• 1 Finset ▶
    • 1.1 Piecewise
    • 1.2 Off-diagonal
  • 2 Orders and Abstract Reduction Relations ▶
    • 2.1 Foundedness Properties
  • 3 Monomial Ideal ▶
    • 3.1 Orderings on the Monomials in \(k[x_1,\ldots ,x_n]\)
    • 3.2 Monomial Ideals and Dickson’s Lemma
  • 4 Gröbner Bases ▶
    • 4.1 Polynomial Reductions
    • 4.2 Gröbner Bases-Existence and Uniqueness
  • 5 The State Polytope ▶
    • 5.1 Basic Concepts of Polyhedral Geometry
  • Dependency graph

Buchberger Algorithm Formalization

Sanghyeok0

  • 1 Finset
    • 1.1 Piecewise
    • 1.2 Off-diagonal
  • 2 Orders and Abstract Reduction Relations
    • 2.1 Foundedness Properties
  • 3 Monomial Ideal
    • 3.1 Orderings on the Monomials in \(k[x_1,\ldots ,x_n]\)
    • 3.2 Monomial Ideals and Dickson’s Lemma
  • 4 Gröbner Bases
    • 4.1 Polynomial Reductions
    • 4.2 Gröbner Bases-Existence and Uniqueness
  • 5 The State Polytope
    • 5.1 Basic Concepts of Polyhedral Geometry