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We have all experienced delays and frustrations as a result of the notorious ‘computer glitch.’ However, the more dependent we become on computational systems in our daily lives, the more we must ensure that they are safe, reliable and user-friendly. This engaging textbook presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require no prior knowledge about computers. The text begins with intuition and examples as a basis from which precise concepts are then developed; demonstrating how, by working within the confines of a precise structured method, the occurrence of errors in the system can be drastically reduced. Topics and features: Introduces important concepts from discrete mathematics as the basis of computational thinking, presented in a stimulating and motivating style Demonstrates how game theory provides a paradigm for an intuitive understanding of the nature of computation Contains more than 400 exercises throughout the text, with detailed solutions to half of these presented at the end of the book, together with numerous theorems, definitions and examples Describes an approach to the modelling of computing systems based on state transition systems, exploring the languages and techniques for expressing and reasoning about systems specifications and concurrent implementations This clearly written and classroom-tested textbook/reference is essential reading for first-year undergraduate modules on discrete mathematics and systems modelling.

Engineering & Applied Sciences --- Computer Science --- Computer science. --- Computer logic. --- Mathematical logic. --- Computer science --- Computer Science. --- Logics and Meanings of Programs. --- Mathematical Logic and Formal Languages. --- Discrete Mathematics in Computer Science. --- Math Applications in Computer Science. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Informatics --- Science --- Logic design. --- Computational complexity. --- Complexity, Computational --- Machine theory --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory --- Computer science—Mathematics. --- Machine theory. --- Discrete mathematics. --- Computer Science Logic and Foundations of Programming. --- Formal Languages and Automata Theory. --- Mathematical Applications in Computer Science. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics

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This book constitutes the proceedings of the 16th International Conference on Relational and Algebraic Methods in Computer Science, RAMiCS 2017, held in Lyon, France, in May 2017. The 17 revised full papers and 2 invited papers presented together with 1 invited abstract were carefully selected from 28 submissions. Topics covered range from mathematical foundations to applications as conceptual and methodological tools in computer science and beyond. .

Computer science. --- Software engineering. --- Computer logic. --- Mathematical logic. --- Computer science --- Artificial intelligence. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Symbolic and Algebraic Manipulation. --- Logics and Meanings of Programs. --- Software Engineering. --- Artificial Intelligence (incl. Robotics). --- Discrete Mathematics in Computer Science. --- Mathematics. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Computer science logic --- Computer software engineering --- Informatics --- Mathematics --- Bionics --- Cognitive science --- Digital computer simulation --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Logic, Symbolic and mathematical --- Engineering --- Science --- Algebra --- Logic design. --- Computational complexity. --- Artificial Intelligence. --- Data processing. --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory --- Complexity, Computational --- Algebraic logic --- Computer science—Mathematics. --- Machine theory. --- Discrete mathematics. --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics

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This volume contains the proceedings of the 10th International Seminar on - lational Methods in Computer Science (RelMiCS 10) and the 5th International Workshop on Applications of Kleene Algebra (AKA 5). The joint conference took place in Frauenwo ¨rthon an Island in Lake Chiem in Bavaria,April 7-April 11, 2008. Its purpose was to bring together researchers various subdisciplines of computer science, mathematics and related ?elds who use the calculus of - lations and/or Kleene algebra as methodological and conceptual tools in their work. This conference is the joint continuation of two di?erent strands of meetings. The seminars of the RelMiCS series were held in Schloss Dagstuhl (Germany) in January 1994, Parati (Brazil) in July 1995, Hammamet (Tunisia) in January 1997, Warsaw (Poland) in September 1998, Qu´ ebec (Canada) in January 2000, and Oisterwijk (The Netherlands) in October 2001. The meeting on Appli- tions of Kleene Algebra started as a workshop, also held in Schloss Dagstuhl, in February2001.Tojointhesetwothemesinoneconferencewasmainlymotivated by the substantial common interests and overlap of the two communities. Over the years this has led to fruitful interactions and openened new and interesting researchdirections.Jointmeetings havebeenheldinMalente(Germany)in May 2003, in St. Catherines (Canada) in February 2005 and in Manchester (UK) in August/September 2006. This volume contains 28 contributions by researchersfrom all overthe world.

Mathematical logic --- Computer architecture. Operating systems --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- algebra --- informatica --- wiskunde --- software engineering --- logica --- robots

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This volume contains the proceedings of the 7th International Seminar on - lational Methods in Computer Science (RelMiCS 7) and the 2nd International Workshop onApplications ofKleeneAlgebra.Thecommonmeetingtookplacein Bad Malente (near Kiel), Germany,from May May 12–17,2003.Its purpose was to bring together researchers from various subdisciplines of Computer Science, Mathematics and related ?elds who use the calculi of relations and/or Kleene algebra as methodological and conceptual tools in their work. This meeting is the joint continuation of two di?erent series of meetings. Previous RelMiCS seminars were held in Schloss Dagstuhl (Germany) in J- uary 1994, Parati (Brazil) in July 1995, Hammamet (Tunisia) in January 1997, Warsaw (Poland) in September 1998, Quebec (Canada) in January 2000, and Oisterwijk (The Netherlands) in October 2001. The ?rst workshop on appli- tions of Kleene algebra was also held in Schloss Dagstuhl in February 2001. To join these two events in a common meeting was mainly motivated by the s- stantialcommoninterestsandoverlapofthetwocommunities.Wehopethatthis leads to fruitful interactions and opens new and interesting research directions.

Algebraic logic --- Relation algebras --- Symbolic and Algebraic Manipulation. --- Algebra of relations --- Algebras, Relation --- Relational algebras --- Relations, Algebra of --- Mathematics. --- Software engineering. --- Computer logic. --- Mathematical logic. --- Computer science --- Artificial intelligence. --- Number theory. --- Number Theory. --- Mathematical Logic and Formal Languages. --- Software Engineering. --- Logics and Meanings of Programs. --- Artificial Intelligence (incl. Robotics). --- Logic, Symbolic and mathematical --- Computer science. --- Logic design. --- Algebra --- Artificial Intelligence. --- Data processing. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory --- Computer software engineering --- Engineering --- Informatics --- Science --- Number study --- Numbers, Theory of --- Computer science—Mathematics. --- Computer science logic --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Algebraic logic - Congresses --- Relation algebras - Congresses