# Packages matching: installed
# Name # Installed # Synopsis
base-bigarray base
base-num base Num library distributed with the OCaml compiler
base-ocamlbuild base OCamlbuild binary and libraries distributed with the OCaml compiler
base-threads base
base-unix base
camlp5 7.14 Preprocessor-pretty-printer of OCaml
conf-findutils 1 Virtual package relying on findutils
conf-perl 2 Virtual package relying on perl
coq 8.7.2 Formal proof management system
num 0 The Num library for arbitrary-precision integer and rational arithmetic
ocaml 4.02.3 The OCaml compiler (virtual package)
ocaml-base-compiler 4.02.3 Official 4.02.3 release
ocaml-config 1 OCaml Switch Configuration
ocamlfind 1.9.6 A library manager for OCaml
# opam file:
opam-version: "2.0"
maintainer: "Hugo.Herbelin@inria.fr"
homepage: "https://github.com/coq-contribs/random"
license: "LGPL 2.1"
build: [make "-j%{jobs}%"]
install: [make "install"]
remove: ["rm" "-R" "%{lib}%/coq/user-contrib/Random"]
depends: [
"ocaml"
"coq" {>= "8.7" & < "8.8~"}
]
tags: [ "keyword: randomized algorithms" "keyword: monads" "keyword: probability" "category: Computer Science/Decision Procedures and Certified Algorithms/Correctness proofs of algorithms" ]
authors: [ "Christine Paulin" ]
bug-reports: "https://github.com/coq-contribs/random/issues"
dev-repo: "git+https://github.com/coq-contribs/random.git"
synopsis: "Interpretation of random programs"
description: """
This contribution is a modelisation of random programs
as measures in Coq. It started in 2004 in the context
of the AVERROES project (http://www-verimag.imag.fr/AVERROES/).
It is based on comon work with Philippe Audebaud (ENS Lyon).
It was last updated in february 2007.
It contains the following elements
- an axiomatisation of the interval [0,1] and derived properties
(files Ubase.v and Uprop.v);
- a definition of measures on a type A as functions of type
(A->[0,1])->[0,1] enjoying special stability properties (files
Monads.v and Probas.v); proofs that these constructions have a
monadic structure;
- an interpretation of programs of type A as measures, in particular
a fixpoint construction; the definition of an axiomatic semantic for
deriving judgements such as ``the probability of an expression e to
evaluate to a result satisfying property q belongs to an interval [p,q]''
(file Prog.v);
- Proof of probabilistic termination of a linear random walk (file
Iterflip.v);
- Proof of a program implementing a bernoulli distribution
(Proba(bernouilli(p)=true)=p) using a coin flip and the derived binomial
law (Proba(binomial p n=k)=C(n,k)p^k(1-p)^{n-k}) (file Bernoulli.v);
- Proof of estimation of the combination of two random executions
(file Choice.v)
- Proof of partial termination of parameterized random walk (file Ycart.v)
- Definition of a measure on traces from a mesure on transitions
steps (file Nelist.v, Transitions.v)
The document random.pdf contains a short introduction to the library
associated to the Gallina source code of the library."""
flags: light-uninstall
url {
src: "https://github.com/coq-contribs/random/archive/v8.7.0.tar.gz"
checksum: "md5=d2b71ff2e8465dbb5413e75f1f71183b"
}
trueDry install with the current Coq version:
opam install -y --show-action coq-random.8.7.0 coq.8.7.2Dry install without Coq/switch base, to test if the problem was incompatibility with the current Coq/OCaml version:
trueopam list; echo; ulimit -Sv 4000000; timeout 4h opam install -y --deps-only coq-random.8.7.0 coq.8.7.2opam list; echo; ulimit -Sv 16000000; timeout 4h opam install -y -v coq-random.8.7.0 coq.8.7.2Total: 4 M
../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Uprop.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Uprop.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Bernoulli.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Carac.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Prog.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Ycart.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/IterFlip.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Transitions.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Choice.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Probas.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Prog.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Monads.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Sets.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Probas.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Bernoulli.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Uprop.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Carac.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Sets.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Choice.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Prog.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Ycart.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Monads.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Transitions.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/IterFlip.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Probas.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Carac.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Sets.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Ubase.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Bernoulli.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Prelude.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Ubase.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Prelude.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Nelist.vo../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Monads.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Ycart.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Nelist.glob../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Ubase.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Transitions.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Choice.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Prelude.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/IterFlip.v../ocaml-base-compiler.4.02.3/lib/coq/user-contrib/Random/Nelist.vopam remove -y coq-random.8.7.0