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https://github.com/logsem/clutch
A probabilistic relational separation logic with support for asynchronous couplings.
https://github.com/logsem/clutch
asynchronous coq couplings higher-order iris logic probabilistic relational separation-logic
Last synced: about 1 month ago
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A probabilistic relational separation logic with support for asynchronous couplings.
- Host: GitHub
- URL: https://github.com/logsem/clutch
- Owner: logsem
- License: mit
- Created: 2022-09-06T08:26:31.000Z (almost 2 years ago)
- Default Branch: main
- Last Pushed: 2024-04-22T13:44:32.000Z (3 months ago)
- Last Synced: 2024-04-22T13:59:22.507Z (3 months ago)
- Topics: asynchronous, coq, couplings, higher-order, iris, logic, probabilistic, relational, separation-logic
- Language: Coq
- Homepage:
- Size: 2.99 MB
- Stars: 12
- Watchers: 7
- Forks: 3
- Open Issues: 1
-
Metadata Files:
- Readme: README.html
- License: LICENSE
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README
README
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Clutch
A higher-order probabilistic relational separation logic with support
for asynchronous probabilistic couplings. The logic is built using the
Iris program logic framework and
mechanized in the Coq proof
assistant.
Preprint
A preprint describing this work is available on arXiv.
Gregersen, S.O., Aguirre, A., Haselwarter, P. G., Tassarotti, J. and
Birkedal, L., 2023. Asynchronous Probabilistic Couplings in Higher-Order
Separation Logic. arXiv
preprint arXiv:2301.10061.
This table maps definitions, concepts,
and results found in the paper to the Coq formalization.
Building the development
The project is known to compile with
-
Coq 8.16.1 -
std++ 1.8.0 -
Coquelicot
3.3.1 -
Iris 4.0.0 -
Autosubst
1.8 -
Mathcomp-solvable
1.17.0
The recommended way to install the dependencies is through opam.
- Install opam
if not already installed (a version greater than 2.0 is required). - Install a new switch and link it to the project.
opam switch create clutch 4.14.1
opam switch link clutch .- Add the Coq and Iris
opamrepositories.
opam repo add coq-released https://coq.inria.fr/opam/released
opam repo add iris-dev https://gitlab.mpi-sws.org/iris/opam.git
opam update- Install the right version of the dependencies as specified in the
clutch.opamfile.
opam install . --deps-onlyYou should now be able to build the development by using
make -j N where N is the number of cores
available on your machine.
Axioms
The development relies on axioms for classical reasoning and an
axiomatization of the reals numbers, both found in Coq’s standard
library. The following list is produced when executing the command
Print Assumptions eager_lazy_equiv. in theories/examples/lazy_eager_coin.v:
ClassicalDedekindReals.sig_not_dec : ∀ P : Prop, {¬ ¬ P} + {¬ P}
ClassicalDedekindReals.sig_forall_dec : ∀ P : nat → Prop, (∀ n : nat, {P n} + {¬ P n}) → {n : nat | ¬ P n} + {∀ n : nat, P n}
functional_extensionality_dep : ∀ (A : Type) (B : A → Type) (f g : ∀ x : A, B x), (∀ x : A, f x = g x) → f = g
constructive_indefinite_description : ∀ (A : Type) (P : A → Prop), (∃ x : A, P x) → {x : A | P x}
classic : ∀ P : Prop, P ∨ ¬ P