On an ω-Decidable Deductive Procedure for Non-Horn Sequents of a Restricted FTL

  • Regimantas Pliuškevičius
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1861)


A new deduction-based procedure is presented for non-Horn, so-called DR-sequents with repetitions of a restricted first-order linear temporal logic with temporal operators “next” and “always”. The main part of the proposed deductive procedure is automatic generation of the inductive hypothesis. The proposed deductive procedure consists of three separate decidable deductive procedures replacing the infinitary omega-type rule for the operator “always”. These three decidable parts cannot be joined. Therefore the proposed deductive procedure (by analogy with ω-completeness) is only ω-decidable. The specific shape of DR-sequents allows us in all the three parts of the proposed deductive procedure to construct: (1) a deduction tree in some linear form, i.e., with one ”temporal” branch; (2) length-preserving derivations, i.e., the lengths of generated sequents are the same.


Similarity Index Temporal Logic Function Symbol Atomic Formula Linear Temporal Logic 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Regimantas Pliuškevičius
    • 1
  1. 1.Institute of Mathematics and InformaticsVilniusLithuania

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