The Automation of Syllogistic, Vol. 2 (Classic Reprint): Optimization and Complexity Issues: Optimization and Complexity Issues (Classic Reprint) - Softcover

Inhaltsangabe

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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