Simple inductive proofs of the Fishburn and Mirkin theorem and the Scott-Suppes theorem
The authors give new proofs of the theorems mentioned in the title. By the first theorem, any finite poset with no restriction isomorphic to the cardinal sum of two two-element chains has an interval representation, and by the second one, any finite poset with no restriction isomorphic either to the indicated sum or to the cardinal sum of three-element and one-element chains has a unit interval representation.
scientific article; zbMATH DE number 1968901