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Explores the nature of mathematical proof in a range of historical settings, providing the first comprehensive history of proof.
Mathematics, Ancient --- Proof theory --- Logic, Symbolic and mathematical --- Ancient mathematics --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Philosophy. --- History. --- Prova, Teoria de la. --- Matemàtica --- Lògica de la matemàtica --- Matemàtica, Lògica de la --- Demostració, Teoria de la --- Lògica matemàtica --- Filosofia. --- Histoire des mathematiques --- Logique mathematique --- Theorie de la preuve
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This Festschrift volume has been published in honor of Cristian Calude on the occasion of his 60th birthday and contains contributions from invited speakers and regular papers presented at the International Workshop on Theoretical Computer Science, WTCS 2012, held in Auckland, New Zealand, in February 2012. Cristian Calude has made a significant contribution to research in computer science theory. Along with early work by Chaitin, Kučera, Kurtz, Solovay, and Terwijn his papers published in the mid-1990s jointly with Khoussainov, Hertling, and Wang laid the foundation for the development of modern theory of algorithmic randomness. His work was essential for establishing the leading role of New Zealand in this area. The research interests of Cristian Calude are reflected in the topics covered by the 32 papers included in this book, namely: algorithmic information theory, algorithms, automata and formal languages, computing and natural sciences, computability and applications, logic and applications, philosophy of computation, physics and computation, and unconventional models of computation. They have been organized into four parts. The first part consists of papers discussing his life achievements. This is followed by papers in the three general areas of complexity, computability, and randomness; physics, philosophy (and logic), and computation; and algorithms, automata, and formal models (including unconventional computing).
Computer science --- Engineering & Applied Sciences --- Computer Science --- Computer logic --- Mathematics --- Computer science. --- Computers. --- Algorithms. --- Computer logic. --- Mathematical logic. --- Computer Science. --- Algorithm Analysis and Problem Complexity. --- Mathematical Logic and Formal Languages. --- Computation by Abstract Devices. --- Logics and Meanings of Programs. --- Mathematics of Computing. --- Theory of Computation. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science logic --- Logic, Symbolic and mathematical --- Algorism --- Algebra --- Arithmetic --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Informatics --- Science --- Foundations --- Computer software. --- Logic design. --- Information theory. --- Communication theory --- Communication --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Switching theory --- Software, Computer --- Computer science—Mathematics. --- Lògica informàtica --- Sistemes adaptatius --- Lògica de la informàtica --- Lógica dels ordinadors --- Lògica matemàtica --- Control adaptatiu --- Sistemes adaptatius de control --- Sistemes autoadaptatius de control --- Sistemes de control adaptatius --- Sistemes de control autoadaptatius --- Intel·ligència artificial --- Sistemes autoorganitzatius --- Sistemes de control per retroacció --- Workshop on Theoretical Computer Science --- WTCS --- Machine theory. --- Formal Languages and Automata Theory. --- Computer Science Logic and Foundations of Programming. --- Abstract automata --- Abstract machines --- Automata --- Mathematical machine theory --- Algorithms --- Recursive functions --- Robotics
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