Abstract
In a recent work we have proposed let-rewriting, a simple one-step relation close to ordinary term rewriting but able, via local bindings, to express sharing of computed values. In this way, let-rewriting reflects the call-time choice semantics for non-determinism adopted by modern functional logic languages, where programs are rewrite systems possibly non-confluent and non-terminating. In this paper we extend that work providing a notion of let-narrowing which is adequate for call-time choice as proved by soundness and completeness results of let-narrowing with respect to let-rewriting. Completeness is based on a lifting lemma for let-rewriting similar to Hullot’s lifting lemma for ordinary rewriting and narrowing. Our work copes with first order, left linear, constructor-based rewrite systems with no other restrictions about confluence, termination or presence of extra variables in right-hand sides of rules.
This work has been partially supported by the Spanish projects Merit-Forms-UCM (TIN2005-09207-C03-03) and Promesas-CAM (S-0505/TIC/0407).
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López-Fraguas, F.J., Rodríguez-Hortalá, J., Sánchez-Hernández, J. (2009). Narrowing for First Order Functional Logic Programs with Call-Time Choice Semantics. In: Seipel, D., Hanus, M., Wolf, A. (eds) Applications of Declarative Programming and Knowledge Management. INAP WLP 2007 2007. Lecture Notes in Computer Science(), vol 5437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00675-3_14
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