Implementation of a simple dimensionality checking system in Ada 2012

Schonberg, Edmond; Pucci, Vincent

doi:10.1145/2402676.2402692

Cited by 2 publications

(2 citation statements)

References 2 publications

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“…It does not appear to support the implicit definition of conversion between units but if extended to do so, would need to contend with the problem of commuting graphs. The same is true for F# which has support for units of measure [4] and Ada's GNAT compiler [6].…”

Section: Related Workmentioning

confidence: 77%

Online verification of commutativity

Kabra

Geisler

Sampson

2020

Proceedings of the 11th ACM SIGPLAN International Workshop on Tools for Automatic Program Analysis

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Systems of transformations arise in many programming systems, such as in graphs of implicit type conversion functions. It is important to ensure that these diagrams commute: that composing any path of transformations from the same source to the same destination yields the same result. However, a straightforward approach to verifying commutativity must contend with cycles, and even so it runs in exponential time. Previous work has shown how to verify commutativity in the special case of acyclic diagrams in (| | 4 | | 2) time, but this is a batch algorithm: the entire diagram must be known ahead of time. We present an online algorithm that efficiently verifies that a commutative diagram remains commutative when adding a new edge. The new incremental algorithm runs in (| | 2 (| | + | |)) time. For the case when checking the equality of paths is expensive, we also present an optimization that runs in (| | 4) time but reduces to the minimum possible number of equality checks. We implement the algorithms and compare them to batch baselines, and we demonstrate their practical application in the compiler of a domain-specific language for geometry types. To study the algorithms' scalability to large diagrams, we apply them to discover discrepancies in currency conversion graphs.

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Section: Related Workmentioning

confidence: 77%

Online verification of commutativity

Kabra

Geisler

Sampson

2020

Proceedings of the 11th ACM SIGPLAN International Workshop on Tools for Automatic Program Analysis

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“…We also want to introduce a feature that is not part of the SPARK language itself, but an implementation-defined extension of the GNAT compiler, and thus available for SPARK programs. Since Ada 2012, the GNAT compiler offers a dimension system for numeric types through implementation-defined aspects [9]. The dimension system can consist of up to seven base dimensions, and physical quantities are declared as subtypes, annotated with the exponents of each dimension.…”

Section: The Gnat Dimensionality Checking Systemmentioning

confidence: 99%

Development and Verification of a Flight Stack for a High-Altitude Glider in Ada/SPARK 2014

Becker

Regnath

Chakraborty

2017

Lecture Notes in Computer Science

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Abstract. SPARK 2014 is a modern programming language and a new state-of-the-art tool set for development and verification of high-integrity software. In this paper, we explore the capabilities and limitations of its latest version in the context of building a flight stack for a high-altitude unmanned glider. Towards that, we deliberately applied static analysis early and continuously during implementation, to give verification the possibility to steer the software design. In this process we have identified several limitations and pitfalls of software design and verification in SPARK, for which we give workarounds and protective actions to avoid them. Finally, we give design recommendations that have proven effective for verification, and summarize our experiences with this new language.

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Implementation of a simple dimensionality checking system in Ada 2012

Cited by 2 publications

References 2 publications

Online verification of commutativity

Online verification of commutativity

Development and Verification of a Flight Stack for a High-Altitude Glider in Ada/SPARK 2014

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