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We present a programming pattern where a recursive function defined over a data structure traverses another data structure at return time. The idea is that the recursive calls get us 'there' by traversing the first data structure and the returns get us 'back again' while traversing the second...
We prove some new results about the correctness of transformations of nondeterministic programs. The reported work formalises the intuitive idea that two recursive programs ought to be equivalent, also in a nondeterministic setting, if they can be symbolically unfolded, through deterministic...
Functional programs are particularly well suited to formal manipulation by equational reasoning. In particular, it is straightforward to use calculational methods for program transformation. Well-known transformation techniques, like tupling or the introduction of accumulating parameters, can be...
Recursion is a well-known and powerful programming technique, with a wide variety of applications. The dual technique of corecursion is less well-known, but is increasingly proving to be just as useful. This article is a tutorial on the four main methods for proving properties of corecursive...
We describe a method for automatic program inversion of first-order functional programs based on methods of LR(0) parsing. We formalize the transformation and illustrate it with several example programs. We approach one of the main problems of automatic program inversion - the elimination of...
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