Post's lattice

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/post-s-lattice

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the discoverer?Emil Post
2. What is the year of publication?1941
3. Why is Post's lattice important for computers?It helps engineers design digital circuits like AND, OR, NOT gates. Knowing all the functions lets them build efficient processors.
4. How many different clones are in Post's lattice?There are 12 distinct clones, each a group of logic functions that stay together when you combine them.

Clone: A set of functions closed under composition and containing all projections.
Composition of Functions: Combining functions such that the output of one becomes the input of another.
Universal Algebra: A branch of mathematics that studies algebraic structures in a general way.
Boolean Function: A function whose inputs and outputs are truth values (e.g., true/false, 0/1).