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TITOLO "Formal models for discrete distributed systems" Relatore N.Sabadini Periodo: 3-4-10-11 maggio, 12-15 ore CONTENTS Dynamical systems: Basics concepts, Linearity, Minimal Realization, Interconnections of subsystems, Decomposition, Open systems, Hierarchical Systems Finite State Automata: classical definitions, Nerode theorem, Kleene theorem, Rabin automata, weighted automata, timed automata Automata networks and Applications: Cellular Automata: Basic definitions on cellular automata, decision problems, examples Products of Automata: Free partially commutative monoids and trace languages, Zielonka automata, Zielonka Theorem, Arnold-Nivat Automata and applications to Model Checking, neural networks, Krohn– Rhodes theorem CospanSpan(Graph): a categorical algebra for automata Parallel rewriting systems: Biological models of computation, Lindenmayer systems, P-Systems