Tactics for Proving Separation Logic Assertion in Coq Proof Assistant
Article No.: 99, Pages 1 - 5
Abstract
The verification of the correctness of large programs, particularly operating systems is an unmanageable but important endeavor. we are interested in verifying C programs with formal methods, the logic is separation logic, a Hoare-style program logic. In this paper, we present a simple extension of the syntax of separation logic assertion on existing verification system in Coq proof assistant to make assertions more versatile and flexible to describe the state of programs. Moreover, we develop several tactics for proving some related assertions to reduce manual proof as much as possible and improve the efficiency of verification.
References
[1]
A. Chlipala (2013). The Bedrock structured programming system: combining generative metaprogramming and Hoare logic in an extensible program verifier. In ICFP, 391--402.
[2]
A. McCreigh (2009). Practical tactics for separation logic. In Proceedings of Theorem Proving in Higher Order Logics (TPHOLs'09), 343--358.
[3]
A. W. Appel (2011). Verismall: Verified Smallfoot Shape Analysis. In Proceedings of Int'l Conf. on Certified Programs and Proofs (CPP'11), 231--246.
[4]
A. W. Appel, R. Dockins, A. Hobor, L. Beringer, J. Dodds, G. Stewart, S. Blazy and X. Leroy. 2014. Program Logics for Certified Compilers. University of Cambridge Press, New York.
[5]
C. A. R. Hoare (1969). An Axiomatic Basis for Computer Programming. Communications of the ACM, 12(10),576--580.
[6]
D. Delahaye (2000). A tactic Language for the System Coq. In Proceeding softhe 7th International Conference on Logic for Programming and Automated Reasoning (LPAP'00), 85--95.
[7]
H. Tuch, G. Klein, and M. Norrish (2007). Types, butes, and separation logic. In POPL, 97--108.
[8]
I. Sergey, A. Nanevski, and A. Banerjee (2015). Mechanized verification of fine-grained concurrent programs. In PLDI, 77--87.
[9]
J. B. Jensen, N. Benton, and A. Kennedy (2013). High-level separation logic for low-level code. In POPL, 301--314.
[10]
J. Bengtson, J. B. Jensen, and L. Birkedal (2012). Charge-A Framework for Higher-order Separation Logic in Coq. In Proceedings of Interactive Theorem Proving (ITP'12), 315--331.
[11]
J. C. Reynolds (2002). Separation logic: A logic for shared mutable data structures. In Proceedings of the 17th Annual IEEE Symposium on Logic in Computer Science (LICS'02), 55--74.
[12]
J. Cao, M. Fu, and X. Feng (2015). Practical Tactics for Verifying C Programs in Coq. In: CPP, 97--108.
[13]
J. Hill, S. Tilley (2010). Creating Safety Requirement Traceability for Assuring and Recertifying Legacy Safety-Critical Systems[M] IEEE, 297--302.
[14]
P. W. O'Hearn, J. C. Reynolds, and H. Yang (2001). Local reasoning about programs that alter data structures. In CSL (LNCS), Vol. 2142. 1--18.
[15]
Q. Cao, L. Beringer, S. Gruetter, J. Dodds and A. W. Appel (2018). VST-Floyd: A Separation Logic Tool to Verify Correctness of C Programs. Journal of Automated Reasoning, 1--63
[16]
R. Krebbers (2015). The C Standard formalized in Coq. Ph. D. Dissertation. Radboud University.
[17]
The coq development team: The coq proof assistant. http://coq.inria.fr.
[18]
X. Leroy (2006). Formal certification of a complier back-end, or: programming a complier with a proof assistant. In Proceedings of the 33th ACM SIGPLAN-SIGACT symposium on Principles of programming languages, 42--54.
Index Terms
- Tactics for Proving Separation Logic Assertion in Coq Proof Assistant
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Published In
August 2019
584 pages
ISBN:9781450376259
DOI:10.1145/3387168
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Published: 25 May 2020
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ICVISP 2019
ICVISP 2019: 3rd International Conference on Vision, Image and Signal Processing
August 26 - 28, 2019
BC, Vancouver, Canada
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ICVISP 2019 Paper Acceptance Rate 126 of 277 submissions, 45%;
Overall Acceptance Rate 186 of 424 submissions, 44%
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