Forked from Iris / Iris

5734 commits behind the upstream repository.

Merge branch 'jh/fractional' into 'master'

Ralf Jung authored 8 years ago

Fractional typeclass.

A typeclass for fractional assertions, that is assertions that depend on a fraction and that can be split.

This is used to derive generically a few other instances for framing , destructing, combining and spliting assertions of sums of fractions. I found it usefull when doing fraction-heavy proofs in LambdaRust.

The Right Way To Do It would be to use a typeclass over the *predicate* itself. Unfortunately, the unification algorithm of typeclasses is not powerful enough to do the right beta-expansion that would expose the predicate applied to some fraction. Instead, the `Fractional` type class has as parameters both the predicate and the applied form that can be directly unified with the fractured assertion. Not very pretty.

I wonder whether I should split this into two type classes: the first one would depend only on the predicate and would actually state the fractionality of it, and the second would do the beta-expansion job. What do you think?

See merge request !23

608e347c

History

608e347c 8 years ago

History

Name	Last commit	Last update
algebra
base_logic
benchmark
docs
heap_lang
prelude
program_logic
proofmode
tests
.gitignore
.gitlab-ci.yml
CHANGELOG.md
LICENSE
LICENSE-CODE
LICENSE-DOCS
Makefile
ProofMode.md
README.md
_CoqProject
naming.txt

README.md

IRIS COQ DEVELOPMENT

This is the Coq development of the Iris Project.

Prerequisites

This version is known to compile with:

Coq 8.5pl2
Ssreflect 1.6

For development, better make sure you have a version of Ssreflect that includes commit be724937 (no such version has been released so far, you will have to fetch the development branch yourself). Iris compiles fine even without this patch, but proof bullets will only be in 'strict' (enforcing) mode with the fixed version of Ssreflect.

Building Instructions

Run the following command to build the full development:

make

The development can then be installed as the Coq user contribution iris by running:

make install

Structure

The folder prelude contains an extended "Standard Library" by Robbert Krebbers.
The folder algebra contains the COFE and CMRA constructions as well as the solver for recursive domain equations.
The folder base_logic defines the Iris base logic and the primitive connectives. It also contains derived constructions that are entirely independent of the choice of resources.
- The subfolder lib contains some generally useful derived constructions. Most importantly, it defines composeable dynamic resources and ownership of them; the other constructions depend on this setup.
The folder program_logic specializes the base logic to build Iris, the program logic. This includes weakest preconditions that are defined for any language satisfying some generic axioms, and some derived constructions that work for any such language.
The folder proofmode contains the Iris proof mode, which extends Coq with contexts for persistent and spatial Iris assertions. It also contains tactics for interactive proofs in Iris. Documentation can be found in ProofMode.md.
The folder heap_lang defines the ML-like concurrent heap language
- The subfolder lib contains a few derived constructions within this language, e.g., parallel composition. Most notable here is lib/barrier, the implementation and proof of a barrier as described in http://doi.acm.org/10.1145/2818638.
The folder tests contains modules we use to test our infrastructure. Users of the Iris Coq library should not depend on these modules; they may change or disappear without any notice.

Documentation

A LaTeX version of the core logic definitions and some derived forms is available in docs/iris.tex. A compiled PDF version of this document is available online.