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Lecture
Logical Equivalences: Constructing, Proving, and Applying
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Propositional Logic: Implication and Compound Propositions
Covers logical connectives, implication, biconditional, compound propositions, and truth tables.
Logical Equivalences: Constructing and Proving Equivalences
Covers constructing and proving logical equivalences, including De Morgan's Laws and tautology proofs.
Mathgraph Theorem Prover
Introduces the Mathgraph Theorem Prover, showcasing its unique approach to representing propositions and organizing graphs for first-order logic.
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Soundness and Completeness of a Propositional Proof System
Explores the importance of soundness and completeness in a propositional proof system.
Discrete Mathematics: Logic, Structures, Algorithms
Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.
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Predicate Logic: Quantifiers and Equivalences
Explores predicate logic, covering quantifiers, equivalences, and translations from natural language.
Propositional Logic: Normal Forms
Explains constructing DNF and CNF in propositional logic and their complexity.