### Abstract

Properties of probabilistic as well as “probabilistic plus nondeterministic” pushdown automata and auxiliary pushdown automata are studied. These models are analogous to their counterparts with nondeterministic and alternating states. Complete characterizations in terms of well-known complexity classes are given for the classes of languages recognized by polynomial time-bounded, logarithmic space-bounded auxiliary pushdown automata with probabilistic states and with “probabilistic plus nondeterministic” states. Also, complexity lower bounds are given for the classes of languages recognized by these automata with unlimited running time. It follows that, by fixing an appropriate mode of computation, the difference between classes of languages such as P and PSPACE, NL and SAC^{1}, PL and Diff_{>}(#SAC^{1}) is characterized as the difference between the number of stack symbols; that is, whether the stack alphabet contains one versus two distinct symbols.

Original language | English (US) |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Publisher | Springer Verlag |

Pages | 343-352 |

Number of pages | 10 |

Volume | 965 |

ISBN (Print) | 3540602496, 9783540602491 |

State | Published - 1995 |

Externally published | Yes |

Event | 10th Conference on Fundamentals of Computation Theory, FCT 1995 - Dresden, Germany Duration: Aug 22 1995 → Aug 25 1995 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
---|---|

Volume | 965 |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 10th Conference on Fundamentals of Computation Theory, FCT 1995 |
---|---|

Country | Germany |

City | Dresden |

Period | 8/22/95 → 8/25/95 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 965, pp. 343-352). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 965). Springer Verlag.

**Properties of probabilistic pushdown automata : (Extended abstract).** / Macarie, Ioan I.; Ogihara, Mitsunori.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*vol. 965, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 965, Springer Verlag, pp. 343-352, 10th Conference on Fundamentals of Computation Theory, FCT 1995, Dresden, Germany, 8/22/95.

}

TY - GEN

T1 - Properties of probabilistic pushdown automata

T2 - (Extended abstract)

AU - Macarie, Ioan I.

AU - Ogihara, Mitsunori

PY - 1995

Y1 - 1995

N2 - Properties of probabilistic as well as “probabilistic plus nondeterministic” pushdown automata and auxiliary pushdown automata are studied. These models are analogous to their counterparts with nondeterministic and alternating states. Complete characterizations in terms of well-known complexity classes are given for the classes of languages recognized by polynomial time-bounded, logarithmic space-bounded auxiliary pushdown automata with probabilistic states and with “probabilistic plus nondeterministic” states. Also, complexity lower bounds are given for the classes of languages recognized by these automata with unlimited running time. It follows that, by fixing an appropriate mode of computation, the difference between classes of languages such as P and PSPACE, NL and SAC1, PL and Diff>(#SAC1) is characterized as the difference between the number of stack symbols; that is, whether the stack alphabet contains one versus two distinct symbols.

AB - Properties of probabilistic as well as “probabilistic plus nondeterministic” pushdown automata and auxiliary pushdown automata are studied. These models are analogous to their counterparts with nondeterministic and alternating states. Complete characterizations in terms of well-known complexity classes are given for the classes of languages recognized by polynomial time-bounded, logarithmic space-bounded auxiliary pushdown automata with probabilistic states and with “probabilistic plus nondeterministic” states. Also, complexity lower bounds are given for the classes of languages recognized by these automata with unlimited running time. It follows that, by fixing an appropriate mode of computation, the difference between classes of languages such as P and PSPACE, NL and SAC1, PL and Diff>(#SAC1) is characterized as the difference between the number of stack symbols; that is, whether the stack alphabet contains one versus two distinct symbols.

UR - http://www.scopus.com/inward/record.url?scp=84947912337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84947912337&partnerID=8YFLogxK

M3 - Conference contribution

SN - 3540602496

SN - 9783540602491

VL - 965

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 343

EP - 352

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer Verlag

ER -