Proof of termination of the rewriting system SUBSET on CCL (Q1822494)
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scientific article; zbMATH DE number 4003516
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of termination of the rewriting system SUBSET on CCL |
scientific article; zbMATH DE number 4003516 |
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Proof of termination of the rewriting system SUBSET on CCL (English)
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1986
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\textit{P. L. Curien} [Categorical combinators, sequential algorithms and functional programming (Pitman, London, 1985)] defines a translation of the \(\lambda\) c-calculus in the Pure Combinatory Categorical Logic and establishes an equivalence theorem between these two theories. The rewriting system SUBSET simulates in particular the substitution of the \(\lambda\) c-calculus. This system is locally confluent. We shall show here that it is also noetherian.
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\(\lambda \) c-calculus
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Pure Combinatory Categorical Logic
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rewriting system
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