Using the signature package:
\begin{figure}
\begin{center}
...
\captionsetup{singlelinecheck=off}
\caption[.]{
\begin{displaymath}
assoc\_meaning(\lambda x_{SBJ}. followed(x,y) \&actor(x) \nonumber \&actor(y),\lambda x_{SBJ}. maintained(x,\nonumber <(dist\_from(y),1))
\end{displaymath}}
\end{center}
\end{figure}
, \caption, , , , , , \usepackage{caption} \captionsetup{...}.