Dynamic Provings

Dynamic Provings
Author: Jeremy Sherr
Publisher:
Total Pages: 442
Release: 1997-01-01
Genre: Homeopathy
ISBN: 9781901147025

Interactive Theorem Proving

Interactive Theorem Proving
Author: Jeremy Avigad
Publisher: Springer
Total Pages: 657
Release: 2018-07-03
Genre: Mathematics
ISBN: 3319948210

This book constitutes the refereed proceedings of the 9th International Conference on Interactive Theorem Proving, ITP 2018, held in Oxford, UK, in July 2018. The 32 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. The papers feature research in the area of logical frameworks and interactive proof assistants. The topics include theoretical foundations and implementation aspects of the technology, as well as applications to verifying hardware and software systems to ensure their safety and security, and applications to the formal verication of mathematical results. Chapters 2, 10, 26, 29, 30 and 37 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Automated Theorem Proving

Automated Theorem Proving
Author: Monty Newborn
Publisher: Springer Science & Business Media
Total Pages: 244
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461300894

This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.

Interactive Theorem Proving

Interactive Theorem Proving
Author: Matt Kaufmann
Publisher: Springer
Total Pages: 505
Release: 2010-07-13
Genre: Computers
ISBN: 3642140521

This book constitutes the refereed proceedings of the First International Conference on Interactive Theorem proving, ITP 2010, held in Edinburgh, UK, in July 2010. The 33 revised full papers presented were carefully reviewed and selected from 74 submissions. The papers are organized in topics such as counterexample generation, hybrid system verification, translations from one formalism to another, and cooperation between tools. Several verification case studies were presented, with applications to computational geometry, unification, real analysis, etc.

Transactions

Transactions
Author: Homoeopathic Medical Society of the State of New York
Publisher:
Total Pages: 336
Release: 1879
Genre:
ISBN:

Proof and Proving in Mathematics Education

Proof and Proving in Mathematics Education
Author: Gila Hanna
Publisher: Springer Science & Business Media
Total Pages: 468
Release: 2012-06-14
Genre: Education
ISBN: 9400721293

*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

Logical Analysis of Hybrid Systems

Logical Analysis of Hybrid Systems
Author: André Platzer
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2010-09-02
Genre: Mathematics
ISBN: 3642145094

Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.

Interactive Theorem Proving

Interactive Theorem Proving
Author: Christian Urban
Publisher: Springer
Total Pages: 479
Release: 2015-08-18
Genre: Mathematics
ISBN: 3319221027

This book constitutes the proceedings of the 6th International Conference on Interactive Theorem Proving, ITP 2015, held in Nanjing, China, in August 2015. The 27 papers presented in this volume were carefully reviewed and selected from 54 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.