Higher-order logic

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Related lectures (13)

Automating First-Order Logic Proofs Using Resolution

Covers first-order logic syntax, semantics, and resolution for proving properties.

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.

Mathgraph Theorem Prover

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

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.

Predicate Logic: Nested Quantifiers

Explores nested quantifiers in logic and their translation into natural language and mathematical statements.

Predicate Logic: Nested Quantifiers

Explores nested quantifiers, order importance, and translation into logic.

Automating First-Order Logic Proofs Using Resolution

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

Theorem Proving and Vampire

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

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.

Hoare Logic: Strongest Postcondition and Weakest Precondition

Covers Hoare logic, strongest postcondition, and weakest precondition for simplifying proofs in imperative programming.

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