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Propositional calculus
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Finite Systems Expressed with Formulas
Explores finite transition systems, propositional logic, truth interpretation, satisfiability, and boolean function representation with circuits.
Propositional Logic: Basics and Equivalences
Covers the basics of propositional logic and explores logical equivalences and proof techniques.
Propositional Logic: Basics and Applications
Covers the basics of propositional logic, its history, language, and computing applications.
Propositions as Types: Logic and Programming Correspondence
Explores the relationship between logic proofs and programming evidence through the Curry-Howard Correspondence.
Propositional Logic: Normal Forms
Explains constructing DNF and CNF in propositional logic and their complexity.
Predicate Logic: Universal and Existential Quantifier
Explains variables, predicates, propositional functions, and quantifiers in predicate logic.
What is a Formal Proof?
Covers the concept of formal proof systems, their structure, and soundness.
Linear Algebra: Sets and Propositional Language
Covers sets, propositional language, reading, writing, containment, and cardinality.
Propositional Resolution
Explores completeness in propositional logic, resolution on clauses, conjunctive form, unit resolution, SAT solvers, and proof generation.
Propositional Logic: Implication and Compound Propositions
Covers logical connectives, implication, biconditional, and compound propositions in propositional logic.