Lectures related to Admissible rule

Covers the interpretation of propositional logic and inference rules for implication, conjunction, and double negation.

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

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

Introduces the Mathgraph Theorem Prover, showcasing its unique approach to representing propositions and organizing graphs for first-order logic.

Explains how to determine and build valid arguments in propositional logic.

Explores the Blue Brain Project's journey from modeling brain tissue to future goals.

Covers inference rules in propositional logic and common logical fallacies.

Explores theorem proving in first-order logic and the saturation-based approach, highlighting the Vampire theorem prover.

Explains how premises imply conclusions using inference rules and truth tables in propositional logic.

Covers inference rules in propositional logic and common logical fallacies.

Covers the translation of natural language sentences into predicate logic and the importance of quantifier order.

Covers rules of inference for quantified statements and demonstrates constructing valid arguments using predicate logic.

Explains mathematical induction for proving propositions true for all positive integers.

Covers rules of inference for quantified statements and constructing valid arguments using predicate logic.

Explores rules of inference, quantified statements, and proof methods in logic and mathematics.

Covers first-order logic syntax, semantics, Skolemization, resolution, and normal form transformations.