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Real world applications as in industry and robotics need modelling rich anddiverse automated planning problems. Their resolution usually requirescoordinated and concurrent action execution. In several cases, these problemsare naturally decomposed in a hierarchical way and expressed by a HierarchicalTask Network (HTN) formalism.  HDDL, a hierarchical extension of the Planning Domain Definition Language(PDDL), unlike PDDL 2.1 does not allow to represent planning problems withnumerical and temporal constraints, which are essential for real worldapplications. We propose to fill the gap between HDDL and these operationalneeds and to extend HDDL by taking inspiration from PDDL 2.1 in order toexpress numerical and temporal expressions. This paper opens discussions on thesemantics and the syntax needed for a future HDDL 2.1 extension.

HDDL 2.1: Towards Defining a Formalism and a Semantics for Temporal HTN Planning