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Tableau-based automata construction for dynamic linear time temporal logic*

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We present a tableau-based algorithm for obtaining a Büchi automaton from a formula in Dynamic Linear Time Temporal Logic (DLTL), a logic which extends LTL by indexing the until operator with regular programs. The construction of the states of the automaton is similar to the standard construction for LTL, but a different technique must be used to verify the fulfillment of until formulas. The resulting automaton is a Büchi automaton rather than a generalized one. The construction can be done on-the-fly, while checking for the emptiness of the automaton. We also extend the construction to the Product Version of DLTL.

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Authors and Affiliations

  1. Dipartimento di Informatica, Università del Piemonte Orientale, Alessandria, Italy

    Laura Giordano

  2. Dipartimento di Informatica, Università di Torino, Corso Svizzera 185, Torino, Italy

    Alberto Martelli

Authors
  1. Laura Giordano
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  2. Alberto Martelli
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Correspondence to Alberto Martelli.

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*This research has been partially supported by the project MIUR PRIN 2005 ‘Specification and verification of agent interaction protocols’.

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Giordano, L., Martelli, A. Tableau-based automata construction for dynamic linear time temporal logic*. Ann Math Artif Intell 46, 289–315 (2006). https://doi.org/10.1007/s10472-006-9020-7

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