P. J. Scott – författare
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4 produkter
4 produkter
Del 7 - Cambridge Studies in Advanced Mathematics
Introduction to Higher-Order Categorical Logic
Häftad, Engelska, 1988
776 kr
Skickas inom 7-10 vardagar
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 Detailed historical references are provided throughout, and each section concludes with a set of exercises.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.
Inbunden, Engelska, 2023
345 kr
Skickas inom 5-8 vardagar
Häftad, Engelska, 2023
193 kr
Skickas inom 5-8 vardagar
Häftad, Engelska, 2018
270 kr
Skickas inom 3-6 vardagar