Geodesic
On the application of finite-state machines to the investigation of the fixed-point theory decidability
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2016), pp. 103-115

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We investigate effective elimination of the fixed point operator in a theory of integers with a single successor function. We construct a finite-state machine for a language containing words matching the least fixed point.
Keywords: decidability, fixed point operator, finite-state machine. 
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     title = {On the application of finite-state machines to the investigation of the fixed-point theory decidability},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {103--115},
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A. S. Zolotov. On the application of finite-state machines to the investigation of the fixed-point theory decidability. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2016), pp. 103-115. http://geodesic.mathdoc.fr/item/VTPMK_2016_1_a7/