# Second order conservative languages with a Maltsev polymorphism also have a majority polymorphism

## TL;DR

This paper proves that second order conservative constraint languages with a Maltsev polymorphism also possess a majority polymorphism, which can be derived from the Maltsev polymorphism, advancing understanding of their algebraic structure.

## Contribution

It establishes that such languages inherently have a majority polymorphism, which can be explicitly constructed from the Maltsev polymorphism, revealing new algebraic properties.

## Key findings

- Existence of a majority polymorphism in the specified languages
- Majority polymorphism can be explicitly defined from Maltsev polymorphism
- Enhances understanding of algebraic structure of constraint languages

## Abstract

The paper proves that for any second order conservative constraint language with a Maltsev polymorphism there is a majority polymorphism. Moreover, the majority polymorphism can be defined by the Maltsev polymorphism.