### 抄録

First we give a grammatical (or equational) description of the set {M normal form │ Γ ⊢ M : A} for a given basis Γ and a given type A in the simple type system, and give some applications of the description. Then we extend the idea to systems in λ-cube and more generally to normalizing pure type systems. The attempt resulted in derived (or ‘macro’) rules the totality of which is sound and complete for type assignments of normal terms. A feature of the derived rules is that they reflect the syntactic structure of legal terms in normal form, and thus they may give us more global view than the original definition of the systems.

元の言語 | 英語 |
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ホスト出版物のタイトル | Theoretical Aspects of Computer Software - International Symposium TACS 1994, Proceedings |

編集者 | John C. Mitchell, Masami Hagiya |

出版者 | Springer Verlag |

ページ | 465-493 |

ページ数 | 29 |

ISBN（印刷物） | 9783540578871 |

出版物ステータス | 出版済み - 1 1 1994 |

イベント | 2nd International Symposium on Theoretical Aspects of Computer Software, TACS 1994 - Sendai, 日本 継続期間: 4 19 1994 → 4 22 1994 |

### 出版物シリーズ

名前 | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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巻 | 789 LNCS |

ISSN（印刷物） | 0302-9743 |

ISSN（電子版） | 1611-3349 |

### その他

その他 | 2nd International Symposium on Theoretical Aspects of Computer Software, TACS 1994 |
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国 | 日本 |

市 | Sendai |

期間 | 4/19/94 → 4/22/94 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### これを引用

*Theoretical Aspects of Computer Software - International Symposium TACS 1994, Proceedings*(pp. 465-493). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 789 LNCS). Springer Verlag.

**Normal proofs and their grammar.** / Takahashi, M.; Akama, Y.; Hirokawa, Sachio.

研究成果: 著書/レポートタイプへの貢献 › 会議での発言

*Theoretical Aspects of Computer Software - International Symposium TACS 1994, Proceedings.*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 789 LNCS, Springer Verlag, pp. 465-493, 2nd International Symposium on Theoretical Aspects of Computer Software, TACS 1994, Sendai, 日本, 4/19/94.

}

TY - GEN

T1 - Normal proofs and their grammar

AU - Takahashi, M.

AU - Akama, Y.

AU - Hirokawa, Sachio

PY - 1994/1/1

Y1 - 1994/1/1

N2 - First we give a grammatical (or equational) description of the set {M normal form │ Γ ⊢ M : A} for a given basis Γ and a given type A in the simple type system, and give some applications of the description. Then we extend the idea to systems in λ-cube and more generally to normalizing pure type systems. The attempt resulted in derived (or ‘macro’) rules the totality of which is sound and complete for type assignments of normal terms. A feature of the derived rules is that they reflect the syntactic structure of legal terms in normal form, and thus they may give us more global view than the original definition of the systems.

AB - First we give a grammatical (or equational) description of the set {M normal form │ Γ ⊢ M : A} for a given basis Γ and a given type A in the simple type system, and give some applications of the description. Then we extend the idea to systems in λ-cube and more generally to normalizing pure type systems. The attempt resulted in derived (or ‘macro’) rules the totality of which is sound and complete for type assignments of normal terms. A feature of the derived rules is that they reflect the syntactic structure of legal terms in normal form, and thus they may give us more global view than the original definition of the systems.

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

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EP - 493

BT - Theoretical Aspects of Computer Software - International Symposium TACS 1994, Proceedings

A2 - Mitchell, John C.

A2 - Hagiya, Masami

PB - Springer Verlag

ER -