History

Gerwin Klein be04eb0b50 isabelle2021-1: SepDSpec Signed-off-by: Gerwin Klein <gerwin.klein@proofcraft.systems>		2022-03-29 08:38:25 +11:00
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AbstractSeparationHelpers_SD.thy	licenses: convert license tags to SPDX	2020-03-13 14:38:24 +08:00
AbstractSeparation_SD.thy	licenses: convert license tags to SPDX	2020-03-13 14:38:24 +08:00
Frame_SD.thy	Cleanup some FIXMEs in AInvs and related sessions	2021-07-16 14:13:07 +10:00
Helpers_SD.thy	isabelle2021-1: SepDSpec	2022-03-29 08:38:25 +11:00
Lookups_D.thy	licenses: convert license tags to SPDX	2020-03-13 14:38:24 +08:00
README.md	READMEs: fix publication links	2021-08-25 11:22:05 +10:00
Sep_Tactic_Helper.thy	licenses: convert license tags to SPDX	2020-03-13 14:38:24 +08:00
Separation_SD.thy	isabelle2021-1: SepDSpec	2022-03-29 08:38:25 +11:00
Types_SD.thy	licenses: convert license tags to SPDX	2020-03-13 14:38:24 +08:00

README.md

CapDL Separation Logic Proof

This proof defines a separation logic for the capDL kernel specification. It builds on a generic separation algebra, described in the ITP 2012 paper.

The separation logic is defined on a lifted heap where we lift the object heap and IRQ table into an object-component heap and an IRQ table heap. This gives us a separation algebra with a capability-level of granularity.

This separation logic is used by the CapDL API Proofs and the system initialiser specification.

This separation logic is described in the ICFEM '13 paper and Andrew Boyton's PhD thesis.

Building

To build from the l4v/ directory, run:

    ./isabelle/bin/isabelle build -d . -v -b SepDSpec

Important Theories

The definitions of heap disjunction, heap addition and showing that they produce a separation algebra is found in AbstractSeparation_SD.
The "arrows" are defined in Separation_SD.
The "frame rule" for specific leaf functions is defined in Frame_SD. This "frame rule" is different from the traditional frame rule as we use a shallow embedding.