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\begin{document}

\title{A Formalization of the SCL(FOL) Calculus: Simple Clause Learning for First-Order Logic}
\author{Martin Desharnais}
\maketitle

\begin{abstract}
  This Isabelle/HOL formalization covers the unexecutable specification of Simple Clause Learning for first-order logic without equality \cite{Fiori2019,Bromberger2023}: SCL(FOL).
  The main results are formal proofs of soundness, non-redundancy of learned clauses, termination, and refutational completeness.
  Compared to the unformalized version, the formalized calculus is simpler, a number of results were generalized, and the non-redundancy statement was strengthened.
  We found and corrected one bug in a previously published version of the SCL Backtrack rule.
  Compared to related formalizations, we introduce a new technique for showing termination based on non-redundant clause learning.
\end{abstract}

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