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Published in:
2012 | OriginalPaper | Chapter
Correct Looping Arrows from Cyclic Terms
Traced Categorical Interpretation in Haskell
Author : Makoto Hamana
Published in: Functional and Logic Programming
Publisher: Springer Berlin Heidelberg
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Arrows involving a loop operator provide an interesting programming methodology for looping computation. On the other hand, Haskell can define cyclic data structures by recursive definitions. This paper shows that there exists a common principle underlying both cyclic data and cyclic computations of arrow programs. We examine three concrete examples of constructing looping arrows from a syntactic structure called cyclic terms. Then we present a general pattern of constructing correct looping arrows, that is based on categorical semantics of loops and arrows, i.e. traced and Freyd categories.