[Paper Artifact] Application of s-finite kernels to program semantics #912
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- binomial - uniform - generalize measure_and - change the order of binop & add pow - fix for mR - rewrite casino0 to casino1 Co-authored-by: Reynald Affeldt <[email protected]>
- also fix casino1
Co-authored-by: Reynald Affeldt <[email protected]>
- 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 - beta_nat_norm_sym - generic change variables - beta_nat_normE - cleaning
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This PR is an application of s-finite kernels to probabilistic programs.
(NB: an early version of this PR appeared as PR #749 which is scheduled for closing)
It provides a semantics, an intrinsically-typed syntax, and examples of verified programs.
The semantics and several examples are documented in https://dl.acm.org/doi/10.1145/3732291
[R. Affeldt, C. Cohen, A. Saito, Semantics of Probabilistic Programs Using s-Finite Kernels in Dependent Type Theory, ACM Trans. Probab. Mach. Learn, 2025] (which is a revised and extended version of a conference paper that was presented at CPP 2023 https://dl.acm.org/doi/10.1145/3573105.3575691).
Note that the hierarchy of kernels has been merged into master (see PR #896 and PR #1444)
The intrinsically-typed syntax and more examples are explained in [A. Saito, R. Affeldt, Experimenting with an Intrinsically-Typed Probabilistic Programming Language in Coq, APLAS 2023].
@CohenCyril @AyumuSaito