  We propose a parallel algorithm for local, on the fly, model checking of a
fragment of CTL that is well-suited for modern, multi-core architectures. This
model-checking algorithm takes bene t from a parallel state space construction
algorithm, which we described in a previous work, and shares the same basic set
of principles: there are no assumptions on the models that can be analyzed; no
restrictions on the way states are distributed; and no restrictions on the way
work is shared among processors. We evaluate the performance of diff erent
versions of our algorithm and compare our results with those obtained using
other parallel model checking tools. One of the most novel contributions of
this work is to study a space-e fficient variant for CTL model-checking that
does not require to store the whole transition graph but that operates on a
reverse spanning tree.
