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DoubleCheck your theorems

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Carl EastlundAuthors Info & Claims

ACL2 '09: Proceedings of the Eighth International Workshop on the ACL2 Theorem Prover and its Applications

Pages 42 - 46

https://doi.org/10.1145/1637837.1637844

Published: 11 May 2009 Publication History

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Abstract

Theorem proving in ACL2 is a complex undertaking. Initial attempts to admit a lemma often fail, in which case the programmer must either redirect ACL2's efforts or change the lemma. ACL2's output does not always indicate whether the formulation of the lemma or the proof process is at fault.

In this paper we present the automated testing framework DoubleCheck as an extension of Dracula, the ACL2 development environment for DrScheme. DoubleCheck creates randomized inputs for ACL2 conjectures and uses those to test the conjecture. If these tests fail, the programmer is presented with a list of counterexamples to the conjecture. DoubleCheck can be used to guide the theorem proving process or, in a classroom setting, as a gentle introduction to automated program verification.

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Prinz JLampropoulos L(2023)Merging Inductive RelationsProceedings of the ACM on Programming Languages10.1145/35912927:PLDI(1759-1778)Online publication date: 6-Jun-2023
https://doi.org/10.1145/3591292
Gamboa RThoney A(2022)Using ACL2 To Teach Students About Software TestingElectronic Proceedings in Theoretical Computer Science10.4204/EPTCS.359.4359(19-32)Online publication date: 24-May-2022
https://doi.org/10.4204/EPTCS.359.4
Chen ZRizkallah CO'Connor LSusarla PKlein GHeiser GKeller GFischer BBurgueño LCazzola W(2022)Property-Based Testing: Climbing the Stairway to VerificationProceedings of the 15th ACM SIGPLAN International Conference on Software Language Engineering10.1145/3567512.3567520(84-97)Online publication date: 29-Nov-2022
https://dl.acm.org/doi/10.1145/3567512.3567520
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DoubleCheck your theorems

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ACL2 '09: Proceedings of the Eighth International Workshop on the ACL2 Theorem Prover and its Applications

May 2009

144 pages

ISBN:9781605587424

DOI:10.1145/1637837

Conference Chairs:
Sandip Ray
University of Texas at Austin
,
David Russinoff
Advanced Micro Devices, Inc.

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Published: 11 May 2009

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ACL2 '09

ACL2 '09: Eighth International Workshop On The ACL2 Theorem Prover and Its Applications

May 11 - 12, 2009

Massachusetts, Boston, USA

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Prinz JLampropoulos L(2023)Merging Inductive RelationsProceedings of the ACM on Programming Languages10.1145/35912927:PLDI(1759-1778)Online publication date: 6-Jun-2023
https://doi.org/10.1145/3591292
Gamboa RThoney A(2022)Using ACL2 To Teach Students About Software TestingElectronic Proceedings in Theoretical Computer Science10.4204/EPTCS.359.4359(19-32)Online publication date: 24-May-2022
https://doi.org/10.4204/EPTCS.359.4
Chen ZRizkallah CO'Connor LSusarla PKlein GHeiser GKeller GFischer BBurgueño LCazzola W(2022)Property-Based Testing: Climbing the Stairway to VerificationProceedings of the 15th ACM SIGPLAN International Conference on Software Language Engineering10.1145/3567512.3567520(84-97)Online publication date: 29-Nov-2022
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Dougherty D(2021)Model Finding for ExplorationProtocols, Strands, and Logic10.1007/978-3-030-91631-2_9(156-174)Online publication date: 19-Nov-2021
https://doi.org/10.1007/978-3-030-91631-2_9
Appel ABeringer LChlipala APierce BShao ZWeirich SZdancewic S(2017)Position paper: the science of deep specificationPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences10.1098/rsta.2016.0331375:2104(20160331)Online publication date: 4-Sep-2017
https://doi.org/10.1098/rsta.2016.0331
HRIŢCU CLAMPROPOULOS LSPECTOR-ZABUSKY AAZEVEDO DE AMORIM ADÉNÈS MHUGHES JPIERCE BVYTINIOTIS D(2016)Testing noninterference, quicklyJournal of Functional Programming10.1017/S095679681600005826Online publication date: 5-Apr-2016
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Eggensperger C(2013)Proof Pad: A New Development Environment for ACL2Electronic Proceedings in Theoretical Computer Science10.4204/EPTCS.114.2114(13-28)Online publication date: 26-Apr-2013
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Hritcu CHughes JPierce BSpector-Zabusky AVytiniotis DAzevedo de Amorim ALampropoulos L(2013)Testing noninterference, quicklyACM SIGPLAN Notices10.1145/2544174.250057448:9(455-468)Online publication date: 25-Sep-2013
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Proof Pearl: a Formal Proof of Higman's Lemma in ACL2

A Formalization of Powerlist Algebra in ACL2

An embedding of the ACL2 logic in HOL

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