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Structural proof theory
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First-order logic
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Related lectures (6)
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Sequent Calculus: Basics and Applications
Covers the basics and applications of Sequent Calculus in Logic and Proof Theory, including Cut Elimination and practical proof analysis.
Sequent Calculus with Equality
Covers Sequent Calculus with Equality, focusing on atomic formulas and substitution rules.
LISA proof assistant: Formalisation and Verification
Covers the LISA proof assistant's codebase organization, kernel package, FOL formalization, and proof package.
Introduction to Proof Scripting: Basics of Ltac
Introduces the basics of proof scripting in Coq, focusing on the Ltac language and its tactics for managing proofs effectively.
Propositions as Types: Logic and Programming Correspondence
Explores the relationship between logic proofs and programming evidence through the Curry-Howard Correspondence.
Case Analysis Rule and Propositional Resolution
Covers the case analysis rule, propositional resolution, soundness, completeness, and resolution on clauses, with practical exercises included.
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