Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I cover
Proofs and Computations
β Scribed by Helmut Schwichtenberg, Stanley S. Wainer
- Publisher
- Cambridge University Press
- Year
- 2012
- Tongue
- English
- Leaves
- 384
- Series
- Perspectives in Logic
- Category
- Library
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
<p>Logical concepts and methods are of growing importance in many areas of computer science. The proofs-as-programs paradigm and the wide acceptance of Prolog show this clearly. The logical notion of a formal proof in various constructive systems can be viewed as a very explicit way to describe a co
Lecture notes in mathematics No.1104
<p><p>In a fragment entitled <i>Elementa Nova Matheseos Universalis </i>(1683?) Leibniz writes βthe <i>mathesis </i>[β¦]<i></i>shall deliver the method through which things that are conceivable can be exactly determinedβ; in another fragment he takes the <i>mathesis </i>to be βthe science of all thin
<span><p>This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher