An Algebra of Actors Based on True Concurrency

An algebra of actors $\textrm{A}\pi$ fully captures the properties of actors based on asynchronous $\pi$-calculus, but, it is based on the interleaving bisimulation semantics. We adjust $\textrm{A}\pi$ to $\textrm{A}\pi_{tc}$ to make $\textrm{A}\pi$ having a truly concurrent semantics. We give the syntax and operational semantics of $\textrm{A}\pi_{tc}$, and also the truly concurrent semantics model and algebraic laws of $\textrm{A}\pi_{tc}$.