scholarly journals Connecting Higher-Order Separation Logic to a First-Order Outside World

2021 ◽  
Author(s):  
William Mansky
Keyword(s):  
Higher Order ◽  
Separation Logic ◽  
First Order ◽  
Order Separation

scholarly journals Connecting Higher-Order Separation Logic to a First-Order Outside World

2020 ◽  
pp. 428-455 ◽  
Author(s):  
William Mansky ◽  
Wolf Honoré ◽  
Andrew W. Appel
Keyword(s):  
Program Verification ◽  
Higher Order ◽  
Separation Logic ◽  
C Programs ◽  
First Order ◽  
System Calls ◽  
Correctness Of Programs ◽  
Verified Software ◽  
Order State ◽  
Order Separation

AbstractSeparation logic is a useful tool for proving the correctness of programs that manipulate memory, especially when the model of memory includes higher-order state: Step-indexing, predicates in the heap, and higher-order ghost state have been used to reason about function pointers, data structure invariants, and complex concurrency patterns. On the other hand, the behavior of system features (e.g., operating systems) and the external world (e.g., communication between components) is usually specified using first-order formalisms. In principle, the soundness theorem of a separation logic is its interface with first-order theorems, but the soundness theorem may implicitly make assumptions about how other components are specified, limiting its use. In this paper, we show how to extend the higher-order separation logic of the Verified Software Toolchain to interface with a first-order verified operating system, in this case CertiKOS, that mediates its interaction with the outside world. The resulting system allows us to prove the correctness of C programs in separation logic based on the semantics of system calls implemented in CertiKOS. It also demonstrates that the combination of interaction trees + CompCert memories serves well as a lingua franca to interface and compose two quite different styles of program verification.

scholarly journals On Models of Higher-Order Separation Logic

2018 ◽  
Vol 336 ◽  
pp. 57-78 ◽  
Author(s):  
Aleš Bizjak ◽  
Lars Birkedal
Keyword(s):  
Higher Order ◽  
Separation Logic ◽  
Order Separation

scholarly journals Higher-Order Separation Logic in Isabelle/HOLCF

2008 ◽  
Vol 218 ◽  
pp. 371-389 ◽  
Author(s):  
Carsten Varming ◽  
Lars Birkedal
Keyword(s):  
Higher Order ◽  
Separation Logic ◽  
Order Separation

Higher order separation logic

2014 ◽  
pp. 75-75
Author(s):  
Andrew W. Appel ◽  
Robert Dockins ◽  
Aquinas Hobor ◽  
Lennart Beringer ◽  
Josiah Dodds ◽  
...  
Keyword(s):  
Higher Order ◽  
Separation Logic ◽  
Order Separation

scholarly journals Verifying Custom Synchronization Constructs Using Higher-Order Separation Logic

2016 ◽  
Vol 38 (2) ◽  
pp. 1-72 ◽  
Author(s):  
Mike Dodds ◽  
Suresh Jagannathan ◽  
Matthew J. Parkinson ◽  
Kasper Svendsen ◽  
Lars Birkedal
Keyword(s):  
Higher Order ◽  
Separation Logic ◽  
Order Separation

Applying higher-order separation logic

2014 ◽  
pp. 130-133
Author(s):  
Andrew W. Appel ◽  
Robert Dockins ◽  
Aquinas Hobor ◽  
Lennart Beringer ◽  
Josiah Dodds ◽  
...  
Keyword(s):  
Higher Order ◽  
Separation Logic ◽  
Order Separation

scholarly journals The Effects of Adding Reachability Predicates in Quantifier-Free Separation Logic

2021 ◽  
Vol 22 (2) ◽  
pp. 1-56
Author(s):  
Stéphane Demri ◽  
Etienne Lozes ◽  
Alessio Mansutti
Keyword(s):  
Natural Extension ◽  
Point Of View ◽  
Separation Logic ◽  
Polynomial Space ◽  
Full Extension ◽  
Computational Point ◽  
First Order ◽  
Verification Tools ◽  
Memory States ◽  
Order Separation

The list segment predicate ls used in separation logic for verifying programs with pointers is well suited to express properties on singly-linked lists. We study the effects of adding ls to the full quantifier-free separation logic with the separating conjunction and implication, which is motivated by the recent design of new fragments in which all these ingredients are used indifferently and verification tools start to handle the magic wand connective. This is a very natural extension that has not been studied so far. We show that the restriction without the separating implication can be solved in polynomial space by using an appropriate abstraction for memory states, whereas the full extension is shown undecidable by reduction from first-order separation logic. Many variants of the logic and fragments are also investigated from the computational point of view when ls is added, providing numerous results about adding reachability predicates to quantifier-free separation logic.

Verifying Object-Oriented Programs with Higher-Order Separation Logic in Coq

2011 ◽  
pp. 22-38 ◽  
Author(s):  
Jesper Bengtson ◽  
Jonas Braband Jensen ◽  
Filip Sieczkowski ◽  
Lars Birkedal
Keyword(s):  
Object Oriented ◽  
Higher Order ◽  
Separation Logic ◽  
Order Separation
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