Z Specification for the W3C Editor's Draft Core SHACL Semantics
Arthur Ryman

TL;DR
This paper formalizes the W3C Core SHACL Semantics using Z notation, revealing quality issues and confirming the well-foundedness of recursive definitions, paving the way for further validation with executable specifications.
Contribution
It introduces a formal Z notation model for the SHACL semantics, identifying issues and ensuring recursive definitions are well-founded.
Findings
Identified quality issues in the draft specification
Confirmed recursive definitions are well-founded
Established foundation for further formal validation
Abstract
This article provides a formalization of the W3C Draft Core SHACL Semantics specification using Z notation. This formalization exercise has identified a number of quality issues in the draft. It has also established that the recursive definitions in the draft are well-founded. Further formal validation of the draft will require the use of an executable specification technology.
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Taxonomy
TopicsModel-Driven Software Engineering Techniques · Formal Methods in Verification · Logic, programming, and type systems
