By Neil D. Jones, Nina Bohr (auth.), Vincent van Oostrom (eds.)
ISBN-10: 3540221530
ISBN-13: 9783540221531
ISBN-10: 3540259791
ISBN-13: 9783540259794
This ebook constitutes the refereed complaints of the fifteenth foreign convention on Rewriting innovations and functions, RTA 2004, held in Aachen, Germany in June 2004.
Read Online or Download Rewriting Techniques and Applications: 15th International Conference, RTA 2004, Aachen, Germany, June 3-5, 2004. Proceedings PDF
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Extra info for Rewriting Techniques and Applications: 15th International Conference, RTA 2004, Aachen, Germany, June 3-5, 2004. Proceedings
Example text
We use the symbols to denote types. For every type we assume a countably infinite set of variables of that type, written as for base types and as for functional types. , S-expressions) of type is recursively defined by: (i) for and (ii) for and We define The symbols denote terms. The notation is sometimes used to indicate the type of a term explicitly. In keeping well-typed structure we make use of the usual notions of substitution of a term denoted as and replacement in a context, denoted as A rewrite rule, written as is a pair of typed terms such that and and have the same type.
Kruskal, Well quasi ordering, the tree theorem and Vazsonyi’s conjecture, Trans. Am. Math. Soc. 95 (1960) 210-225. 54 Yoshihito Toyama 10. K. Kusakari, On Proving Termination of Term Rewriting Systems with HigherOrder Variables, IPSJ Trans. on Prog. 42, SIG-7 (2001) 35-45. 11. M. Linfantsev and L. Bachmair, An LPO-based termination ordering for higherorder terms without Lecture Notes in Comput. Sci. 1479 (1998) 277-293. 12. O. Lysne and J. Piri,. A termination ordering for higher order rewrite systems, Lecture Notes in Comput.
Let sider the following SRS For the first rule second rule we have (i) because (iii) have since it is compatible with with map > cons > nil and con- is trivial by the subterm property. For the because map > cons, (ii) and and because From this we Thus is terminating Note that in the above example, map is represented as a crimped notion by the extra parentheses [11], instead of the usual flat notion This crimping is necessary in our ordering because Example 2 (maplist). Let consider the following SRS Then and is terminating since it can be shown to be compatible with Example 3 (twice).
Rewriting Techniques and Applications: 15th International Conference, RTA 2004, Aachen, Germany, June 3-5, 2004. Proceedings by Neil D. Jones, Nina Bohr (auth.), Vincent van Oostrom (eds.)
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