Semantics of separation-logic typing and higher-order frame rules for algol-like languages

Logical Methods in Computer Science

Volumn 2, Issue 5, 2006, Pages

  Birkedal, Lars ^a   Torp Smith, Noah ^a   Yang, Hongseok ^b  

^a IT UNIVERSITY OF COPENHAGEN   (Denmark)

^b Seoul National University   (South Korea)

Author keywords

Program verification; Separation logic

Indexed keywords

ALGOL (PROGRAMMING LANGUAGE); COMPUTER CIRCUITS; SEMANTICS; SEPARATION;

COHERENT SEMANTICS; HIGHER-ORDER FRAME RULES; LOCAL REASONING; PROGRAM VERIFICATION; SEMANTICS OF SEPARATION; SEPARATION LOGIC;

FORMAL LOGIC;

EID: 84990981128     PISSN: None     EISSN: 18605974     Source Type: Journal    
DOI: 10.2168/LMCS-2(5:1)2006     Document Type: Article

References (24)

1. M. Abadi, L. Cardelli, and P.-L. Curien. Formal parametric polymorphism. Theoretical Comput. Sci., 121(1-2):9-58, December 1993.
2. A. Ahmed, L. Jia, and D. Walker. Reasoning about hierarchical storage. In Proc. of LICS’03, 2003.
3. B. Biering, L. Birkedal, and N. Torp-Smith. BI-hyperdoctrines and higher order separation logic. In Proc. of ESOP’05, Edinburgh, Scotland, April 2005.
4. L. Birkedal, N. Torp-Smith, and J. C. Reynolds. Local reasoning about a copying garbage collector. In Proc. of POPL’04, pages 220-231, Venice, Italy, 2004.
5. S. Ishtiaq and P. W. O’Hearn. BI as an assertion language for mutable data structures. In Proc. of POPL’01, 2001.
6. J. C. Mitchell and E. Moggi. Kripke-style models for typed lambda calculus. Annals of Pure and Appl. Logic, 51:99-124, 1991.
7. G. Morrisett, D. Walker, K. Crary, and N. Glew. From system F to typed assembly language. ACM Trans. Program. Lang. and Syst., 21(3):527-568, 1999.
8. P.W. O’Hearn, H. Yang, and J. C. Reynolds. Local reasoning about programs that alter data structures. In Proc. of CSL’01, pages 1-19, Paris, France, September 2001.
9. P. W. O’Hearn, H. Yang, and J. C. Reynolds. Separation and information hiding. In Proc. of POPL’04, pages 268-280, Venice, Italy, 2004.
10. Peter W. O’Hearn and Robert D. Tennent. Parametricity and local variables. J. ACM, 42(3):658-709, 1995.
11. F. J. Oles. A Category-Theoretic Approach to the Semantics of Programming Languages. PhD thesis, Syracuse University, 1982.
12. M. Parkinson and G. Bierman. Separation logic and abstraction. In Proc. of POPL’05, Long Beach, CA, USA, January 2005.
13. B. Pierce. Types and Programming Languages. MIT Press, 2002.
14. U. Reddy and H. Yang. Correctness of data representations involving heap data structures. Science of Computer Programming, 50(1):129-160, March 2004.
15. J. C. Reynolds. Idealized Algol and its specification logic. In D. Neel, editor, Tools and Notions for Program Construction, pages 121-161. Cambridge University Press, 1982.
16. J. C. Reynolds. Intuitionistic reasoning about shared mutable data structure. In J. Davies, B. Roscoe, and J. Woodcock, editors, Millennial Perspectives in Computer Science, pages 303-321. Palgrave, Houndsmill, Hampshire, 2000.
17. J. C. Reynolds. Separation logic: A logic for shared mutable data structures. In Proc. of LICS’02, pages 55-74, Copenhagen, Denmark, 2002.
18. John C. Reynolds. The essence of Algol. In J. W. de Bakker and J. C. van Vliet, editors, Algorithmic Languages, pages 345-372. North-Holland, 1981.
19. John C. Reynolds. The meaning of types — from intrinsic to extrinsic semantics. Research Series RS-00-32, BRICS, DAIMI, Department of Computer Science, University of Aarhus, December 2000. http://www.brics.dk/RS/00/32/.
20. G. Tan, A. W. Appel, K. N. Swadi, and D. Wu. Construction of a semantic model for a typed assembly language. In Proc. of VMCAI ’04, January 2004.
21. H. Yang. Local Reasoning for Stateful Programs. PhD thesis, University of Illinois, Urbana-Champaign, 2001.
22. H Yang. Relational separation logic. Submitted to Theoretical Comput. Sci., October 2004.
23. Hongseok Yang. Local Reasoning for Stateful Programs. PhD thesis, University of Illinois at Urbana-Champaign, 2001. (Technical Report UIUCDCS-R-2001-2227).
24. Hongseok Yang and Peter W. O’Hearn. A semantic basis for local reasoning. In Proceedings of the 5th Conference on Foundations of Software Science and Computation Structures, volume 2303 of Lecture Notes in Computer Science, pages 402-416. Springer-Verlag, April 2002.