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Lecture
Propositional Logic: Organisational Questions
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Propositional Logic: Normal Forms
Explains constructing DNF and CNF in propositional logic and their complexity.
Finite Systems Expressed with Formulas
Explores finite transition systems, propositional logic, truth interpretation, satisfiability, and boolean function representation with circuits.
What is a Formal Proof?
Covers the concept of formal proof systems, their structure, and soundness.
Propositional Logic: Normal Forms and Applications
Explores Disjunctive Normal Form and Conjunctive Normal Form in propositional logic, their applications, and complexity, with practical examples.
Discrete Mathematics: Logic, Structures, Algorithms
Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.
Propositional Logic: Implication and Compound Propositions
Covers logical connectives, implication, biconditional, and compound propositions in propositional logic.
Propositional Logic: Examples
Covers interesting facts about propositional logic and Sudoku solving strategies.
Proofs: Logical Equivalence and Inference Rules
Covers the concept of logical equivalence in proofs and inference rules.
Logical Equivalences: Constructing, Proving, and Applying
Covers the process of showing logical equivalences through examples and introduces De Morgan's Laws.
Finite Systems Expressed with Formulas
Explores encoding finite systems with boolean functions, propositional logic, inductive invariants, and formal proof systems.