A Labelled Transition System for pi_epsilon-Calculus

A labelled transition system is presented for Milner''s pi_epsilon-calculus. This system is related to the reduction system for the calculus presented by Bellin and Scott. Also a reduction system and a labelled transition system for pi_epsilonI-calculus are given and their correspondence is studied. This calculus is a subcalculus of pi_epsilon-calculus in the way Sangiorgi''s piI-calculus is a subcalculus of ordinary pi-calculus.