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A metaprogramming framework for formal verification

Authors:

Sebastian Ullrich,

Leonardo de MouraAuthors Info & Claims

Proceedings of the ACM on Programming Languages, Volume 1, Issue ICFP

Article No.: 34, Pages 1 - 29

https://doi.org/10.1145/3110278

Published: 29 August 2017 Publication History

Abstract

We describe the metaprogramming framework currently used in Lean, an interactive theorem prover based on dependent type theory. This framework extends Lean's object language with an API to some of Lean's internal structures and procedures, and provides ways of reflecting object-level expressions into the metalanguage. We provide evidence to show that our implementation is performant, and that it provides a convenient and flexible way of writing not only small-scale interactive tactics, but also more substantial kinds of automation.

Supplementary Material

Auxiliary Archive (icfp17-main19-s.zip)

A virtual machine image that contains all examples and benchmarks from the paper, as well as installations of the required theorem provers. For more information, please see the included `ReadMe.txt` file.

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Cited By

Zhuchko EVeanes MEbner GTimany ATraytel DPientka BBlazy S(2024)Lean Formalization of Extended Regular Expression Matching with LookaroundsProceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3636501.3636959(118-131)Online publication date: 9-Jan-2024
https://dl.acm.org/doi/10.1145/3636501.3636959
Rivière PSingh NAït-Ameur Y(2024)Reflexive Event-B: Semantics and Correctness the EB4EB FrameworkIEEE Transactions on Reliability10.1109/TR.2022.321964973:2(835-850)Online publication date: Jun-2024
https://doi.org/10.1109/TR.2022.3219649
Wei QWu HShi FWan YNing H(2024)A Tutorial on Meta-Services and Services Computing in MetaverseIEEE Internet of Things Journal10.1109/JIOT.2023.334690111:10(16981-16995)Online publication date: 15-May-2024
https://doi.org/10.1109/JIOT.2023.3346901
Show More Cited By

Index Terms

A metaprogramming framework for formal verification
1. Software and its engineering
  1. Software notations and tools
    1. General programming languages
      1. Language types
        Functional languages
2. Theory of computation
  1. Computational complexity and cryptography
    1. Interactive proof systems
  2. Logic
    1. Type theory

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cover image Proceedings of the ACM on Programming Languages

Proceedings of the ACM on Programming Languages Volume 1, Issue ICFP

September 2017

1173 pages

EISSN:2475-1421

DOI:10.1145/3136534

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Copyright © 2017 ACM.

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Publication History

Published: 29 August 2017

Published in PACMPL Volume 1, Issue ICFP

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Cited By

Zhuchko EVeanes MEbner GTimany ATraytel DPientka BBlazy S(2024)Lean Formalization of Extended Regular Expression Matching with LookaroundsProceedings of the 13th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3636501.3636959(118-131)Online publication date: 9-Jan-2024
https://dl.acm.org/doi/10.1145/3636501.3636959
Rivière PSingh NAït-Ameur Y(2024)Reflexive Event-B: Semantics and Correctness the EB4EB FrameworkIEEE Transactions on Reliability10.1109/TR.2022.321964973:2(835-850)Online publication date: Jun-2024
https://doi.org/10.1109/TR.2022.3219649
Wei QWu HShi FWan YNing H(2024)A Tutorial on Meta-Services and Services Computing in MetaverseIEEE Internet of Things Journal10.1109/JIOT.2023.334690111:10(16981-16995)Online publication date: 15-May-2024
https://doi.org/10.1109/JIOT.2023.3346901
Avigad J(2024)Automated Reasoning for MathematicsAutomated Reasoning10.1007/978-3-031-63498-7_1(3-20)Online publication date: 3-Jul-2024
https://dl.acm.org/doi/10.1007/978-3-031-63498-7_1
Hu JPientka B(2024)Layered Modal Type TheoryProgramming Languages and Systems10.1007/978-3-031-57262-3_3(52-82)Online publication date: 6-Apr-2024
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Grégoire BLéchenet JTassi EKrebbers RTraytel DPientka BZdancewic S(2023)Practical and Sound Equality Tests, Automatically: Deriving eqType Instances for Jasmin’s Data Types with Coq-ElpiProceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs10.1145/3573105.3575683(167-181)Online publication date: 11-Jan-2023
https://dl.acm.org/doi/10.1145/3573105.3575683
Di Sandro AMurphy LViger TChechik M(2023)MMINT-A: A Framework for Model-Based Safety AssuranceScience of Computer Programming10.1016/j.scico.2023.103004(103004)Online publication date: Aug-2023
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Ebner GBlanchette JTourret S(2023)Unifying SplittingJournal of Automated Reasoning10.1007/s10817-023-09660-867:2Online publication date: 28-Apr-2023
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Rivière PSingh NAït-Ameur YDupont G(2023)Formalising Liveness Properties in Event-B with the Reflexive EB4EB FrameworkNASA Formal Methods10.1007/978-3-031-33170-1_19(312-331)Online publication date: 3-Jun-2023
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Rivière PSingh NAït-Ameur YDupont G(2023)Standalone Event-B Models Analysis Relying on the EB4EB Meta-theoryRigorous State-Based Methods10.1007/978-3-031-33163-3_15(193-211)Online publication date: 30-May-2023
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