Abstract
We have shown that every CFL is accepted by some NPDA. Now we show conversely that NPDAs accept only CFLs. Thus NPDAs and CFGs are equivalent in expressive power. We will do this in two steps by showing that
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(i)
every NPDA can be simulated by an NPDA with one state; and
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(ii)
every NPDA with one state has an equivalent CFG.
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© 1977 Springer Science+Business Media New York
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Kozen, D.C. (1977). Simulating NPDAs by CFGs. In: Automata and Computability. Undergraduate Texts in Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85706-5_30
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DOI: https://doi.org/10.1007/978-3-642-85706-5_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-85708-9
Online ISBN: 978-3-642-85706-5
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