Lectures related to Horn-satisfiability

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

Covers the case analysis rule, propositional resolution, soundness, completeness, and resolution on clauses, with practical exercises included.

Covers satisfiability threshold, clusters of solutions, parameter alpha, and average cluster computation.

Covers the calculation of propositions in predicate logic with a focus on logical connectives.

Explores quantifiers with finite domains, uniqueness quantifier, composite statements, variable binding, and validity in logic.

Covers the concept of universe of discourse and truth values in predicate logic.

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

Explores a variety of open problems in graph theory and computational complexity, challenging students to analyze and solve complex issues.

Explores predicate logic, focusing on quantifiers and normal forms, emphasizing the importance of finding witnesses and counterexamples.

Covers Predicate Logic, focusing on Quantifiers, CNF, and DNF.

Explores finite transition systems, propositional logic, truth interpretation, satisfiability, and boolean function representation with circuits.

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

Introduces Satisfiability Modulo Theories (SMT) solving, covering propositional logic, uninterpreted functions, and quantifier instantiation.

Covers Presburger arithmetic, quantifier elimination, and the transformation of formulas into disjunctive normal form.

Covers first-order logic, resolution proofs, Skolem functions, and satisfiability checking in mathematics and program verification.

Explores Quantum Approximate Optimization Algorithm for solving combinatorial problems efficiently.