Presentation 1998/1/21
On Confluent Property of Type-II_n Conditional Term Rewrite Systems
Tohru Nishimura, Masahiko Sakai, Toshiki Sakabe,
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Abstract(in English) In this paper, we introduce type-II_S conditional term rewrite system (CTRS) by generalizing type-II CTRS where S is a set of terms. The type-II_S CTRS is defined by interpreting s↓t as the condition that s and t are reducible to a common term in a set S, while the type-II CTRS is defined by interpreting s↓t as the condition that s and t are reducible to a common term. Then, type-II CTRS and type-II_n CTRS are defined by taking the set S as all terms and normal forms, respectivly. We also give a sufficient condition of confluence for type-II_S. This condition guarantees that type-II_n orthogonal CTRS is confluent.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) term rewrite systems / conditional term rewrite systems / confluence / orthogonality
Paper # COMP97-84
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Committee COMP
Conference Date 1998/1/21(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Confluent Property of Type-II_n Conditional Term Rewrite Systems
Sub Title (in English)
Keyword(1) term rewrite systems
Keyword(2) conditional term rewrite systems
Keyword(3) confluence
Keyword(4) orthogonality
1st Author's Name Tohru Nishimura
1st Author's Affiliation Department of Information Engineering, Graduate School of Engineering, Nagoya University()
2nd Author's Name Masahiko Sakai
2nd Author's Affiliation Department of Information Engineering, Graduate School of Engineering, Nagoya University
3rd Author's Name Toshiki Sakabe
3rd Author's Affiliation Department of Information Engineering, Graduate School of Engineering, Nagoya University
Date 1998/1/21
Paper # COMP97-84
Volume (vol) vol.97
Number (no) 483
Page pp.pp.-
#Pages 5
Date of Issue