Lectures related to Term Models for First-Order Logic

Introduces Coq, covering defining propositions, proving theorems, and using tactics.

Automating First-Order Logic Proofs Using Resolution

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

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

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 syntax, semantics, Skolemization, resolution, and normal form transformations.

Predicate Logic: Basics and Applications

Covers the basics and applications of predicate logic, including quantifiers, predicates, and propositional functions.

Automating First-Order Logic Proofs Using Resolution

Covers first-order logic, resolution proofs, Skolem functions, and satisfiability checking in mathematics and program verification.

Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Coq Workshop: Introduction to Interactive Theorem Proving

Introduces Coq, an interactive theorem assistant based on the Curry-Howard isomorphism.

Predicate Logic: Nested Quantifiers

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

Predicate Logic: Quantifiers and Normal Forms

Explores predicate logic, focusing on quantifiers and normal forms, emphasizing the importance of finding witnesses and counterexamples.

Markov Chains: Applications and Coupled Chains

Covers Markov chains, coupled chains, and their applications, emphasizing the importance of irreducibility.

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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Predicate Logic: Quantifiers, CNF, DNF

Covers Predicate Logic, focusing on Quantifiers, CNF, and DNF.

Coq: Overview

Introduces Coq and focuses on proving the theorem and_comm step by step.

Predicate Calculus: Basics

Covers the basics of predicate calculus, including propositions, formulas, terms, and semantic evaluation.

Conformity in Normal Components

Explores conformity in normal components across edges and the importance of continuity for generic components.

The Languages of Isabelle: Isar, ML, and Scala

Explores the languages of Isabelle, focusing on Isar, ML, and Scala, covering proof schemes, Natural Deduction rules, inductive definitions, and the LCF approach.