A programming language for the inductive sets, and applications

  • David Harel
  • Dexter Kozen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 140)


We introduce a programming language IND that generalizes alternating Turing machines to arbitrary first-order structures. We show that IND programs (respectively, everywhere-halting IND programs, loop-free IND programs) accept precisely the inductively definable (respectively, hyperelementary, elementary) relations. We give several examples showing how the language provides a robust and computational approach to the theory of first-order inductive definability. We then show: (1) on all acceptable structures (in the sense of Moschovakis [Mo]), r.e. Dynamic Logic is more expressive than finite-test Dynamic Logic. This refines a separation result of Meyer and Parikh [MP]; (2) IND provides a natural query language for the set of fixpoint queries over a relational database, answering a question of Chandra and Harel [CH2].


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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • David Harel
    • 1
  • Dexter Kozen
    • 2
  1. 1.The Weizmann InstituteRehovotIsrael
  2. 2.Aarhus UniversityAarhusDenmark

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