A construction of one-point bases in extended lambda calculi

Mayer Goldberg

doi:10.1016/j.ipl.2003.12.005

A construction of one-point bases in extended lambda calculi

Mayer Goldberg

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We present a general schema for constructing infinitely-many one-point bases for λK-calculi extended by finitely-many constants. The constants are usually present in programming languages, and may involve reduction rules other than β-reduction. The construction can be implemented in a functional subset of LISP/Scheme, giving one-point bases for applicative-order calculi extended by constants from the underlying programming language.

Original language	English
Pages (from-to)	281-286
Number of pages	6
Journal	Information Processing Letters
Volume	89
Issue number	6
DOIs	https://doi.org/10.1016/j.ipl.2003.12.005
State	Published - 31 Mar 2004

Keywords

Bases
Constants
Functional programming
Lambda calculi
Programming calculi
Programming languages

ASJC Scopus subject areas

Theoretical Computer Science
Signal Processing
Information Systems
Computer Science Applications

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10.1016/j.ipl.2003.12.005

Cite this

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abstract = "We present a general schema for constructing infinitely-many one-point bases for λK-calculi extended by finitely-many constants. The constants are usually present in programming languages, and may involve reduction rules other than β-reduction. The construction can be implemented in a functional subset of LISP/Scheme, giving one-point bases for applicative-order calculi extended by constants from the underlying programming language.",

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AB - We present a general schema for constructing infinitely-many one-point bases for λK-calculi extended by finitely-many constants. The constants are usually present in programming languages, and may involve reduction rules other than β-reduction. The construction can be implemented in a functional subset of LISP/Scheme, giving one-point bases for applicative-order calculi extended by constants from the underlying programming language.

KW - Bases

KW - Constants

KW - Functional programming

KW - Lambda calculi

KW - Programming calculi

KW - Programming languages

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DO - 10.1016/j.ipl.2003.12.005

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SP - 281

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ER -

A construction of one-point bases in extended lambda calculi

Abstract

Keywords

ASJC Scopus subject areas

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