted classes of Horn-clause queries. In this paper, we consider queries consisting of a single clause containing a single predicate symbol. As such, these queries are a notational variant of the full, untagged tableau queries with recursive semantics. The study of the idempotence and boundedness for single-clause, single-predicate queries has previously been restricted to the typed case. We generalize these results to obtain syntactic, polynomial-time computable characterizations of idempotence for certain classes of untyped queries.

This research was supported by the Natural Sciences and Engineering Research Council of Canada.

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References

  1. A.V. Aho, Y. Sagiv, and J.D. Ullman, “Equivalences among Relational Expressions,” SIAM J. Comput., vol. 8, no. 2, pp. 218–246, 1979.

    Google Scholar 

  2. A.V. Aho and J.D. Ullman, “Universality of Data Retrieval Languages,” Proc. 6th ACM Symp. on Principles of Programming Languages, pp. 110–120, 1979.

    Google Scholar 

  3. F. Bancilhon and R. Ramakrishnan, “An Amateur's Introduction to Recursive Query Processing Strategies,” Proc. ACM SIGMOD Conf. on Management of Data, pp. 16–52, 1986.

    Google Scholar 

  4. C. Beeri and M.Y. Vardi, “Formal Systems for Tuple and Equality Generating Dependencies,” SIAM J. Comput., vol. 13, no. 1, pp. 76–98, 1984.

    Google Scholar 

  5. A.K. Chandra and P.M. Merlin, “Optimal Implementation of Conjunctive Queries in Relational Data Bases,” Proc. 9th ACM Symp. on Theory of Computing, pp. 77–90, 1977.

    Google Scholar 

  6. E. F. Codd, “Relational Completeness of Data Base Sublanguages,” in Data Base Systems, ed. R. Rustin, pp. 65–98, Prentice-Hall, Englewood Cliffs, N. J, 1972.

    Google Scholar 

  7. S. Cosmadakis and P. Kanellakis, “Parallel Evaluation of Recursive Rule Queries,” Proc. 5th ACM SIGACT—SIGMOD Symp. on Principles of Database Systems, pp. 280–293, 1986.

    Google Scholar 

  8. I.F. Cruz, A.O. Mendelzon, and P.T. Wood, “A Graphical Query Language Supporting Recursion,” Proc. ACM SIGMOD Conf. on Management of Data, pp. 323–330, 1987.

    Google Scholar 

  9. Y.E. Ioannidis, “A Time Bound on the Materialization of Some Recursively Defined Views,” Proc. 11th Int. Conf. on Very Large Data Bases, pp. 219–226, 1985.

    Google Scholar 

  10. J. Naughton, “Data Independent Recursion in Deductive Databases,” Proc. 5th ACM SIGACT—SIGMOD Symp. on Principles of Database Systems, pp. 267–279, 1986.

    Google Scholar 

  11. J. Naughton and Y. Sagiv, “A Decidable Class of Bounded Recursions,” Proc. 6th ACM SIGACT-SIGMOD-SIGART Symp. on Principles of Database Systems, pp. 227–236, 1987.

    Google Scholar 

  12. Y. Sagiv, “On Computing Restricted Projections of Representative Instances,” Proc. 4th ACM SIGACT—SIGMOD Symp. on Principles of Database Systems, pp. 171–180, 1985.

    Google Scholar 

  13. Y. Sagiv, “On Bounded Database Schemes and Bounded Horn-Clause Programs,” SIAM J. Comput., vol. 17, no. 1, pp. 1–22, 1988.

    Google Scholar 

  14. Y. Sagiv and M. Yannakakis, “Equivalence among Relational Expressions with the Union and Difference Operators,” J. ACM, vol. 27, no. 4, pp. 633–655, 1980.

    Google Scholar 

  15. J.D. Ullman, Principles of Database Systems, Computer Science Press, Potomac, Md., 1983.

    Google Scholar 

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Marc Gyssens Jan Paredaens Dirk Van Gucht

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© 1988 Springer-Verlag Berlin Heidelberg

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Wood, P.T., Mendelzon, A.O., Atzeni, P. (1988). Idempotent single-predicate horn clauses. In: Gyssens, M., Paredaens, J., Van Gucht, D. (eds) ICDT '88. ICDT 1988. Lecture Notes in Computer Science, vol 326. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50171-1_8

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  • DOI: https://doi.org/10.1007/3-540-50171-1_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50171-8

  • Online ISBN: 978-3-540-45943-9

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