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Cargando... Introduction to Higher-Order Categorical Logicpor Joachim Lambek, P. J. Scott
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Inscríbete en LibraryThing para averiguar si este libro te gustará. Actualmente no hay Conversaciones sobre este libro. A beautifully clean introduction to the logic of cartesian categories and toposes. With useful "historical perspectives" on the development of the theory. sin reseñas | añadir una reseña
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In this book the authors reconcile two different viewpoints of the foundations of mathematics, namely mathematical logic and category theory. In Part I, they show that typed lambda-calculi, a formulation of higher order logic, and cartesian closed categories are essentially the same. In Part II, it is demonstrated that another formulation of higher order logic (intuitionistic type theories) is closely related to topos theory. Part III is devoted to recursive functions. Numerous applications of the close relationship between traditional logic and the algebraic language of category theory are given. The authors have included an introduction to category theory and develop the necessary logic as required, making the book essentially self-contained. Detailed historical references are provided throughout, and each section concludes with a set of exercises. Thus it is well-suited for graduate courses and research in mathematics and logic. Researchers in theoretical computer science, artificial intelligence and mathematical linguistics will also find this an accessible introduction to a subject of increasing application to these disciplines. No se han encontrado descripciones de biblioteca. |
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Google Books — Cargando... GénerosSistema Decimal Melvil (DDC)511Natural sciences and mathematics Mathematics General PrinciplesClasificación de la Biblioteca del CongresoValoraciónPromedio: No hay valoraciones.¿Eres tú?Conviértete en un Autor de LibraryThing. |