A Decompositional Approach for Computing Least Fixed-Pointsof Datalog Programs with Z-Counters

  • Authors:
  • Laurent Fribourg;Hans Olsén

  • Affiliations:
  • Ecole Normale Supérieure Cachan and CNRS, 61 av. Président Wilson, 94235 Cachan - France. E-mail: fribourg@lsv.ens-cachan.fr;IDA, Linköping University, S-58183 Linköping - Sweden. E-mail: hanol@ida.liu.se

  • Venue:
  • Constraints
  • Year:
  • 1998

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Abstract

We present a method for characterizing the least fixed-pointsof a certain class of Datalog programs in Presburger arithmetic.The method consists in applying a set of rules that transformgeneral computation paths into “canonical” ones. We use themethod for treating the problem of reachability in the fieldof Petri nets, thus relating some unconnected results and extendingthem in several directions.