Abstract
The shrinking two-pushdown automaton is known to charactize the class of growing context-sensitive languages, while its deterministic variant accepts the Church-Rosser languages. Here we study the expressive power of shrinking pushdown automata with more than two pushdown stores, obtaining a close correspondence to linear time-bounded multi-tape Turing machines.
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Aanderaa, S.O.: On k-tape versus (k−1)-tape real time computation. In: Karp, R.M. (ed.) Complexity of Computation, SIAM-AMS Symp. in Appl. Math., vol. 7, pp. 75–96. American Math. Society, Providence (1974)
Book, R.V.: Time-bounded grammars and their languages. J. Comput. System Sci. 5, 397–429 (1971)
Book, R.V., Greibach, S.A.: Quasi-realtime languages. Math. Systems Theory 4, 97–111 (1970)
Bordihn, H., Holzer, M., Kutrib, M.: Input reversals and iterated pushdown automata: A new characterization of khabbaz geometric hierarchy of languages. In: Calude, C.S., Calude, E., Dinneen, M.J. (eds.) DLT 2004. LNCS, vol. 3340, pp. 102–113. Springer, Heidelberg (2004)
Buntrock, G.: Wachsende kontext-sensitive Sprachen. Habilitationsschrift, Fakultät für Mathematik und Informatik, Universität Würzburg (1996)
Buntrock, G., Otto, F.: Growing context-sensitive languages and Church-Rosser languages. Inform. and Comput. 141, 1–36 (1998)
Dahlhaus, E., Warmuth, M.: Membership for growing context-sensitive grammars is polynomial. J. Comput. System Sci. 33, 456–472 (1986)
Holzer, M., Kutrib, M.: Flip-Pushdown Automata: k + 1 Pushdown Reversals Are Better Than k. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds.) ICALP 2003. LNCS, vol. 2719, pp. 490–501. Springer, Heidelberg (2003)
Hopcroft, J.E., Ullman, J.D.: Introduction to Automata Theory, Languages, and Computation. Addison-Wesley, Reading (1979)
McNaughton, R., Narendran, P., Otto, F.: Church-Rosser Thue systems and formal languages. J. Assoc. Comput. Mach. 35, 324–344 (1988)
Niemann, G., Otto, F.: The Church-Rosser languages are the deterministic variants of the growing context-sensitive languages. FOSSACS 1998 197, 1–21 (2005); An extended abstract appeared in Nivat, M. (ed.) FoSSaCS 1998. LNCS, vol. 1378, pp. 243–257. Springer, Berlin (1998)
Otto, F., Moriya, E.: Shrinking alternating two-pushdown automata. IEICE Trans. on Inform. and Systems E87-D, 959–966 (2004)
Paul, W.J.: On-line simulation of k + 1 tapes by k tapes requires nonlinear time. Inform. and Control 53, 1–8 (1982)
Paul, W.J., Prauß, E., Reischuk, R.: On alternation. Acta Inform. 14, 243–255 (1980)
Paul, W.J., Pippenger, N., Szemerédi, E., Trotter, W.T.: On determinism versus non-determinism and related problems. In: 24th Annual Symposium on Foundations of Computer Science, Proc., pp. 429–438. IEEE Computer Society, Los Angeles (1983)
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Holzer, M., Otto, F. (2005). Shrinking Multi-pushdown Automata. In: Liśkiewicz, M., Reischuk, R. (eds) Fundamentals of Computation Theory. FCT 2005. Lecture Notes in Computer Science, vol 3623. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11537311_27
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DOI: https://doi.org/10.1007/11537311_27
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