Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A meta-probabilistic-programming language for bisimulation of
  probabilistic and non-well-founded type systems   We introduce a formal meta-language for probabilistic programming, capable of
expressing both programs and the type systems in which they are embedded. We
are motivated here by the desire to allow an AGI to learn not only relevant
knowledge (programs/proofs), but also appropriate ways of reasoning
(logics/type systems). We draw on the frameworks of cubical type theory and
dependent typed metagraphs to formalize our approach. In doing so, we show that
specific constructions within the meta-language can be related via bisimulation
(implying path equivalence) to the type systems they correspond. This allows
our approach to provide a convenient means of deriving synthetic denotational
semantics for various type systems. Particularly, we derive bisimulations for
pure type systems (PTS), and probabilistic dependent type systems (PDTS). We
discuss further the relationship of PTS to non-well-founded set theory, and
demonstrate the feasibility of our approach with an implementation of a
bisimulation proof for a small-scale type system in Guarded Cubical Agda.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph