Resources cited in this volume
An extended related work section on the history of Separation Logic
may be found in the paper
[Charguéraud 2020], available from:
http://www.chargueraud.org/research/2020/seq_seplogic/seq_seplogic.pdf
The references most relevant to the contents of the course appear below.
[Birkedal, Torp-Smith and Yang 2006]
Lars Birkedal, Noah Torp-smith, and Hongseok Yang.
Semantics of separation-logic typing and higher-order frame rules
for algol-like languages.
In Logical Methods in Computer Science.
[Burstall 1972]
R. M. Burstall.
Some Techniques for Proving Correctness of Programs which Alter Data
Structures.
In Machine Intelligence 7, Edinburgh University Press.
[Charguéraud 2010]
Arthur Charguéraud.
Characteristic Formulae for Mechanized Program Verification.
PhD thesis, Université Paris Diderot, December 2010.
[Charguéraud 2011]
Arthur Charguéraud.
Characteristic Formulae for the Verification of Imperative Programs.
In International Conference on Functional Programming (ICFP).
https://doi.org/10.1145/2034773.2034828
[Charguéraud 2020]
Arthur Charguéraud.
Separation Logic for Sequential Programs.
In Internation Conference on Function Programming (ICFP).
https://dl.acm.org/doi/abs/10.1145/3408998
[Charguéraud et al 2022]
Arthur Charguéraud, Adam Chlipala, Andres Erbsen, and Samuel Gruetter.
Omnisemantics: Smoother Handling of Nondeterminism (Draft).
http://www.chargueraud.org/research/2022/omnisemantics/omnisemantics.pdf.
[Chlipala et al 2009]
Adam Chlipala, Gregory Malecha, Greg Morrisett, Avraham Shinnar,
and Ryan Wisnesky.
Effective Interactive Proofs for Higher-Order Imperative Programs.
In International Conference on Functional Programming (ICFP).
https://doi.org/10.1145/1596550.
See also the other papers:
https://ynot.cs.harvard.edu/
[Guéneau, Jourdan, Charguéraud, and Pottier 2019]
Armaël Guéneau, Jacques-Henri Jourdan, Arthur Charguéraud,
and François Pottier.
Formal Proof and Analysis of an Incremental Cycle Detection Algorithm.
In Interactive Theorem Proving (ITP).
https://doi.org/10.4230/LIPIcs.ITP.2019.18
[Guéneau, Myreen, Kumar and Norrish 2017]
Armaël Guéneau, Magnus O. Myreen, Ramana Kumar, and Michael Norrish.
Verified Characteristic Formulae for CakeML.
In European Symposium on Programming (ESOP).
https://doi.org/10.1007/978-3-662-54434-1_22
[Dijstra 1975]
Edsger W. Dijkstra.
Guarded commands, nondeterminacy and formal derivation of programs.
Communications of the ACM.
https://doi.org/10.1145/360933.360975
[Gordon 1989]
Michael J. C. Gordon.
Mechanizing Programming Logics in Higher Order Logic.
Springer-Verlag, Berlin, Heidelberg,
https://doi.org/10.1007/978-1-4612-3658-0_10
[Krishnaswami, Birkedal, and Aldrich 2010]
Neel R. Krishnaswami, Lars Birkedal, and Jonathan Aldrich.
Verifying Event-Driven Programs Using Ramified Frame Properties.
In Workshop on Types in Language Design and Implementation (TLDI).
https://doi.org/10.1145/1708016.1708025
[Hennessy and Milner 1985]
Matthew Hennessy and Robin Milner.
Algebraic laws for nondeterminism and concurrency.
Journal of the ACM, 32.
https://dl.acm.org/doi/10.1145/2455.2460
[Honda, Berger, and Yoshida 2006]
Kohei Honda, Martin Berger, and Nobuko Yoshida.
Descriptive and relative completeness of logics for higher-order functions.
International Colloquium on Automata, Languages and Programming (ICALP).
https://doi.org/10.1007/11787006_31
[Hobor and Villard 2013]
Aquinas Hobor and Jules Villard.
The Ramifications of Sharing in Data Structures.
In Symposium on Principles of Programming Languages (POPL).
https://doi.org/10.1145/2429069.2429131
[Ishtiaq and O'Hearn 2001]
Samin S. Ishtiaq and Peter W. O’Hearn.
BI as an Assertion Language for Mutable Data Structures.
SIGPLAN Notice 36.
https://doi.org/10.1145/373243.375719
[Jung et al 2018]
Ralf Jung, Robbert Krebbers, Jacques-Henri Jourdan, Ale{\v{s
}} Bizjak,
Lars Birkedal, Derek Dreyer.
Iris from the ground up: A modular foundation for higher-order concurrent
separation logic.
Journal of Functional Programming.
https://doi.org/10.1017/S0956796818000151
[O'Hearn and Pym 1999]
Peter W. O’Hearn and David J. Pym.
The Logic of Bunched Implications.
The Bulletin of Symbolic Logic 5.
https://doi.org/10.2307/421090
[O'Hearn, Reynolds, and Yang 2001]
Peter W. O’Hearn, John C. Reynolds, and Hongseok Yang.
Local Reasoning about Programs that Alter Data Structures.
Workshop on Computer Science Logic (CSL).
https://doi.org/10.1007/3-540-44802-0_1
[Reynolds 2002]
John C. Reynolds.
Separation Logic: A Logic for Shared Mutable Data Structures.
Annual IEEE Symposium on Logic in Computer Science (LICS).
10.1109/LICS.2002.1029817
[Reynolds 2000]
John C. Reynolds.
Intuitionistic Reasoning about Shared Mutable Data Structure
http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.11.5999&rep=rep1&type=pdf
[Schäfer et al 2016]
Steven Schäfer, Sigurd Schneider, Gert Smolka.
Axiomatic Semantics for Compiler Verification.
In Conference on Certified Programs and Proofs (CPP).
https://dl.acm.org/doi/10.1145/2854065.2854083
[Tuerk 2010]
Thomas Tuerk.
Local Reasoning about While-Loops.
In International Conference on Verified Software: Theories, Tools and
Experiments (VSTTE).
[Weber 2004]
Tjark Weber.
Towards Mechanized Program Verification with Separation Logic.
In Computer Science Logic (CSL)
https://doi.org/10.1007/978-3-540-30124-0_21
[Yu, Hamid, and Shao 2003]
Dachuan Yu, Nadeem A. Hamid, and Zhong Shao.
Building Certified Libraries for PCC: Dynamic Storage Allocation.
European Symposium on Programming (ESOP).
https://doi.org/10.1007/3-540-36575-3_25