LNAI 2741 Certifying Solutions to Permutation Group Problems 1st Edition by Arjeh Cohen, Scott Murray, Martin Pollet, Volker Sorge ISBN 9783540450856 354045085X
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Authors:Arjeh Cohen, Scott H. Murray, Martin Pollet; Volker Sorge , Tags:Automated Deduction — CADE-19 , Author sort:Arjeh Cohen, Scott H. Murray, Martin Pollet & Sorge, Volker , Languages:Languages:eng , Published:Published:Oct 2003
LNAI 2741 Certifying Solutions to Permutation Group Problems 1st Edition by Arjeh Cohen, Scott Murray, Martin Pollet, Volker Sorge – Ebook PDF Instant Download/Delivery. 9783540450856, 354045085X
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Product details:
ISBN 10: 354045085X
ISBN 13: 9783540450856
Author: Arjeh Cohen, Scott Murray, Martin Pollet, Volker Sorge
LNAI 2741 Certifying Solutions to Permutation Group Problems 1st Edition Table of contents:
Chapter 1: Introduction to Permutation Groups
- What is a Permutation Group?
- Basic Concepts in Group Theory
- Representations of Permutation Groups
- Applications of Permutation Groups in Computer Science and Mathematics
Chapter 2: Computational Complexity in Permutation Groups
- Understanding Computational Complexity
- Challenges in Solving Permutation Group Problems
- The Role of Algorithms in Group Theory
- Reductions and Optimizations in Permutation Group Computation
Chapter 3: Certifying Solutions in Computational Group Theory
- What Does It Mean to Certify a Solution?
- Methods for Certifying Results in Group Theory
- Verification vs. Certification in Computational Problems
- Algorithms for Certifying Solutions in Permutation Groups
Chapter 4: Algorithms for Permutation Group Problems
- Classical Algorithms for Permutation Groups
- Modern Approaches to Group Computation
- Exact vs. Approximate Solutions
- Efficient Algorithms for Solving Permutation Group Problems
Chapter 5: Application of Certification in Permutation Group Problems
- Case Study 1: Verifying Group Properties
- Case Study 2: Permutation Group Solvers in Cryptography
- Case Study 3: Using Certification in Symmetry Analysis
- Practical Applications in Software and Data Analysis
Chapter 6: Certification of Permutation Group Isomorphisms
- Understanding Group Isomorphisms
- Algorithms for Testing Permutation Group Isomorphisms
- Certifying the Correctness of Isomorphism Tests
- Applications in Computational Biology and Chemistry
Chapter 7: Theoretical Aspects of Certifying Solutions
- Mathematical Foundations of Group Theory and Certification
- Proof Techniques for Certifying Solutions
- Computational Models for Group Theory Problems
- The Complexity of Certifying Permutation Group Solutions
Chapter 8: Optimization and Efficiency in Certification Algorithms
- Improving the Efficiency of Certification Algorithms
- Parallelization and Distributed Computing for Permutation Groups
- Memory and Computational Resource Optimization
- Benchmarking Certification Algorithms
Chapter 9: Future Directions in Group Theory and Certification
- Emerging Trends in Permutation Group Theory
- Integrating Machine Learning with Group Theory
- New Algorithms for Certification in Large-Scale Problems
- Future Challenges and Open Problems in Group Theory Certification
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