Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Verified Compiler for Probability Density Functions   Bhat et al. developed an inductive compiler that computes density functions
for probability spaces described by programs in a simple probabilistic
functional language. In this work, we implement such a compiler for a modified
version of this language within the theorem prover Isabelle and give a formal
proof of its soundness w.r.t. the semantics of the source and target language.
Together with Isabelle's code generation for inductive predicates, this yields
a fully verified, executable density compiler. The proof is done in two steps,
using a standard refinement approach: first, an abstract compiler working with
abstract functions modelled directly in the theorem prover's logic is defined
and proven sound. Then, this compiler is refined to a concrete version that
returns a target-language expression.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg