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A Temporal Logic with Event Clock Automata for Timed Hybrid Petri Nets

The Hybrid Functional Petri Nets (HFPN) formalism has already shown its convenience for modelling biological systems. This class of models have been fruitfully applied in biology but the remarkable expressiveness of HFPN often leads to incomplete formal validations. In this paper, we propose a formal logical framework for Timed Hybrid Petri Nets (THPN), a sub-class of HFPN. We propose an extension of Event Clock Logic dedicated to THPN and a procedure to convert a THPN into a real-time automaton. A small biological model shows that our framework allows us to formally prove properties by a well suited model-checking procedure.