Relational specifications of infinite query answers

  • Authors:
  • Jan Chomicki;Tomasz Imieliński

  • Affiliations:
  • Univ. of Maryland, College Park;Rutgers Univ., New Brunswick, NJ

  • Venue:
  • SIGMOD '89 Proceedings of the 1989 ACM SIGMOD international conference on Management of data
  • Year:
  • 1989

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Abstract

We investigate here functional deductive databases: an extension of DATALOG capable of representing infinite phenomena. Rules in functional deductive databases are Horn and predicates can have arbitrary unary and limited k-ary function symbols in one fixed position. This class is known to be decidable. However, least fixpoints of functional rules may be infinite. We present here a method to finitely represent infinite least fixpoints and infinite query answers as relational specifications. Relational specifications consist of a finite set of tuples and of a finitely specified congruence relation. Our method is applicable to every domain-independent set of functional rules.