The anarchist approach to justice is not to have a government monopoly in judicial matters. Beyond that, it depends on which school of anarchism. Individual anarchists like Benjamin Tucker and modern anarcho-capitalists would have justice/arbitration services provided by a free market, i.e. private courts, whether they be firms, mutuals, or coops is up to the voluntary arrangement people choose for themselves. Cf: Defense Services on the Free Market by Murray Rothbard. At the other extreme are the utopians, who believe that crime will essentially disappear once the State is gone. Classical anarcho-socialist thought tend toward the latter, and thus has little to say about justice.