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This paper explores the process calculus $\text{CLL}_R$ furtherly.  First, we prove that for any equation $X=_{RS} t_X$ such that $X$ is stronglyguarded in $t_X$, $\langle X|X=t_X \rangle$ is the largest solution w.r.t$\sqsubseteq_{RS}$.  Second, we encode a fragment of action-based CTL in $\text{CLL}_R$.

Greatest solutions of equations in $\text{CLL}_R$ and its application