First-Order Specifications of Programmable Data Types

  • Authors:
  • Grazyna Mirkowska;Andrzej Salwicki;Marian Srebrny;Andrzej Tarlecki

  • Affiliations:
  • -;-;-;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2001

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Abstract

We consider first-order specifications together with the restriction to accept only programmable algebras as models. We provide a criterion which links this approach with the "generation principle": all programmable models of any specification SP that meets this criterion are reachable. We also show an example of a specification which does not satisfy the criterion and admits a programmable yet nonreachable model. Moreover, a general method of showing the existence of programmable but nonreachable models for a class of first-order specifications is given.