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This book is an intellectually stimulating excursion into mathematical machines and structures capable for a universal computation. World top experts in computer science and mathematics overview exciting and intriguing topics of logical theory of monoids, geometry of Gauss word, philosophy of mathematics in computer science, asynchronous and parallel P-systems, decidability in cellular automata, splicing systems, reversible Turing machines, information flows in two-way finite automata, prime generators in automaton arrays, Grossone and Turing machines, automaton models of atomic lattices. The book is  full of visually attractive examples of mathematical machines, open problems and challenges for future research. Those interested in the advancement of a theory of computation, philosophy of mathematics, future and emergent computing paradigms, architectures and implementations will find the book vital for their research and development.

Engineering. --- Complexity. --- Complex Networks. --- Mathematical Applications in Computer Science. --- Physics. --- Ingénierie --- Physique --- Engineering & Applied Sciences --- Computer Science --- Cellular automata. --- Neural networks (Computer science) --- Artificial neural networks --- Nets, Neural (Computer science) --- Networks, Neural (Computer science) --- Neural nets (Computer science) --- Computers, Iterative circuit --- Iterative circuit computers --- Structures, Tessellation (Automata) --- Tessellation structures (Automata) --- Computer science --- Computer mathematics. --- Complexity, Computational. --- Mathematics. --- Artificial intelligence --- Natural computation --- Soft computing --- Parallel processing (Electronic computers) --- Pattern recognition systems --- Sequential machine theory --- Applications of Graph Theory and Complex Networks. --- Construction --- Industrial arts --- Technology --- Computational complexity. --- Computer science—Mathematics. --- Computer mathematics --- Electronic data processing --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Complexity, Computational --- Machine theory --- Dynamics. --- Nonlinear theories. --- Graph theory. --- Applied Dynamical Systems. --- Graph Theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Extremal problems

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The book gives a comprehensive overview of the state-of-the-art research and engineering in theory and application of Lattice Automata in design and control of autonomous Robots. Automata and robots share the same notional meaning. Automata (originated from the latinization of the Greek word “αυτόματον”) as self-operating autonomous machines invented from ancient years can be easily considered the first steps of robotic-like efforts. Automata are mathematical models of Robots and also they are integral parts of robotic control systems. A Lattice Automaton is a regular array or a collective of finite state machines, or automata. The Automata update their states by the same rules depending on states of their immediate neighbours. In the context of this book, Lattice Automata are used in developing modular reconfigurable robotic systems, path planning and map exploration for robots, as robot controllers, synchronisation of robot collectives, robot vision, parallel robotic actuators. All chapters are written in an accessible manner and lavishly illustrated. The book will help computer and robotic scientists and engineers to understand mechanisms of decentralised functioning of robotic collectives and to design future and emergent reconfigurable, parallel and distributed robotic systems.  .

Robots --- Robotics --- Design and construction. --- Automata --- Automatons --- Robotics and Automation. --- Complexity. --- Computational Intelligence. --- Complex Networks. --- Engineering. --- Physics. --- Computational intelligence. --- Complexity, Computational. --- Robotics. --- Automation. --- Automatic factories --- Automatic production --- Computer control --- Engineering cybernetics --- Factories --- Industrial engineering --- Mechanization --- Assembly-line methods --- Automatic control --- Automatic machinery --- CAD/CAM systems --- Automation --- Machine theory --- Complexity, Computational --- Electronic data processing --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Construction --- Industrial arts --- Technology --- Manipulators (Mechanism) --- Mecha (Vehicles) --- Applications of Graph Theory and Complex Networks. --- Computational complexity.