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This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).

Logic, Symbolic and mathematical. --- Proof theory. --- Proof theory --- Logic, Symbolic and mathematical --- Mathematics --- Philosophy --- Physical Sciences & Mathematics --- Philosophy & Religion --- Mathematical Theory --- Logic --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Philosophy. --- Logic. --- Mathematical logic. --- Mathematical Logic and Formal Languages. --- Mathematical Logic and Foundations. --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Computer science. --- Informatics --- Science --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Psychology --- Reasoning --- Thought and thinking --- Methodology --- Logic, symbolic and mathematical

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Philosophy --- Mathematical logic --- Logic --- filosofie --- wiskunde --- logica

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This is a revised and expanded edition of a seminal work in the logic and philosophy of time, originally published in 1968. Arthur N. Prior (1914-1969) was the founding father of temporal logic, and his book offers an excellent introduction to the fundamental questions in the field. Several important papers have been added to the original selection, as well as a comprehensive bibliography of Prior's work and an illuminating interview with his widow, Mary Prior. In addition, the Polish logic which made Prior's writings difficult for many readers has been replaced by standard logical notation. This new edition will secure the classic status of the book.

Mathematical logic --- Modality (Logic) --- Tense (Logic) --- Modalité (Logique) --- Temps (Logique) --- Modality (Logic). --- Tense (Logic). --- Modalité (Logique)