Category Theory Applied to Computation and Control -

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Résumé :
Basic concepts of category theory applicable to computation and control.- A control theorist looks at abstract nonsense.- A Categorist's view of automata and systems.- Categorical theory of tree processing.- Realization of multilinear and multidecomposable machines.- Fuzzy morphishms in automata theory.- Time-varying systems.- Addressed machines and duality.- Factorization of scott-style automata.- An abstract machine theory for formal language parsers.- Some structural properties of automata defined on groups.- Automata in additive categories with applications to stochastic linear automata.- The algebraic theory of recursive program schemes.- Realization is continuously universal.- Diagram-characterization of recursion.- Power and initial automata in pseudoclosed categories.- Semantics of computation.- Scattering theory and non linear systems.- Synthesis and complexity of logical systems.- Strukturelle verwandtschaften von Semi-Thue-Systemen.- Control of linear continuous-time systems defined over rings of distributions.- Cellular automata with additive local transition.- Automata in semimodule categories.- Representation of a class of nonlinear systems.- Duals of input/output maps.- An algebraic formulation of the Chomsky hierarchy.- On the recursive specification of data types.- Linear systems over rings of operators.- The tricotyledon theory of system design.

Sommaire:
Basic concepts of category theory applicable to computation and control.- A control theorist looks at abstract nonsense.- A Categorist's view of automata and systems.- Categorical theory of tree processing.- Realization of multilinear and multidecomposable machines.- Fuzzy morphishms in automata theory.- Time-varying systems.- Addressed machines and duality.- Factorization of scott-style automata.- An abstract machine theory for formal language parsers.- Some structural properties of automata defined on groups.- Automata in additive categories with applications to stochastic linear automata.- The algebraic theory of recursive program schemes.- Realization is continuously universal.- Diagram-characterization of recursion.- Power and initial automata in pseudoclosed categories.- Semantics of computation.- Scattering theory and non linear systems.- Synthesis and complexity of logical systems.- Strukturelle verwandtschaften von Semi-Thue-Systemen.- Control of linear continuous-time systems defined over rings of distributions.- Cellular automata with additive local transition.- Automata in semimodule categories.- Representation of a class of nonlinear systems.- Duals of input/output maps.- An algebraic formulation of the Chomsky hierarchy.- On the recursive specification of data types.- Linear systems over rings of operators.- The tricotyledon theory of system design....