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Compositional recurrence analysis revisited

Authors:

Zachary Kincaid,

Ashkan Forouhi Boroujeni,

Thomas RepsAuthors Info & Claims

ACM SIGPLAN Notices, Volume 52, Issue 6

Pages 248 - 262

https://doi.org/10.1145/3140587.3062373

Published: 14 June 2017 Publication History

Abstract

Compositional recurrence analysis (CRA) is a static-analysis method based on a combination of symbolic analysis and abstract interpretation. This paper addresses the problem of creating a context-sensitive interprocedural version of CRA that handles recursive procedures. The problem is non-trivial because there is an "impedance mismatch" between CRA, which relies on analysis techniques based on regular languages (i.e., Tarjan's path-expression method), and the context-free-language underpinnings of context-sensitive analysis.

We show how to address this impedance mismatch by augmenting the CRA abstract domain with additional operations. We call the resulting algorithm Interprocedural CRA (ICRA). Our experiments with ICRA show that it has broad overall strength compared with several state-of-the-art software model checkers.

Supplementary Material

Auxiliary Archive (pldi17-main225-s.zip)

This ZIP archive contains a virtual machine in OVA (Open Virtualization Archive) format. The virtual machine contains an installation of ICRA, which is the program analysis tool that implements the ideas described in the associate publication, "Compositional Recurrence Analysis Revisited." For more information about the virtual machine, see the README.txt file inside the ZIP archive. For detailed information about how to use the virtual machine to run ICRA, see the README.txt file inside the virtual machine at the path "~/Newton/README.txt".

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Cited By

Chernenko IAnureev I(2024)Requirement-Dependent Extra Invariant Patterns in Deductive Verification of PoST Programs2024 IEEE 25th International Conference of Young Professionals in Electron Devices and Materials (EDM)10.1109/EDM61683.2024.10615007(1900-1905)Online publication date: 28-Jun-2024
https://doi.org/10.1109/EDM61683.2024.10615007
Wang CLin F(2024)On Polynomial Expressions with C-Finite Recurrences in Loops with Nested Nondeterministic BranchesComputer Aided Verification10.1007/978-3-031-65627-9_20(409-430)Online publication date: 26-Jul-2024
https://doi.org/10.1007/978-3-031-65627-9_20
Grosen JKahn DHoffmann J(2023)Automatic Amortized Resource Analysis with Regular Recursive Types2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)10.1109/LICS56636.2023.10175720(1-14)Online publication date: 26-Jun-2023
https://doi.org/10.1109/LICS56636.2023.10175720
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Index Terms

Compositional recurrence analysis revisited
1. Software and its engineering
  1. Software organization and properties
    1. Software functional properties
      1. Formal methods
        Automated static analysis
2. Theory of computation
  1. Semantics and reasoning
    1. Program reasoning
      1. Program analysis

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Information

Published In

cover image ACM SIGPLAN Notices

ACM SIGPLAN Notices Volume 52, Issue 6

PLDI '17

June 2017

708 pages

ISSN:0362-1340

EISSN:1558-1160

DOI:10.1145/3140587

Editor:
Matthew Fluet

Issue’s Table of Contents

PLDI 2017: Proceedings of the 38th ACM SIGPLAN Conference on Programming Language Design and Implementation
June 2017
708 pages
ISBN:9781450349888
DOI:10.1145/3062341
General Chair:
Albert Cohen
Inria, France
,
Program Chair:
Martin Vechev
DeepCode, Switzerland / ETH Zurich, Switzerland

Copyright © 2017 ACM.

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Association for Computing Machinery

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Publication History

Published: 14 June 2017

Published in SIGPLAN Volume 52, Issue 6

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Cited By

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https://doi.org/10.1109/EDM61683.2024.10615007
Wang CLin F(2024)On Polynomial Expressions with C-Finite Recurrences in Loops with Nested Nondeterministic BranchesComputer Aided Verification10.1007/978-3-031-65627-9_20(409-430)Online publication date: 26-Jul-2024
https://doi.org/10.1007/978-3-031-65627-9_20
Grosen JKahn DHoffmann J(2023)Automatic Amortized Resource Analysis with Regular Recursive Types2023 38th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)10.1109/LICS56636.2023.10175720(1-14)Online publication date: 26-Jun-2023
https://doi.org/10.1109/LICS56636.2023.10175720
Wang JWang C(2022)Learning to Synthesize Relational InvariantsProceedings of the 37th IEEE/ACM International Conference on Automated Software Engineering10.1145/3551349.3556942(1-12)Online publication date: 10-Oct-2022
https://dl.acm.org/doi/10.1145/3551349.3556942
Ishimwe DNguyen TNguyen KDwyer M(2022)DynaplexProceedings of the ACM/IEEE 44th International Conference on Software Engineering: Companion Proceedings10.1145/3510454.3516853(61-64)Online publication date: 21-May-2022
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Ishimwe DNguyen TNguyen K(2022)Dynaplex: Inferring Asymptotic Runtime Complexity of Recursive Programs2022 IEEE/ACM 44th International Conference on Software Engineering: Companion Proceedings (ICSE-Companion)10.1109/ICSE-Companion55297.2022.9793811(61-64)Online publication date: May-2022
https://doi.org/10.1109/ICSE-Companion55297.2022.9793811
Jensen PSchmid SSchou MSrba J(2022)PDAAAL: A Library for Reachability Analysis of Weighted Pushdown SystemsAutomated Technology for Verification and Analysis10.1007/978-3-031-19992-9_14(225-230)Online publication date: 21-Oct-2022
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Ji YFu HFang BChen H(2022)Affine Loop Invariant Generation via Matrix AlgebraComputer Aided Verification10.1007/978-3-031-13185-1_13(257-281)Online publication date: 7-Aug-2022
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Ishimwe DNguyen KNguyen T(2021)Dynaplex: analyzing program complexity using dynamically inferred recurrence relationsProceedings of the ACM on Programming Languages10.1145/34855155:OOPSLA(1-23)Online publication date: 15-Oct-2021
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Kahn DHoffmann J(2021)Automatic amortized resource analysis with the Quantum physicist’s methodProceedings of the ACM on Programming Languages10.1145/34735815:ICFP(1-29)Online publication date: 19-Aug-2021
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