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Term rewriting for normalization by evaluation. (English) Zbl 1054.68078
Summary: We extend normalization by evaluation from the pure typed \(\lambda\)-calculus to general higher type term rewriting systems and prove its correctness with respect to a domain-theoretic model. We distinguish between computational rules and proper rewrite rules. The former is a rather restricted class of rules, which, however, allows for a more efficient implementation.

MSC:
68Q42 Grammars and rewriting systems
68N18 Functional programming and lambda calculus
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