Equivalence Relations and Partial Orderings

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (26)

Page 1 of 3

Covers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.

Relations in Computer Science

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.

Partial Ordering: Relations, Sequences, Summation

Explores partial orderings, divisibility relations, lattices, lexicographic ordering, comparability, and total orderings.

Partial Ordering: Relations, Sequences, Summation

Introduces partial orderings, lattices, and lexicographic orderings on Cartesian products.

Total Order Relation: Properties of Real Numbers

Covers the concept of total order relation and properties of real numbers.

Posets and Equivalence Relations

Introduces posets, Hasse diagrams, and equivalence relations on sets.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Relations and Sequences: Well-ordered Sets and Geometric Series

Explores equivalence relations, well-ordered sets, geometric series, and countable sets.

Lattices for Abstract Interpretation

Covers lattices, abstract interpretation, fixpoint analysis, Hoare logic, and partial orders with extreme elements.

Introduction to Real Numbers

Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.