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GEOGRAPHIE DES TRANSPORTS REGIONALE --- R.F.A.

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Commemorating the 50th anniversary of the first time a mathematical theorem was proven by a computer system, Freek Wiedijk initiated the present book in 2004 by inviting formalizations of a proof of the irrationality of the square root of two from scientists using various theorem proving systems. The 17 systems included in this volume are among the most relevant ones for the formalization of mathematics. The systems are showcased by presentation of the formalized proof and a description in the form of answers to a standard questionnaire. The 17 systems presented are HOL, Mizar, PVS, Coq, Otter/Ivy, Isabelle/Isar, Alfa/Agda, ACL2, PhoX, IMPS, Metamath, Theorema, Leog, Nuprl, Omega, B method, and Minlog.

Proof theory --- Algebra --- Algèbre --- Data processing. --- Computer programs. --- Logiciels --- Computer programs --- Computer Science --- Mechanical Engineering - General --- Engineering & Applied Sciences --- Mathematics --- Mechanical Engineering --- Physical Sciences & Mathematics --- Information Technology --- Artificial Intelligence --- Computer science. --- Software engineering. --- Mathematical logic. --- Artificial intelligence. --- Computer Science. --- Artificial Intelligence (incl. Robotics). --- Software Engineering. --- Mathematical Logic and Formal Languages. --- 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 --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer software engineering --- Engineering --- Informatics --- Science --- Artificial Intelligence. --- Proof theory - Data processing --- Algebra - Computer programs

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Mathematical logic --- Set theory --- 510.2 --- Foundations of mathematics --- 510.2 Foundations of mathematics --- Théorie des ensembles --- Théorie des ensembles. --- Set theory - Congresses --- Théorie des ensembles.