Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Trustful Monad for Axiomatic Reasoning with Probability and
  Nondeterminism   The algebraic properties of the combination of probabilistic choice and
nondeterministic choice have long been a research topic in program semantics.
This paper explains a formalization in the Coq proof assistant of a monad
equipped with both choices: the geometrically convex monad. This formalization
has an immediate application: it provides a model for a monad that implements a
non-trivial interface which allows for proofs by equational reasoning using
probabilistic and nondeterministic effects. We explain the technical choices we
made to go from the literature to a complete Coq formalization, from which we
identify reusable theories about mathematical structures such as convex spaces
and concrete categories, and that we integrate in a framework for monadic
equational reasoning.

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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an