Case Analysis Rule and Propositional Resolution

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Covers first-order logic syntax, semantics, Skolemization, resolution, and normal form transformations.

Covers the interpretation of propositional logic and inference rules for implication, conjunction, and double negation.

Explores completeness in propositional logic, resolution on clauses, conjunctive form, unit resolution, SAT solvers, and proof generation.

Explores the importance of soundness and completeness in a propositional proof system.

Explores formal proofs, satisfiability problems, and inductive invariants using SAT queries in sequential circuits.

Explores encoding finite systems with boolean functions, propositional logic, inductive invariants, and formal proof systems.

Covers Hoare Logic, its foundations, applications, and significance in program verification.

Introduces Coq, covering defining propositions, proving theorems, and using tactics.

Covers first-order logic syntax, semantics, and resolution for proving properties.