Proof of termination of the rewriting system SUBSET on CCL (Q1822494)

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scientific article; zbMATH DE number 4003516
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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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