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A Fresh Look at the lambda-Calculus (Invited Talk)

Author Beniamino Accattoli

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Author Details

Beniamino Accattoli
  • Inria & LIX, École Polytechnique, UMR 7161, France

Funding

  • Accattoli, Beniamino: This work has been partially funded by the ANR JCJC grant COCA HOLA (ANR-16-CE40-004-01).

Acknowledgements

To Herman Geuvers, Giulio Guerrieri, and Gabriel Scherer for comments on a first draft.

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Beniamino Accattoli. A Fresh Look at the lambda-Calculus (Invited Talk). In 4th International Conference on Formal Structures for Computation and Deduction (FSCD 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 131, pp. 1:1-1:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019) https://doi.org/10.4230/LIPIcs.FSCD.2019.1

Abstract

The (untyped) lambda-calculus is almost 90 years old. And yet - we argue here - its study is far from being over. The paper is a bird’s eye view of the questions the author worked on in the last few years: how to measure the complexity of lambda-terms, how to decompose their evaluation, how to implement it, and how all this varies according to the evaluation strategy. The paper aims at inducing a new way of looking at an old topic, focussing on high-level issues and perspectives.

Subject Classification

ACM Subject Classification
  • Theory of computation → Lambda calculus
  • Software and its engineering → Functional languages
  • Theory of computation → Operational semantics
Keywords
  • lambda-calculus
  • sharing
  • abstract machines
  • type systems
  • rewriting

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