On the Construction of Automata from Linear Arithmetic Constraints

  • Authors:
  • Pierre Wolper;Bernard Boigelot

  • Affiliations:
  • -;-

  • Venue:
  • TACAS '00 Proceedings of the 6th International Conference on Tools and Algorithms for Construction and Analysis of Systems: Held as Part of the European Joint Conferences on the Theory and Practice of Software, ETAPS 2000
  • Year:
  • 2000

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Abstract

This paper presents an overview of algorithms for constructing automata from linear arithmetic constraints. It identifies one case in which the special structure of the automata that are constructed allows a linear-time determinization procedure to be used. Furthermore, it shows through theoretical analysis and experiments that the special structure of the constructed automata does, in quite a general way, render the usual upper bounds on automata operations vastly overpessimistic.