TITLE: Graph that represents logical reasoning
QUESTION [5 upvotes]: The proof of a statement $X$ in terms of assumptions $A$, $B$ and $C$ can sometimes be represented using a directed graph:
$$
\begin{matrix}
  &          & X\\
  & \nearrow &   & \nwarrow\\
A &          &   &          & Y\\
  &          &   & \nearrow &   & \nwarrow\\
  &          & B &          &   &          & C
\end{matrix}
$$
where $Y$ is an intermediate conclusion. $p \to q$ means that "$p$ is used in the proof of $q$", not that "$p$ implies $q$".

What is the name of this kind of "reasoning diagram"?

This paper defines something similar called a logical graph; indeed, its Introduction describes exactly what I described above. However the paper later says that arrows mean implication, and the well-formedness conditions in Definition 1 no longer cater to what I described above.

REPLY [2 votes]: You can think of proofs as programs, so you can just call it a dependency graph or call graph.