The Joinability and Related Decision Problems for Semi-constructor TRSs
書誌事項
- タイトル別名
-
- Joinability and Related Decision Problems for Semi constructor TRSs
- 計算理論
この論文をさがす
抄録
The word and unification problems for term rewriting systems (TRSs) are most important ones and their decision algorithms have various useful applications in computer science. Algorithms of deciding joinability for TRSs are often used to obtain algorithms that decide these problems. In this paper we first show that the joinability problem is undecidable for linear semi-constructor TRSs. Here a semi-constructor TRS is such a TRS that all defined symbols appearing in the right-hand side of each rewrite rule occur only in its ground subterms. Next we show that this problem is decidable both for confluent semi-constructor TRSs and for confluent semi-monadic TRSs. This result implies that the word problem is decidable for these classes and will be used to show that unification is decidable for confluent semi-constructor TRSs in our forthcoming paper.
The word and unification problems for term rewriting systems (TRSs) are most important ones and their decision algorithms have various useful applications in computer science. Algorithms of deciding joinability for TRSs are often used to obtain algorithms that decide these problems. In this paper, we first show that the joinability problem is undecidable for linear semi-constructor TRSs. Here, a semi-constructor TRS is such a TRS that all defined symbols appearing in the right-hand side of each rewrite rule occur only in its ground subterms. Next, we show that this problem is decidable both for confluent semi-constructor TRSs and for confluent semi-monadic TRSs. This result implies that the word problem is decidable for these classes, and will be used to show that unification is decidable for confluent semi-constructor TRSs in our forthcoming paper.
収録刊行物
-
- 情報処理学会論文誌
-
情報処理学会論文誌 47 (5), 1502-1514, 2006-05-15
東京 : 情報処理学会
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1050001337882553344
-
- NII論文ID
- 110004720713
-
- NII書誌ID
- AN00116647
-
- ISSN
- 18827764
- 03875806
-
- NDL書誌ID
- 7957309
-
- 本文言語コード
- en
-
- 資料種別
- journal article
-
- データソース種別
-
- IRDB
- NDL
- CiNii Articles