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Books > Science & Mathematics > Mathematics > Mathematical foundations
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The Parametric Lambda Calculus - A Metamodel for Computation (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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The Parametric Lambda Calculus - A Metamodel for Computation (Paperback, Softcover reprint of hardcover 1st ed. 2004)
Series: Texts in Theoretical Computer Science. An EATCS Series
Expected to ship within 18 - 22 working days
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The A-calculus was invented by Church in the 1930s with the purpose
of sup plying a logical foundation for logic and mathematics 25].
Its use by Kleene as a coding for computable functions makes it the
first programming lan guage, in an abstract sense, exactly as the
Thring machine can be considered the first computer machine 57].
The A-calculus has quite a simple syntax (with just three formation
rules for terms) and a simple operational seman tics (with just one
operation, substitution), and so it is a very basic setting for
studying computation properties. The first contact between
A-calculus and real programming languages was in the years
1956-1960, when McCarthy developed the LISP programming language,
inspired from A-calculus, which is the first "functional" program
ming language, Le., where functions are first-dass citizens 66].
But the use of A-calculus as an abstract paradigm for programming
languages started later as the work of three important scientists:
Strachey, Landin and B6hm."
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