This paper is devoted to the proof and applications of a the- orem giving conditions under which the inverse of a partial function can be expressed as a ...
This paper is devoted to the proof, applications, and generalisation of a theorem, due to Bird and de Moor, that gave conditions under which a total function ...
The converse-of-a-function theorem, to which this paper is devoted, gives us conditions under which the inverse of a function can be written as a fold. In the ...
Jun 21, 2002 · This paper is devoted to the proof and applications of a theorem giving conditions under which the inverse of a partial function can be ...
Sep 1, 2016 · This paper is devoted to the proof and applications of a the- orem giving conditions under which the inverse of a partial function can be ...
Theory and Applications of Inverting Functions as Folds. Shin−Cheng Mu and Richard S. Bird. Journal. Science of Computer Programming. Number. 1−2. Pages. 87−116.
Oct 22, 2024 · This paper describes a technique for constructing the inverse of a partial function as a relational hylomorphism. When the function is total ...
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Apr 27, 2011 · In other words, if you drew the graph of a function and its inverse on a piece of paper and then folded the paper along the line y=x, the two graphs would line ...
Oct 18, 2012 · Under this scheme, functions such as length or sum can be implemented by calling fold with the appropriate Fold object as argument. Now, suppose ...
A folding function is a function that maps the integers Z={...,-3,-2,-1,0,1,2,3,...} onto the nonnegative integers Z^*={0,1,2,3,...}.