CD-systems of stateless deterministic R(1)-automata governed by an external pushdown store
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 45 (2011) no. 4, pp. 413-448.

We study cooperating distributed systems (CD-systems) of stateless deterministic restarting automata with window size 1 that are equipped with an external pushdown store. In this way we obtain an automata-theoretical characterization for the class of word languages that are linearizations of context-free trace languages.

DOI: 10.1051/ita/2011123
Classification: 68Q45
Keywords: restarting automaton, cooperating distributed system, external pushdown, context-free trace language
@article{ITA_2011__45_4_413_0,
     author = {Nagy, Benedek and Otto, Friedrich},
     title = {CD-systems of stateless deterministic {R(1)-automata} governed by an external pushdown store},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {413--448},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {4},
     year = {2011},
     doi = {10.1051/ita/2011123},
     mrnumber = {2876115},
     zbl = {1250.68172},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ita/2011123/}
}
TY  - JOUR
AU  - Nagy, Benedek
AU  - Otto, Friedrich
TI  - CD-systems of stateless deterministic R(1)-automata governed by an external pushdown store
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 2011
SP  - 413
EP  - 448
VL  - 45
IS  - 4
PB  - EDP-Sciences
UR  - http://www.numdam.org/articles/10.1051/ita/2011123/
DO  - 10.1051/ita/2011123
LA  - en
ID  - ITA_2011__45_4_413_0
ER  - 
%0 Journal Article
%A Nagy, Benedek
%A Otto, Friedrich
%T CD-systems of stateless deterministic R(1)-automata governed by an external pushdown store
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 2011
%P 413-448
%V 45
%N 4
%I EDP-Sciences
%U http://www.numdam.org/articles/10.1051/ita/2011123/
%R 10.1051/ita/2011123
%G en
%F ITA_2011__45_4_413_0
Nagy, Benedek; Otto, Friedrich. CD-systems of stateless deterministic R(1)-automata governed by an external pushdown store. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 45 (2011) no. 4, pp. 413-448. doi : 10.1051/ita/2011123. http://www.numdam.org/articles/10.1051/ita/2011123/

[1] I. Aalbersberg and G. Rozenberg, Theory of traces. Theoret. Comput. Sci. 60 (1988) 1-82. | MR | Zbl

[2] J. Autebert, J. Berstel and L. Boasson, Context-free languages and pushdown automata, in Handbook of Formal Languages, Word, Language, Grammar, edited by G. Rozenberg and A. Salomaa. 1 (1997) 111-174. | MR | Zbl

[3] J. Berstel, Transductions and Context-Free Languages, Leitfäden der angewandten Mathematik und Mechanik 38 (1979). | MR | Zbl

[4] A. Bertoni, G. Mauri and N. Sabadini, Membership problems for regular and context-free trace languages. Inform. Comput. 82 (1989) 135-150. | MR | Zbl

[5] H. Bordihn, M. Holzer and M. Kutrib, Input reversals and iterated pushdown automata: a new characterization of Khabbaz geometric hierarchy of languages, in Proc. of DLT 2004, edited by C.S. Calude, E. Calude and M.J. Dinneen. Lect. Notes Comput. Sci. 3340 (2004) 102-113. | MR | Zbl

[6] P. Cartier and D. Foata, Problèmes Combinatoires de Commutation et Réarrangements. Lect. Notes Comput. Sci. 85 (1969). | Zbl

[7] E. Csuhaj-Varjú, J. Dassow, J. Kelemen and G. Păun, Grammar Systems. A Grammatical Approach to Distribution and Cooperation, edited by Gordon and Breach. London (1994). | MR | Zbl

[8] E. Csuhaj-Varjú, C. Martín-Vide and V. Mitrana, Multiset automata, in Multiset Processing, edited by C.S. Calude, G. Păun, G. Rozenberg and A. Salomaa. Lect. Notes Comput. Sci. 2235 (2001) 69-83. | MR | Zbl

[9] V. Diekert and G. Rozenberg Eds., The Book of Traces. World Scientific, Singapore (1995). | MR

[10] B. Genest, H. Gimbert, A. Muscholl and I. Walukiewicz, Optimal Zielonka-type construction of deterministic asynchronous automata, in Proc. of ICALP 2010, Part. II, edited by S. Abramsky, C. Gavoille, C. Kircher, F. Meyer auf der Heide and P.G. Spirakis. Lect. Notes Comput. Sci. 6199 (2010) 52-63. | MR | Zbl

[11] M. Harrison, Introduction to Formal Language Theory. Addison-Wesley, Reading, MA (1978). | MR | Zbl

[12] J.E. Hopcroft and J.D. Ullman, Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading, MA (1979). | MR | Zbl

[13] P. Jančar, F. Mráz, M. Plátek and J. Vogel, Restarting automata, in Proc. of FCT 1995, edited by H. Reichel. Lect. Notes Comput. Sci. 965 (1995) 283-292. | MR

[14] P. Jančar, F. Moller and Z. Sawa, Simulation problems for one-counter machines, in Proc. of SOFSEM'99, edited by J. Pavelka, G. Tel and M. Bartošek. Lect. Notes Comput. Sci. 1725 (1999) 404-413. | MR | Zbl

[15] M. Kudlek, P. Totzke and G. Zetzsche, Multiset pushdown automata. Fund. Inform. 93 (2009) 221-233. | MR | Zbl

[16] M. Kutrib, H. Messerschmidt and F. Otto, On stateless two-pushdown automata and restarting automata, in Proc. of AFL 2008, edited by E. Csuhaj-Varjú and Z. Ésik. Hungarian Academy of Sciences (2008) 257-268. | Zbl

[17] M. Kutrib, H. Messerschmidt and F. Otto, On stateless two-pushdown automata and restarting automata. Int. J. Found. Comput. Sci. 21 (2010) 781-798. | MR | Zbl

[18] A. Mazurkiewicz, Concurrent program schemes and their interpretations, DAIMI Rep. PB. Aarhus University, Aarhus 78 (1977).

[19] H. Messerschmidt and F. Otto, Cooperating distributed systems of restarting automata. Int. J. Found. Comput. Sci. 18 (2007) 1333-1342. | MR | Zbl

[20] H. Messerschmidt and F. Otto, On deterministic CD-systems of restarting automata. Int. J. Found. Comput. Sci. 20 (2009) 185-209. | MR | Zbl

[21] B. Nagy and F. Otto, CD-systems of stateless deterministic R(1)-automata accept all rational trace languages, in Proc. of LATA 2010, edited by A.H. Dediu, H. Fernau and C. Martin-Vide. Lect. Notes Comput. Sci. 6031 (2010) 463-474. | MR | Zbl

[22] B. Nagy and F. Otto, On CD-systems of stateless deterministic R-automata with window size one. Kasseler Informatikschriften, Fachbereich Elektrotechnik/Informatik, Universität Kassel (2010). https://kobra.bibliothek.uni-kassel.de/handle/urn:nbn:de:hebis:34-2010042732682 | Zbl

[23] B. Nagy and F. Otto, An automata-theoretical characterization of context-free trace languages, in Proc. of SOFSEM 2011: Theory and Practice of Computer Science, edited by I. Černá, T. Gyimóthy, J. Hromkovič, K. Jefferey, R. Královič, M. Vukolič and S. Wolf. Lect. Notes Comput. Sci. 6543 (2011) 406-417. | MR | Zbl

[24] B. Nagy and F. Otto, Finite-state acceptors with translucent letters, in Proc. of BILC 2011: AI Methods for Interdisciplinary Research in Language and Biology, edited by G. Bel-Enguix, V. Dahl and A.O. De La Puente. SciTePress, Portugal (2011) 3-13.

[25] F. Otto, Restarting automata, in Recent Advances in Formal Languages and Applications, Studies in Computational Intelligence, edited by Z. Ésik, C. Martin-Vide and V. Mitrana. 25 (2006) 269-303. | Zbl

[26] W. Zielonka, Note on finite asynchronous automata. RAIRO-Inf. Theor. Appl. 21 (1987) 99-135. | Numdam | MR | Zbl

Cited by Sources: