Presentation 2004-08-03
On Simulation-Completeness of Unraveling for Conditional Term Rewriting Systems
Naoki NISHIDA, Masahiko SAKAI, Toshiki SAKABE,
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Abstract(in English) Transformations from conditional term rewriting systems (CTRSs) over (original) signatures into term rewriting systems (TRSs) over the exteded signatures, are called unravelings. They are not always simulation-complete for any input CTRS. Here simulation-completeness means that every rewrite sequence of the unraveled CTRSs (the output TRSs), whose initial and final terms are over the original signatures, can be simulated by a rewrite sequence of the original CTRSs. We have proposed an unraveling which generates left-linear, right-linear and non-erasing TRSs from CTRSs satisfying some syntactic conditions, respectively. In this paper, we show two conditions that the unraveling is simulation-complete for CTRSs. One is that the unraveled CTRSs are right-linear and non-erasing, and the other is that they are left-linear. Under the latter condition, we assume that any redex introduced by extra variables is not reduced anywhere in the rewrite sequences of the unraveled CTRSs.
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Keyword(in English) program transformation / right-linearity / non-erasingness / left-linearity / extra variable
Paper # SS2004-18
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Committee SS
Conference Date 2004/7/27(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Simulation-Completeness of Unraveling for Conditional Term Rewriting Systems
Sub Title (in English)
Keyword(1) program transformation
Keyword(2) right-linearity
Keyword(3) non-erasingness
Keyword(4) left-linearity
Keyword(5) extra variable
1st Author's Name Naoki NISHIDA
1st Author's Affiliation Graduate School of Information Science, Nagoya University()
2nd Author's Name Masahiko SAKAI
2nd Author's Affiliation Graduate School of Information Science, Nagoya University
3rd Author's Name Toshiki SAKABE
3rd Author's Affiliation Graduate School of Information Science, Nagoya University
Date 2004-08-03
Paper # SS2004-18
Volume (vol) vol.104
Number (no) 243
Page pp.pp.-
#Pages 6
Date of Issue