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This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In particular, we will show the connection between interpolation for nonmonotonic logic and manipulation of an abstract notion of size. Modularity is essentially the ability to put partial results achieved independently together for a global result. The second aspect of the book is the authors' uniform picture of conditionals, including many-valued logics and structures on the language elements themselves and on the truth value set. The third topic explained by the authors is neighbourhood semantics, their connection to independence, and their common points and differences for various logics, e.g., for defaults and deontic logic, for the limit version of preferential logics, and for general approximation. The book will be of value to researchers and graduate students in logic and theoretical computer science.

Conditionals (Logic) --- Modality (Logic) --- Philosophy --- Mathematics --- Philosophy & Religion --- Physical Sciences & Mathematics --- Logic --- Mathematical Theory --- Modularity (Engineering) --- Software engineering. --- Computer software engineering --- Modular design --- Modularization --- Modularizing --- Computer science. --- Logic. --- Mathematical logic. --- Artificial intelligence. --- Computer Science. --- Mathematical Logic and Formal Languages. --- Artificial Intelligence (incl. Robotics). --- Mathematical Logic and Foundations. --- Engineering --- Engineering design --- Logic, Symbolic and mathematical. --- Artificial Intelligence. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Psychology --- Science --- Reasoning --- Thought and thinking --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- 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 --- Informatics --- Methodology

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Mathematical logic --- Logic --- Artificial intelligence. Robotics. Simulation. Graphics --- wiskunde --- KI (kunstmatige intelligentie) --- logica --- robots --- AI (artificiële intelligentie)

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Philosophy --- Artificial intelligence. Robotics. Simulation. Graphics --- Linguistics --- filosofie --- grafische vormgeving --- linguïstiek --- KI (kunstmatige intelligentie) --- AI (artificiële intelligentie)

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This book is indispensable to any advanced student or researcher using logic in these areas. The chapters are comprehensive and written by major figures in the field. Topics include, Belief Revision, Refutation Systems in Propositional Logic, Quantifier Scope in Formal Linguistics and Non-deterministic Semantics for Logical Systems.

Philosophy --- Logic --- Linguistics --- filosofie --- linguïstiek --- logica