Application of s-finite kernels to program semantics #912
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Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
- binomial - uniform - generalize measure_and - change the order of binop & add pow - fix for mR - rewrite casino0 to casino1 Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
- also fix casino1
Co-authored-by: Reynald Affeldt <reynald.affeldt@aist.go.jp>
- define beta_probability - proof beta_ge0
- add exp_beta
- rewrite casino01 - proved casino34' - casino34 (remain admit) - casino45 - add Normalize
- use change of variables from charge.v to prove lemma integral_beta_nat (wip) - beta_nat_bern_bern
- new version of Bernoulli - cleaning
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Motivation for this change
This draft PR is an application of s-finite kernels to probabilistic programs.
It provides a semantics, an intrinsically-typed syntax, and a denotational semantics,
The semantics is explained in the second part of the following paper https://dl.acm.org/doi/10.1145/3573105.3575691 .
It is based on a hierarchy of kernels and its theory introduced by PR #896 (merged).
(This hierarchy is explained in the first part of the above paper.)
(NB: Originally, both the hierarchy of kernels and its application to program semantics
appeared as PR #749 (scheduled for closing) that we have split for convenience.)
The syntax is explained in this paper https://link.springer.com/chapter/10.1007/978-981-99-8311-7_9
@CohenCyril @AyumuSaito
Things done/to do
CHANGELOG_UNRELEASED.mdCompatibility with MathComp 2.0
TODO: HB portto make sure someone ports this PR tothe
hierarchy-builderbranch or I already opened an issue or PR (please cross reference).Automatic note to reviewers
Read this Checklist and put a milestone if possible.