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Government purchasing --- Marchés publics --- Law and legislation --- Droit --- Public contracts --- Marchés publics --- Public contracts - France.

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Decentralization in government --- -34 <09> --- Centralization in government --- Devolution in government --- Government centralization --- Government decentralization --- Government devolution --- Political science --- Central-local government relations --- Federal government --- Local government --- Public administration --- History --- -Rechtsgeschiedenis --(algemeen) --- Nord (France : Dept.) --- -Politics and government --- 34 <09> Rechtsgeschiedenis --(algemeen) --- Rechtsgeschiedenis --(algemeen) --- 34 <09> --- Nord (France : Département) --- Politics and government.

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This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action. Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource. It can also serve as a supplemental text for a specialized graduate topics course. .

Algebra. --- Logic, Symbolic and mathematical. --- Systems theory. --- Computer science. --- Astronautics. --- Category Theory, Homological Algebra. --- Mathematical Logic and Foundations. --- Systems Theory, Control. --- Mathematical Logic and Formal Languages. --- Aerospace Technology and Astronautics. --- Space sciences --- Aeronautics --- Astrodynamics --- Space flight --- Space vehicles --- Informatics --- Science --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Mathematical analysis --- Category theory (Mathematics). --- Homological algebra. --- Mathematical logic. --- System theory. --- Aerospace engineering. --- Aeronautical engineering --- Astronautics --- Engineering --- Systems, Theory of --- Systems science --- Homological algebra --- Homology theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Philosophy

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Mathematical logic --- Category theory. Homological algebra --- Algebra --- Space research --- Astronomy --- Applied physical engineering --- Engineering sciences. Technology --- Computer science --- algebra --- astronauten --- computers --- systeemtheorie --- wiskunde --- systeembeheer --- ingenieurswetenschappen --- logica --- ruimtevaart --- computerkunde