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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Semi-inversion of Guarded Equations
verfasst von : Torben Æ Mogensen
Erschienen in: Generative Programming and Component Engineering
Verlag: Springer Berlin Heidelberg
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An
inverse
of a program is a program that takes the output of the original program and produces its input. A
semi-inverse
of a program is a program that takes some of the input and some of the output of the original program and produces the remaining input and output. Inversion is, hence, a special case of semi-inversion.
We propose a method for inverting and semi-inverting programs written as guarded equations. The semi-inversion process is divided into four phases: Translation of equations into a relational form, refining operators, determining evaluation order for each equation of the semi-inverted functions and translation of semi-inverted functions back to the original syntax. In cases where the method fails to semi-invert a program, it can suggest which additional parts of the programs input or output are needed to make it work.