From Proof Theory and Univalent Mathematics to Program Extraction and Beyond
In recent years, there has been a growing interest in the use of proof theory and univalent mathematics to extract programs from mathematical proofs. This book provides a comprehensive to this emerging field, covering the theoretical foundations of program extraction as well as practical techniques for extracting programs from a variety of different types of proofs.
Proof theory is the study of the formalization of mathematical proofs. Univalent mathematics is a new foundation for mathematics that is based on the idea that all mathematical objects are types of proofs. This foundation provides a unified framework for understanding a wide range of mathematical concepts, including sets, functions, and categories.
Program extraction is the process of extracting a program from a mathematical proof. This process can be used to generate code that can be executed on a computer, or to verify the correctness of existing code. Program extraction is a powerful tool that can be used to automate the development of software and to improve the reliability of software systems.
4.2 out of 5
| Language | : | English |
| File size | : | 14912 KB |
| Text-to-Speech | : | Enabled |
| Screen Reader | : | Supported |
| Enhanced typesetting | : | Enabled |
| Print length | : | 380 pages |
| X-Ray for textbooks | : | Enabled |
This book provides a comprehensive to the field of program extraction from proof theory and univalent mathematics. The book is divided into four parts:
- Part I: Foundations introduces the basic concepts of proof theory and univalent mathematics.
- Part II: Techniques describes a variety of different techniques for extracting programs from proofs.
- Part III: Applications presents a number of case studies that demonstrate how program extraction can be used to solve real-world problems.
- Part IV: Future Directions discusses the future of program extraction and suggests directions for further research.
The book is written in a clear and concise style, and it is suitable for readers with a background in mathematics or computer science. The book also includes a number of exercises and problems that can be used to test the reader's understanding of the material.
This book provides a valuable to the field of program extraction from proof theory and univalent mathematics. The book is a comprehensive resource for researchers and practitioners who are interested in this emerging field.
4.2 out of 5
| Language | : | English |
| File size | : | 14912 KB |
| Text-to-Speech | : | Enabled |
| Screen Reader | : | Supported |
| Enhanced typesetting | : | Enabled |
| Print length | : | 380 pages |
| X-Ray for textbooks | : | Enabled |
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4.2 out of 5
| Language | : | English |
| File size | : | 14912 KB |
| Text-to-Speech | : | Enabled |
| Screen Reader | : | Supported |
| Enhanced typesetting | : | Enabled |
| Print length | : | 380 pages |
| X-Ray for textbooks | : | Enabled |
