From LIDL(m) to Timed Automata

LIDL(m) is a decidable fragment of Interval Duration Logic with Located Constraints, an expressive subset of dense-time Duration Calculus. It has been claimed that, for any LIDL(m) formula D, a timed automaton can be constructed which accepts the models of D. However, the proposed construction is incomplete and has not been proved effective. In this paper, we prove the effective construction of equivalent timed automata from LIDL(m) formulae.