Concept
Higher-order logic
Related lectures (31)
Knowledge Representation: Introduction
Covers knowledge representation in AI, logical inference, and applications in various domains.
Automating First-Order Logic Proofs Using Resolution
Covers first-order logic, resolution proofs, Skolem functions, and satisfiability checking in mathematics and program verification.
Predicate Logic: Equivalences, Negations, and De Morgan's Laws
Explores the distribution of quantifiers, logical equivalences, and negations in predicate logic.
Church Numerals and Conditionals
Explores Church numerals and encoding conditionals in lambda calculus.
Term Models for First-Order Logic
Explores term models, substructures, small model theorems, and the Herbrand model in first-order logic.
Predicate Logic: Translating Natural Language into Logic
Covers the translation of natural language sentences into predicate logic and the importance of quantifier order.
Rule Systems, Simulations, and Parallel Worlds
Delves into rule systems, simulations, and parallel worlds, exploring Prolog, backtracking algorithms, logic complexity, the Game of Life simulation, and the concept of Simulats.
Hoare Logic: Strongest Postcondition and Weakest Precondition
Covers Hoare logic, strongest postcondition, and weakest precondition for simplifying proofs in imperative programming.
Automating First-Order Logic Proofs Using Resolution
Covers first-order logic syntax, semantics, and resolution for proving properties.
Predicate Logic: Nested Quantifiers
Explores nested quantifiers in logic and their translation into natural language and mathematical statements.