The Parametric Lambda Calculus: A Metamodel for Computation / Edition 1

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"The parametric lambda calculus is used as a tool for presenting in a uniform way basic notions of programming languages, and for studying with a uniform approach some lambda calculi modeling different kinds of computations, such as call-by-name, both in its lazy and non-lazy versions, and call-by-value. The parametric presentation allows us both to prove in one step all the fundamental properties of different calculi, and to compare them with each other." The book includes some classical results in the field of lambda calculi, but completely rephrased using the parametric approach, together with some new results. The lambda calculi are presented from a computer science viewpoint, with particular emphasis on their semantics, both operational and denotational.
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Product Details

Meet the Author

Simona Ronchi Della Rocca: Full Professor of Foundations of Computer Science since 1987, Member of the Editorial Board of TOCL (ACM Transactions on Computational Logic), Member of the Organizing Committee of LICS (Logic in Computer Science), Member of the Accademy of Sciences of Torino

Luca Paolini: PhD student in Computer Science and Discrete Mathematics, Università di Genova and Université de la Mediterranée.


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Table of Contents

1 The parametric [lambda]-calculus 3
2 The call-by-name [lambda]-calculus 25
3 The call-by-value [lambda]-calculus 35
4 Further reading 61
5 Parametric operational semantics 65
6 Call-by-name operational semantics 73
7 Call-by-value operational semantics 89
8 Operational extensionality 95
9 Further reading 101
10 [lambda][Delta]-models 105
11 Call-by-name denotational semantics 119
12 Call-by-value denotational semantics 181
13 Filter [lambda][Delta]-models and domains 207
14 Further reading 221
15 Preliminaries 225
16 Representing functions 233
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