J. Leroux. Structural Presburger-definable Digit Vector Automata. Research Report IRISA, No 1718, May 2005.
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Digit Vector Automata (DVA) provide a natural symbolic representation for regular sets of integer vectors encoded as strings of digit vectors (least significant digit first). We prove that the minimal DVA that represents a Presburger-definable set is structurally Presburger-definable: that means, the DVA obtained by modifying the initial state and the set of final states represents a Presburger-definable set
@TechReport{leroux05a,
Author = {Leroux, J.},
Title = {Structural Presburger-definable Digit Vector Automata},
Number = {1718},
Institution = {IRISA},
Month = {May},
Year = {2005}
}
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