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Research Report - School of Information Science ： ISSN 0918-7553 >
IS-RR-2006 >
Please use this identifier to cite or link to this item:
https://hdl.handle.net/10119/8410
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| Title: | Structural preservation and reflection of diagrams |
| Authors: | Norrish, Michael
Vestergaard, Rene |
| Issue Date: | 2006-07-07 |
| Publisher: | 北陸先端科学技術大学院大学情報科学研究科 |
| Magazine name: | Research report (School of Information Science, Japan Advanced Institute of Science and Technology) |
| Volume: | IS-RR-2006-011 |
| Start page: | 1 |
| End page: | 12 |
| Abstract: | We present a formal notion of diagram that captures standard rewriting properties such as confluence, commuting relations, semi-standardisation, the triangle property, etc. We prove a number of results that imply diagram equivalence between abstractly related rewrite relations, i.e., that show that one enjoys a diagram-expressed property iff the other one does. In particular, we focus on the case where one rewrite system is over structurally collapsed terms of the other. We apply the results to various concrete systems, including the λ-calculus, with its notion of α-equivalence, and cut-elimination, with its notion of permutative conversions. The core theory and substantial applications have been formally verified in the HOL4 proof assistant. |
| URI: | https://hdl.handle.net/10119/8410 |
| Material Type: | publisher |
| Appears in Collections: | IS-RR-2006
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Files in This Item:
| File |
Description |
Size | Format |
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| IS-RR-2006-011.pdf | | 1097Kb | Adobe PDF | View/Open |
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