Abstract
Traditionally, from an algebraic viewpoint, automata work over free monoids. The present chapter, however, modifies this standard approach so they work over other algebraic structures. More specifically, this chapter discusses a modification of pushdown automata that is based on two-sided pushdowns into which symbols are pushed from both ends.
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Bibliography
J. Autebert, J. Berstel, L. Boasson, (eds.), Context-Free Languages and Pushdown Automata, in Handbook of Formal Languages, chapter 3 (Springer, Berlin, 1997), pp. 111–174
B. Courcelle, On jump deterministic pushdown automata. Math. Syst. Theory 11, 87–109 (1977)
S. Ginsburg, S.A. Greibach, M. Harrison, One-way stack automata. J. ACM 14(2), 389–418 (1967)
S.A. Greibach, Checking automata and one-way stack languages. J. Comput. Syst. Sci. 3, 196–217 (1969)
S. Ginsburg, E. Spanier, Finite-turn pushdown automata. SIAM J. Control 4, 429–453 (1968)
D. Kolář, A. Meduna, Regulated pushdown automata. Acta Cybernetica 2000(4), 653–664 (2000)
A. Meduna, Automata and Languages: Theory and Applications (Springer, London, 2000)
A. Meduna, Simultaneously one-turn two-pushdown automata. Int. J. Comput. Math. 2003(80), 679–687 (2003)
P. Sarkar, Pushdown automaton with the ability to flip its stack, in TR01-081, Electronic Colloquium on Computational Complexity (ECCC), 2001
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Meduna, A., Soukup, O. (2017). Algebra, Automata, and Computation. In: Modern Language Models and Computation. Springer, Cham. https://doi.org/10.1007/978-3-319-63100-4_10
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DOI: https://doi.org/10.1007/978-3-319-63100-4_10
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