License: 
Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.CALCO.2015.336
URN: urn:nbn:de:0030-drops-55436
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5543/
Milius, Stefan ;
Wißmann, Thorsten
Finitary Corecursion for the Infinitary Lambda Calculus
Abstract
Kurz et al. have recently shown that infinite lambda-trees with finitely many free variables modulo alpha-equivalence form a final coalgebra for a functor on the category of nominal sets. Here we investigate the rational fixpoint of that functor. We prove that it is formed by all rational lambda-trees, i.e. those lambda-trees which have only finitely many subtrees (up to isomorphism). This yields a corecursion principle that allows the definition of operations such as substitution on rational lambda-trees.
BibTeX - Entry
@InProceedings{milius_et_al:LIPIcs:2015:5543,
author = {Stefan Milius and Thorsten Wi{\ss}mann},
title = {{Finitary Corecursion for the Infinitary Lambda Calculus}},
booktitle = {6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)},
pages = {336--351},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-939897-84-2},
ISSN = {1868-8969},
year = {2015},
volume = {35},
editor = {Lawrence S. Moss and Pawel Sobocinski},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2015/5543},
URN = {urn:nbn:de:0030-drops-55436},
doi = {10.4230/LIPIcs.CALCO.2015.336},
annote = {Keywords: rational trees, infinitary lambda calculus, coinduction}
}
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Keywords: |
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rational trees, infinitary lambda calculus, coinduction |
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Collection: |
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6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015) |
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Issue Date: |
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2015 |
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Date of publication: |
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28.10.2015 |
