Lectures related to Tautology (logic)

Covers translating natural language to propositional logic and proving tautologies.

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

Covers constructing and proving logical equivalences, including De Morgan's Laws and tautology proofs.

Covers the concept of formal proof systems, their structure, and soundness.

Covers the basics of predicate logic, including quantifiers and statements.

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

Covers the answers to a quiz on propositional logic, emphasizing the importance of clarity in logical statements.

Covers the basics of formal logic, focusing on logical expressions and mathematical proofs.

Covers predicate logic and sets theory, explaining how to manipulate logical expressions.

Introduces propositional logic, logical connectives, implications, and equivalences, with examples and facts about tautology and contradiction.

Covers logical connectives, implication, biconditional, compound propositions, and truth tables.

Covers logical connectives, implication, biconditional, and compound propositions in propositional logic.

Covers the answers to quiz questions on predicate logic.

Explores existential quantifiers, truth values, and composite statements in predicate logic.

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

Covers the basics of propositional logic and explores logical equivalences and proof techniques.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.