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Published in:
2008 | OriginalPaper | Chapter
Algebra of Programming Using Dependent Types
Authors : Shin-Cheng Mu, Hsiang-Shang Ko, Patrik Jansson
Published in: Mathematics of Program Construction
Publisher: Springer Berlin Heidelberg
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Dependent type theory is rich enough to express that a program satisfies an input/output relational specification, but it could be hard to construct the proof term. On the other hand, squiggolists know very well how to show that one relation is included in another by algebraic reasoning. We demonstrate how to encode functional and relational derivations in a dependently typed programming language. A program is coupled with an algebraic derivation from a specification, whose correctness is guaranteed by the type system.