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	<title>WG211/M6RalfLaemmel - Revision history</title>
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	<updated>2026-04-06T01:03:02Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<title>Admin: 1 revision</title>
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		<updated>2011-12-12T10:06:27Z</updated>

		<summary type="html">&lt;p&gt;1 revision&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Category:WG211]]&lt;br /&gt;
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&amp;lt;h2&amp;gt;The Expression Lemma&amp;lt;/h2&amp;gt;&lt;br /&gt;
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&amp;lt;h3&amp;gt;Ralf L&amp;amp;auml;mmel, joint work with Ondrej Rypacek&amp;lt;/h3&amp;gt;&lt;br /&gt;
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Algebraic data types and catamorphisms (folds) play a central role in functional programming as they allow programmers to define recursive data structures and operations on them uniformly by structural recursion. Likewise, in object-oriented (OO) programming, recursive hierarchies of object types with virtual methods play a central role for the same reason. There is a semantical correspondence between these two situations which we reveal and formalize categorically. To this end, we assume a coalgebraic model of OO programming with functional objects. The development may be helpful in deriving refactorings that turn sufficiently disciplined functional programs into OO programs of a designated shape and vice versa.&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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