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Inverting Functions as Folds
 ShinCheng Mu,
 Richard Bird
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Abstract
This paper is devoted to the proof and applications of a theorem giving conditions under which the inverse of a partial function can be expressed as a relational hylomorphism. The theorem is a generalisation of a previous result, due to Bird and de Moor, that gave conditions under which a total function can be expressed a relational fold. The theorem is illustrated with three problems, all dealing with constructing trees with various properties.
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 Title
 Inverting Functions as Folds
 Book Title
 Mathematics of Program Construction
 Book Subtitle
 6th International Conference, MPC 2002 Dagstuhl Castle, Germany, July 8–10, 2002 Proceedings
 Pages
 pp 209232
 Copyright
 2002
 DOI
 10.1007/354045442X_13
 Print ISBN
 9783540438571
 Online ISBN
 9783540454427
 Series Title
 Lecture Notes in Computer Science
 Series Volume
 2386
 Series ISSN
 03029743
 Publisher
 Springer Berlin Heidelberg
 Copyright Holder
 SpringerVerlag Berlin Heidelberg
 Additional Links
 Topics
 Industry Sectors
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 Editors

 Eerke A. Boiten ^{(4)}
 Bernhard Möller ^{(5)}
 Editor Affiliations

 4. Computing Laboratory, University of Kent at Canterbury
 5. Institut für Informatik, Universität Augsburg
 Authors

 ShinCheng Mu ^{(6)}
 Richard Bird ^{(6)}
 Author Affiliations

 6. Programming Research Group, Oxford University, Wolfson Building, Parks Road, OX1 3QD, UK
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