A general result on infinite trees and its applications

  • Authors:
  • David Harel

  • Affiliations:
  • -

  • Venue:
  • STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
  • Year:
  • 1984

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Abstract

A generic translation between various kinds of recursive trees is presented. It is shown that trees of either finite or countably-infinite branching can be effectively put into one-one correspondence with infinitely-branching trees in such a way that the infinite paths of the latter correspond to the “@@@@-abiding” infinite paths of the former. Here @@@@ an be any member of a very wide class of properties of infinite paths. Two of the applications involve the formulation of large classes of &pgr;11 variants of classical computational problems, and the existence of a general method for proving termination of nondeterministic or concurrent programs under any reasonable notion of fairness.