Concept

Propositional variable

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Covers the basics of discrete mathematics, including logic, structures, and algorithms.

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

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

Explores propositions, proofs, and contraposition in mathematical theory, emphasizing logical rules and proof methods.

Explains variables, predicates, propositional functions, and quantifiers in predicate logic.

Covers propositions, logical connectives, truth tables, and propositional logic language.

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

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

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

Covers the basics of propositional logic, its history, language, and computing applications.

Covers propositional logic, truth tables, and problem-solving strategies in discrete mathematics.

Covers the basics and applications of predicate logic, including quantifiers, predicates, and propositional functions.

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

Covers the instructor's organizational questions and emphasizes the importance of video watching, exercises, and Discord interaction.

Covers the concept of logical equivalence in proofs and inference rules.

Covers the process of showing logical equivalences through examples and introduces De Morgan's Laws.

Covers set operations and their relations to propositional logic, including cardinality.

Covers set operations and their analogies to propositional logic connectives, including the cardinality of set union.

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