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Expedited Broda-Damas bracket abstraction - MaRDI portal

Expedited Broda-Damas bracket abstraction (Q2710613)

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Expedited Broda-Damas bracket abstraction
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    Expedited Broda-Damas bracket abstraction (English)
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    21 January 2002
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    lambda-calculus
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    combinators
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    bracket abstraction
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    The Broda-Damas bracket algorithm translates lambda-terms into combinators using Schönfinkel's bracket abstraction and two mappings. Two expedited Broda-Damas algorithms (EBDA1, EBDA2), are defined, both connected with some advantageous features, in particular, EBDA2 requires fewer algorithm steps for evaluations of abstractions than EBDA1 (useful if ``the speed of abstraction rather than the simplicity of the abstract is important'').NEWLINENEWLINENEWLINEAll the lambda-terms definable in terms of EBDA1/EBDA2 can be abstracted without the use of (the combinator) K.
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