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Type Theory and Formal Proof de Herman Geuvers
Descripción - Reseña del editor Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. 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 authors begin with untyped lambda calculus and proceed to several fundamental type systems, including the well-known and powerful Calculus of Constructions. The book also covers the essence of proof checking and proof development, and the use of dependent type theory to formalise mathematics. The only prerequisite is a basic knowledge of undergraduate 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 familiarise themselves with the material. Descripción del libro Type theory is a fast-evolving field at the crossroads of logic, computer science and mathematics. This book provides a gentle step-by-step introduction in the art of formalizing mathematics on the basis of type theory. It is suitable for a broad audience, ranging from undergraduate students to researchers. Biografía del autor Rob Nederpelt was Lecturer in Logic for Computer Science until his retirement. Currently he is a guest researcher in the Faculty of Mathematics and Computer Science at Eindhoven University of Technology, The Netherlands.Herman Geuvers is Professor in Theoretical Informatics at the Radboud University Nijmegen, and Professor in Proving with Computer Assistance at Eindhoven University of Technology, both in The Netherlands.
Detalles del Libro
- Name: Type Theory and Formal Proof
- Autor: Herman Geuvers
- Categoria: Libros,Ciencias, tecnología y medicina,Matemáticas
- Tamaño del archivo: 9 MB
- Tipos de archivo: PDF Document
- Descargada: 125 times
- Idioma: Español
- Archivos de estado: AVAILABLE
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Download type theory and formal proof an introduction pdf note if youre looking for a free download links of type theory and formal proof an introduction pdf epub docx and torrent then this site is not for you ebookphp only do ebook promotions online and we does not distribute any free download of ebook on this site
Introduction to type theory type theory talks about how things can be constructed syntax expressions type theory de nes a formal language this puts type theory somewhere in between the research elds of software technology and proof theory but there is more being a system describing what things can
Type theory and formal proof type theory and formal proof type theory is a fastevolving field at the crossroads of logic computer science and mathematics this gentle stepbystep introduction is ideal for graduate students and researchers who need to understand the ins and outs of the mathematical machinerytheroleoflogicalrulestherein
Type theory and formal proof an introduction nederpelt type theory is a fastevolving field at the crossroads of logic computer science and mathematics this gentle stepbystep 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 wellstructured proofs
Type theory and formal proof an introduction type theory and formal proof an introduction rob nederpelt herman geuvers published by cambridge university press solutions to selected exercises and proof by induction on the structure of the derivation tree of the judgement m n the last step in the derivation can only have been weak form or cond
Type theory and formal proof rob nederpelt buy type theory and formal proof by rob nederpelt herman geuvers isbn 9781107036505 from s book store everyday low prices and free delivery on eligible orders
type theory and formal proof an introduction they conclude with a complete formal proof of bezouts lemma i believe that one could write their proof in a proof assistant however wisely the authors do not commit to a particular software of course this book assume that the reader is interested in lambda calculus and type theory in the context of using it for formal proofs
Type theory and formal proof an introduction book 2014 type theory is a fastevolving field at the crossroads of logic computer science and mathematics this gentle stepbystep 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 wellstructured proofs
Type theory and formal proof by rob nederpelt type theory is a fastevolving field at the crossroads of logic computer science and mathematics this gentle stepbystep 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 wellstructured