Schwinghammer, Jan and Birkedal, Lars and Reus, Bernhard and Yang, Hongseok - Nested Hoare Triples and Frame Rules for Higher-order Store

lmcs:996 - Logical Methods in Computer Science, September 28, 2011, Volume 7, Issue 3
Nested Hoare Triples and Frame Rules for Higher-order Store

Authors: Schwinghammer, Jan and Birkedal, Lars and Reus, Bernhard and Yang, Hongseok

Separation logic is a Hoare-style logic for reasoning about programs with heap-allocated mutable data structures. As a step toward extending separation logic to high-level languages with ML-style general (higher-order) storage, we investigate the compatibility of nested Hoare triples with several variations of higher-order frame rules. The interaction of nested triples and frame rules can be subtle, and the inclusion of certain frame rules is in fact unsound. A particular combination of rules can be shown consistent by means of a Kripke model where worlds live in a recursively defined ultrametric space. The resulting logic allows us to elegantly prove programs involving stored code. In particular, using recursively defined assertions, it leads to natural specifications and proofs of invariants required for dealing with recursion through the store.


Source : oai:arXiv.org:1109.3031
DOI : 10.2168/LMCS-7(3:21)2011
Volume: Volume 7, Issue 3
Published on: September 28, 2011
Submitted on: March 8, 2011
Keywords: Computer Science - Logic in Computer Science,F.3.1, F.3.2


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