The Automation of Syllogistic, Vol. 2 (Classic Reprint): Optimization and Complexity Issues: Optimization and Complexity Issues (Classic Reprint) - Softcover
Synopsis
Explore how logic and set theory meet computation in this rigorous take on syllogistic schemes and satisfiability.
Delve into methods for deciding when a complex collection of set-theoretic formulas can be true, and learn how these ideas connect to practical complexity results.
This work analyzes a formal system of set-theoretic formulas, introduces notions like p-compatibility and p-compatible DAGs, and shows how satisfiability can be tested by a structured, backtracking-friendly approach. It also covers how certain formula classes relate to well-known complexity results, including NP-completeness, and presents algorithmic perspectives on decision problems for MLSF and its extensions.
- How to represent models and equivalence relations that arise from set-theoretic formulas
- Techniques for generating and testing candidate schemes that witness satisfiability
- Connections between syllogistic reasoning and graph-based decision procedures
- NP-completeness results for expanded prenex and simple prenex formula classes
Ideal for readers of mathematical logic, theoretical computer science, and advanced studies in logic and complexity.
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The Automation of Syllogistic, Vol. 2: Optimization and Complexity Issues
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Paperback. Condition: New. Print on Demand. This book introduces a series of mathematical formulas and techniques for evaluating set theories. These theories, called syllogistic schemes, are applicable to any finite collection of set variables, and easily demonstrate the satisfiability, or truth, of each. It has been shown that any formula can be broken down as a disjunction of syllogistic formulas. The initial part of this book focuses on refining the algorithm outlined above, while the second half explores complexity issues related to classes of set-theoretic formulas. The author proves that if a set of syllogistic schemes is non-empty, then it contains at least one minimum effort scheme, and that in order to check for satisfiability, only such schemes need to be sought. This search, though it involves backtracking, can be piloted quite effectively. This book will be of interest to mathematicians, logicians, and computer scientists. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334016011_0
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The Automation of Syllogistic, Vol 2 Optimization and Complexity Issues Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334016011
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The Automation of Syllogistic, Vol 2 Optimization and Complexity Issues Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781334016011
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