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\begin{document}

\title{S-Finite Measure Monad on Quasi-Borel Spaces}
\author{Michikazu Hirata, Yasuhiko Minamide}
\maketitle
\begin{abstract}
  The s-finite measure monad on quasi-Borel spaces provides
  a suitable denotational model for higher-order probabilistic programs
  with conditioning.
  This entry is a formalization of the s-finite measure monad and related notions,
  including s-finite measures, s-finite kernels, and a proof automation for quasi-Borel spaces which is an
  extension of our previous entry \textit{quasi-Borel spaces}.
  We also implement several examples of probabilistic programs in previous works and prove their property.

  This work is a part of the work by Hirata, Minamide, and Sato,
  \textit{Semantic Foundations of Higher-Order Probabilistic Programs in Isabelle/HOL}
   which will be presented at the 14th Conference on Interactive Theorem Proving (ITP2023).
\end{abstract}

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