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» Separation Logic: A Logic for Shared Mutable Data Structures
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POPL
2007
ACM
14 years 9 months ago
Context logic as modal logic: completeness and parametric inexpressivity
Separation Logic, Ambient Logic and Context Logic are based on a similar style of reasoning about structured data. They each consist of a structural (separating) composition for r...
Cristiano Calcagno, Philippa Gardner, Uri Zarfaty
FOSSACS
2007
Springer
14 years 2 months ago
Logical Reasoning for Higher-Order Functions with Local State
Abstract. We introduce an extension of Hoare logic for call-by-value higherorder functions with ML-like local reference generation. Local references may be generated dynamically an...
Nobuko Yoshida, Kohei Honda, Martin Berger
ESOP
2007
Springer
14 years 2 months ago
On the Relationship Between Concurrent Separation Logic and Assume-Guarantee Reasoning
We study the relationship between Concurrent Separation Logic (CSL) and the assume-guarantee (A-G) method (a.k.a. rely-guarantee method). We show in three steps that CSL can be tre...
Xinyu Feng, Rodrigo Ferreira, Zhong Shao
ESOP
2008
Springer
13 years 10 months ago
A Realizability Model for Impredicative Hoare Type Theory
We present a denotational model of impredicative Hoare Type Theory, a very expressive dependent type theory in which one can and reason about mutable abstract data types. The model...
Rasmus Lerchedahl Petersen, Lars Birkedal, Aleksan...
ENTCS
2008
120views more  ENTCS 2008»
13 years 8 months ago
Reasoning about B+ Trees with Operational Semantics and Separation Logic
The B+ tree is an ordered tree structure with a fringe list. It is the most widely used data structure for data organisation and searching in database systems specifically, and, p...
Alan P. Sexton, Hayo Thielecke