B and D Are Enough to Make the Halpern-Shoham Logic Undecidable

نویسندگان

  • Jerzy Marcinkowski
  • Jakub Michaliszyn
  • Emanuel Kieronski
چکیده

The Halpern Shoham logic is a modal logic of time intervals. Some e ort has been put in last ten years to classify fragments of this beautiful logic with respect to decidability of its satis ability problem. We contribute to this e ort by showing (among other results), that the BD fragment (where only the operators begins and during are allowed) is undecidable over discrete structures.

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تاریخ انتشار 2010