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Extensible datasort refinements. (English) Zbl 06721332
Yang, Hongseok (ed.), Programming languages and systems. 26th European symposium on programming, ESOP 2017, held as part of the European joint conferences on theory and practice of software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017. Proceedings. Berlin: Springer (ISBN 978-3-662-54433-4/pbk; 978-3-662-54434-1/ebook). Lecture Notes in Computer Science 10201, 476-503 (2017).
Summary: Refinement types turn typechecking into lightweight verification. The classic form of refinement type is the datasort refinement, in which datasorts identify subclasses of inductive datatypes.
Existing type systems for datasort refinements require that all the refinements of a type be specified when the type is declared; multiple refinements of the same type can be obtained only by duplicating type definitions, and consequently, duplicating code.
We enrich the traditional notion of a signature, which describes the inhabitants of datasorts, to allow re-refinement via signature extension, without duplicating definitions. Since arbitrary updates to a signature can invalidate the inversion principles used to check case expressions, we develop a definition of signature well-formedness that ensures that extensions maintain existing inversion principles. This definition allows different parts of a program to extend the same signature in different ways, without conflicting with each other. Each part can be type-checked independently, allowing separate compilation.
For the entire collection see [Zbl 1360.68021].
MSC:
68Nxx Theory of software
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