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...shown that all distributions realized by a PDFA can be realized by a RPFA but there are some distributions a RPFA can realized that cannot be realized by PDFA. Thus, RPFA strictly generalize PDFA. In =-=[18]-=-, authors have shown that PDFA strictly generalize n-th order Markov chains for any n. On the bad side, PFA are strictly more general than RPFA [17]. In [19], authors gave explicit conversions between...