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==Two-way pushdown automaton==
A [[pushdown automaton]] that is allowed to move either way on its input tape is called '''two-way pushdown automaton''' ('''2PDA''');<ref>{{cite book| author1=John E. Hopcroft
it has been studied by Hartmanis, Lewis, and Stearns (1965).<ref>{{cite book|author1=J. Hartmanis |author2=P.M. Lewis II, R.E. Stearns| chapter=Hierarchies of Memory Limited Computations| title=Proc. 6th Ann. IEEE Symp. on Switching Circuit Theory and Logical Design| year=1965| pages=179–190}}</ref>
Aho, Hopcroft, Ullman (1968)<ref>{{cite journal|author1=Alfred V. Aho |author2=John E. Hopcroft |author3=Jeffrey D. Ullman | title=Time and Tape Complexity of Pushdown Automaton Languages| journal=Information and Control| year=1968| volume=13| number=3| pages=186–206| doi=10.1016/s0019-9958(68)91087-5}}</ref>
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