A notion of parallelization of concurrent processes is proposed that satisf
ies some intuitive requirements. Roughly, given a process P, a more paralle
l version Q of P can be the result of replacing one of the sequential summa
nds S in one of P subterms by a process R, provided that Q is functionally
equivalent to P and R is either a parallel term or a summand of S. This def
ines an equivalence preserving preorder on processes Q P according to which
in Q parallelism is increased or the amount of redundancy is decreased. We
show that our notion has some connection with the notion of factorization
proposed by Milner and Moller. Finally, we identify some classes of process
es for which the most parallel version is unique. (C) Elsevier, Paris.