A comprehensive guide to the congruence closure algorithm—understanding equality reasoning in automated reasoning systems, from union-find data structures to SMT solvers.
Explore first-order theories, their role in decision procedures, and applications in formal verification of software and hardware systems.
Master the systematic 8-step process for converting first-order logic formulas to clausal form. Learn Skolemization, CNF transformation, and practical examples for resolution-based theorem proving.
Learn about the Most General Unifier (MGU), a cornerstone concept in automated theorem proving. Understand unification, substitutions, and why MGU matters for logic programming and resolution provers.
A comprehensive guide to Clausal Normal Form (CNF), the standard format for SAT solvers. Learn conversion algorithms, practical examples, and applications in automated reasoning with 20+ code examples.
An accessible introduction to the fundamentals of first-order theorem proving, covering syntax, semantics, proofs, and the core concepts behind automated reasoning.
Master first-order theorem proving with automated reasoning techniques, resolution methods, unification algorithms, and practical implementations for formal verification.
Comprehensive guide to abductive reasoning, exploring how to generate and evaluate hypotheses that explain observations.
Comprehensive guide to automated reasoning applications in software engineering, exploring verification, testing, and quality assurance.
Comprehensive introduction to automated theorem proving, exploring how to automatically discover and verify mathematical proofs using computational methods.
Comprehensive guide to the Boolean satisfiability problem, exploring NP-completeness, practical algorithms, and applications in automated reasoning.
Comprehensive guide to logical reasoning applications in cybersecurity, exploring threat analysis, security verification, and automated defense.
Comprehensive guide to reasoning systems and inference engines, exploring how to build systems that automatically derive conclusions from knowledge bases.
Comprehensive guide to resolution and refutation, exploring how to prove theorems by deriving contradictions from negated goals.
Comprehensive guide to modern SAT solver algorithms, exploring CDCL, heuristics, and techniques that make SAT solvers practical for real-world problems.
Comprehensive guide to satisfiability modulo theories, exploring how to solve problems in theories like arithmetic, arrays, and uninterpreted functions.
Comprehensive guide to tableau methods, exploring systematic proof search through semantic tableaux and their applications in automated reasoning.
A comprehensive introduction to logic, exploring its definition, historical development, fundamental concepts, and importance in mathematics, computer science, and everyday reasoning.
An accessible yet rigorous introduction to First-Order Logic and its role in program verification, automated reasoning, and formal methods