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Related lectures (19)
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Case Analysis Rule and Propositional Resolution
Covers the case analysis rule, propositional resolution, soundness, completeness, and resolution on clauses, with practical exercises included.
Propositional Logic: Inference Rules
Covers the interpretation of propositional logic and inference rules for implication, conjunction, and double negation.
Predicate Logic: Quantifiers, CNF, DNF
Covers Predicate Logic, focusing on Quantifiers, CNF, and DNF.
Untitled
Automating First-Order Logic Proofs Using Resolution
Covers first-order logic syntax, semantics, and resolution for proving properties.
Automating First-Order Logic Proofs Using Resolution
Covers first-order logic syntax, semantics, Skolemization, resolution, and normal form transformations.
Introduction to SMT Solving
Introduces Satisfiability Modulo Theories (SMT) solving, covering propositional logic, uninterpreted functions, and quantifier instantiation.
Propositions Calculation
Covers the calculation of propositions in predicate logic with a focus on logical connectives.
Predicate Logic: More on Quantifiers
Explores quantifiers with finite domains, uniqueness quantifier, composite statements, variable binding, and validity in logic.
Predicate Logic: Summary of Week 2
Covers the concept of universe of discourse and truth values in predicate logic.
Predicate Logic: Quantifiers and Normal Forms
Explores predicate logic, focusing on quantifiers and normal forms, emphasizing the importance of finding witnesses and counterexamples.
Finite Systems Expressed with Formulas
Explores finite transition systems, propositional logic, truth interpretation, satisfiability, and boolean function representation with circuits.
Finite Systems Expressed with Formulas
Explores encoding finite systems with boolean functions, propositional logic, inductive invariants, and formal proof systems.
Formal Proofs: Checking Invariants and Bounded Model Checking
Explores formal proofs, satisfiability problems, and inductive invariants using SAT queries in sequential circuits.
Predicate Logic: Introduction & Equivalences
Covers predicate logic basics, quantifiers, equivalences, and natural language translation examples.
Presburger Arithmetic and Quantifier Elimination
Covers Presburger arithmetic, quantifier elimination, and the transformation of formulas into disjunctive normal form.
Theory of Computation: Decidability and Complexity
Delves into the theory of computation, covering decidability, complexity, P vs. NP, and reductions.
Factored Representations: Planning Efficiency
Explores factored representations for planning, focusing on reducing complexity and improving efficiency through separate feature modeling.
Promise Constraint Satisfaction and Width
Covers Promise Constraint Satisfaction Problems complexity, width, graph coloring, polymorphisms, and algorithms.
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