We explore the borderline between decidability and undecidability of the following question: “Let be a class of codes. Given a machine of type , is it decidable whether the language lies in or not?” for codes in general, -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.
Keywords: partially blind counter machines, prefix code, infix code, bifix code, deciphering delay, decidability
@article{ITA_2007__41_3_243_0,
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},
year = {2007},
publisher = {EDP Sciences},
volume = {41},
number = {3},
doi = {10.1051/ita:2007019},
mrnumber = {2354356},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ita:2007019/}
}
TY - JOUR AU - Fernau, Henning AU - Reinhardt, Klaus AU - Staiger, Ludwig TI - Decidability of code properties JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2007 SP - 243 EP - 259 VL - 41 IS - 3 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ita:2007019/ DO - 10.1051/ita:2007019 LA - en ID - ITA_2007__41_3_243_0 ER -
%0 Journal Article %A Fernau, Henning %A Reinhardt, Klaus %A Staiger, Ludwig %T Decidability of code properties %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2007 %P 243-259 %V 41 %N 3 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ita:2007019/ %R 10.1051/ita:2007019 %G en %F ITA_2007__41_3_243_0
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
[1] , Transductions and Context-Free Languages, LAMM 38. Teubner, Stuttgart (1979). | Zbl
[2] and. Theory of Codes. Pure and Applied Mathematics, Academic Press, Orlando (1985). | Zbl
[3] and. Trends in the theory of codes. EATCS Bull. 29 (1986) 84-95. | Zbl
[4] . Automata and codes with bounded deciphering delay, in Proc. LATIN'92, edited by I. Simon. Lect. Notes Comput. Sci. 583 (1992).
[5] ,, and, Codes and infinite words. Acta Cybernetica 11 (1994) 241-256. | Zbl
[6] FS and codes. In Developments in Theoretical Computer Science, edited by J. Dassow and A. Kelemenová. Gordon and Breach Science Publishers, Basel (1994) 141-152. | Zbl
[7] and, IFS and control languages. Inform. Comput. 168 (2001) 125-143. | Zbl
[8] ,, and, One-way stack automata. J. Assoc. Comput. Machinery 14 (1967) 389-418. | Zbl
[9] , Remarks on blind and partially blind one-way multicounter machines. Theoret. Comput. Sci. 7 (1978) 311-324. | Zbl
[10] , Introduction to Formal Language Theory. Addison-Wesley series in computer science. Addison-Wesley, Reading (MA) (1978). | Zbl | MR
[11] and, Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (MA)(1979). | Zbl | MR
[12] , and, Transducers and the decidability of independence in free monoids. Theoret. Comput. Sci. 134 (1994) 107-117. | Zbl
[13] and, Codes. in Handbook of Formal Languages, Volume I, edited by G. Rozenberg and A. Salomaa. Springer, Berlin (1997) 511-607. | Zbl
[14] , Decidability of reachability in vector addition systems, in Proceedings 14th Annual ACM STOC (1984) 267-281.
[15] and, Set automata. in Combinatorics, Complexity and Logic, Proceedings of the DMTCS'96, edited by D.S. Bridges. Springer, Berlin (1996) 321-329. | Zbl
[16] , Some properties of coding and self-adjusting automata for decoding messages (in Russian). Problemy Kibernetiki 11 (1964) 63-121. As regards translations, see [13], 604. | Zbl
[17] and, Algebraische Codierungstheorie; Theorie der sequentiellen Codierungen, 11 Elektronisches Rechnen und Regeln. Akademie-Verlag, Berlin (1977). | Zbl | MR
[18] , Parallel complexity of the regular code problem. Inform. Comput. 86 (1990) 107-114. | Zbl
[19] , An algorithm for the general Petri net reachability problem. SIAM J. Comput. 13 (1984) 441-459. | Zbl
[20] , Recursive unsolvability of Post's problem of “tag” and other topics in theory of Turing machines. Ann. Math. 74 (1961) 437-455. | Zbl
[21] , Computation: Finite and Infinite Machines. Prentice-Hall (1971). | Zbl | MR
[22] , Prioritätszählerautomaten und die Synchronisation von Halbspursprachen. Dissertation, Institut für Informatik, Universität Stuttgart (1994).
[23] , Codes and automata, in Formal Properties of Finite Automata and Applications, edited by J.E. Pin. Lect. Notes Comput. Sci 386 (1988) 186-198.
[24] , The space complexity of the unique decipherability problem. Inform. Process. Lett. 23 (1986) 1-3. | Zbl
[25] , On infinitary finite length codes. RAIRO-Theor. Inf. Appl. 20 (1986) 483-494. | Zbl | Numdam
[26] , Codes, simplifying words, and open set condition. Inform. Process. Lett. 58 (1996) 297-301. | Zbl
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