Geodesic
Self-reproducing pushdown transducers
Kybernetika, Tome 41 (2005) no. 4, p. [531].

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After a translation of an input string, $x$, to an output string, $y$, a self- reproducing pushdown transducer can make a self-reproducing step during which it moves $y$ to its input tape and translates it again. In this self- reproducing way, it can repeat the translation $n$-times for any $n \ge 1$. This paper demonstrates that every recursively enumerable language can be characterized by the domain of the translation obtained from a self- reproducing pushdown transducer that repeats its translation no more than three times.
Classification : 68Q45
Keywords: pushdown transducer; self-reproducing pushdown transduction; recursively enumerable languages 
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     title = {Self-reproducing pushdown transducers},
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Meduna, Alexander; Lorenc, Luboš. Self-reproducing pushdown transducers. Kybernetika, Tome 41 (2005) no. 4, p. [531]. http://geodesic.mathdoc.fr/item/KYB_2005__41_4_a6/