## A Fascinating Country in the World of Computing: Your Guide to Automated ReasoningThis book shows you — through examples and puzzles and intriguing questions — how to make your computer reason logically. To help you, the book includes a CD-ROM with OTTER, the world's most powerful general-purpose reasoning program. The automation of reasoning has advanced markedly in the past few decades, and this book discusses some of the remarkable successes that automated reasoning programs have had in tackling challenging problems in mathematics, logic, program verification, and circuit design. Because the intended audience includes students and teachers, the book provides many exercises (with hints and also answers), as well as tutorial chapters that gently introduce readers to the field of logic and to automated reasoning in general. For more advanced researchers, the book presents challenging questions, many of which are still unsolved. |

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### Contents

The Menu The Map and the Magic | 1 |

Learning Logic by Example | 29 |

Automated Reasoning in Full | 63 |

Machines | 98 |

Logic Circuit Design | 107 |

Logic Circuit Validation | 147 |

Research in Mathematics | 165 |

Research in Formal Logic | 211 |

The Formal Treatment of Automated Reasoning | 255 |

Woss Biased Guide for the Effective Use of OTTER | 309 |

An Authors Appraisal of His Papers | 347 |

Open Questions Hard Problems Intriguing Challenges493 | 493 |

Epilogue and AfterDinner Liqueur | 521 |

561 | |

571 | |

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### Common terms and phrases

algorithm answer applied Argonne assigned automated reasoning assistant automated reasoning program axiom system binary resolution Boolean algebra Chapter choice circuit cited colleague combinatory logic conclusion condensed detachment consists corresponding deduced demodulators discussion end_of_list equality equivalential calculus example exists expression fact false find a proof first-order predicate calculus fixed point combinator fixed point property focusing formula function given group theory hot list strategy hyperresolution Implementation inference rule initial set input file junk lemmas list(sos list(usable literals Lukasiewicz mathematics max_weight McCune negative obtained occur offered open questions OTTER output paper in focus paramodulation predicate present proof by contradiction prove refutation completeness relying replaced resonance strategy result Robbins algebra sentential calculus set of clauses set of support shorter proof Significance for Automated statement steps substitution subsumed subsumption support strategy symbol theorem true unit clauses unit conflict unsatisfiable UR-resolution variables various weight templates