Geodesic
Decidability of code properties
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 3, pp. 243-259

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We explore the borderline between decidability and undecidability of the following question: “Let 𝒞 be a class of codes. Given a machine 𝔐 of type X, is it decidable whether the language L(𝔐) lies in 𝒞 or not?” for codes in general, ω-codes, codes of finite and bounded deciphering delay, prefix, suffix and bi(pre)fix codes, and for finite automata equipped with different versions of push-down stores and counters.

DOI : 10.1051/ita:2007019
Classification : 68Q45, 03D05, 94A45, 94B99
Keywords: partially blind counter machines, prefix code, infix code, bifix code, deciphering delay, decidability 
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     author = {Fernau, Henning and Reinhardt, Klaus and Staiger, Ludwig},
     title = {Decidability of code properties},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {243--259},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {3},
     year = {2007},
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Fernau, Henning; Reinhardt, Klaus; Staiger, Ludwig. Decidability of code properties. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 41 (2007) no. 3, pp. 243-259. doi: 10.1051/ita:2007019

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