Type Theory and Formal Proof
Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. The authors begin with untyped lambda calculus and proceed to several fundamental type systems culminating in the well-known and powerful Calculus of Constructions. This gentle step… Celý popis ↓
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Popis Type Theory and Formal Proof
Type Theory and Formal Proof
Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. The authors begin with untyped lambda calculus and proceed to several fundamental type systems culminating in the well-known and powerful Calculus of Constructions. This gentle step-by-step introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinery, the role of logical rules therein, the essential contribution of definitions and the decisive nature of well-structured proofs.
The only prerequisites are a good knowledge of undergraduate algebra and analysis. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalize mathematics. Carefully chosen examples illustrate the theory throughout.
Each chapter ends with a summary of the content, some historical context, suggestions for further reading and a selection of exercises to help readers familiarize themselves with the material.
Parametre
- Výrobca
- Cambridge University Press
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