Linear temporal logic for regular cost functions

Author Denis Kuperberg

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Denis Kuperberg

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Denis Kuperberg. Linear temporal logic for regular cost functions. In 28th International Symposium on Theoretical Aspects of Computer Science (STACS 2011). Leibniz International Proceedings in Informatics (LIPIcs), Volume 9, pp. 627-636, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)


Regular cost functions have been introduced recently as an extension to the notion of regular languages with counting capabilities, which retains strong closure, equivalence, and decidability properties. The specificity of cost functions is that exact values are not considered, but only estimated. In this paper, we define an extension of Linear Temporal Logic (LTL) over finite words to describe cost functions. We give an explicit translation from this new logic to automata. We then algebraically characterize the expressive power of this logic, using a new syntactic congruence for cost functions introduced in this paper.
  • linear temporal logic
  • regular cost functions
  • regular languages


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