### Abstract

Two ways of introducing alternation for context-free grammars and pushdown automata are compared. One is the usual way which combines "states" with alternation [1], [4], [7], and the other is the way used in [6] to define the alternating context-free grammar, i.e., alternation is governed by the variables of the grammar. In this paper the latter way is taken over to define a new type of alternating pushdown automaton by combining the "pushdown symbols" of the pushdown automaton with alternation. We have derived a characterization of the original alternating context-free grammars in terms of such a new type of alternating pushdown automaton without states. It is also shown that, if (non-alternating) states are introduced as an additional feature for this type of pushdown automaton, then the resulting alternating pushdown automaton has exactly the same expressive power as the original alternating pushdown automaton.

Original language | English |
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Pages (from-to) | 889-894 |

Number of pages | 6 |

Journal | IEICE Transactions on Information and Systems |

Volume | E90-D |

Issue number | 6 |

DOIs | |

Publication status | Published - 2007 Jun |

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### Keywords

- Alternating context-free grammar
- Alternating pushdown automaton
- Alternation
- Statealternating context-free grammar

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Software
- Artificial Intelligence
- Hardware and Architecture
- Computer Vision and Pattern Recognition

### Cite this

*IEICE Transactions on Information and Systems*,

*E90-D*(6), 889-894. https://doi.org/10.1093/ietisy/e90-d.6.889