A Modal Logic Approach to Decision Process Petri Nets

Julio Clempner, Jesus Medel
INTERNATIONAL JOURNAL OF MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES   unpublished
In this paper we introduce a new modeling paradigm for developing decision process representation associating to any Decision Process Petri net (DPPN) a Kripke structure (KS). The principal characteristics of this model is its ability to represent and analyze the shortest-path properties of a decision process. In this sense, we use a Lypunov-like function as a state-value function for path planning, obtaining as a result new characterizations for nal decision points. We show that the dynamics
more » ... the DPPN can be captured by a KS and, some dynamic properties of a DPPN can be stated in temporal logics. The temporal logic is constructed according to the Lypunov-like function syntax and semantics. Moreover, we consider some results and discuss possible directions for further research.
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