Why the word is the key
The question is words. A key that matches the question is a key that makes the answer one lookup.
The size claim
The index is larger than the library. Larger is honest when the answer is faster, and the trade is written.
The structure is a word pointing at documents. The pointing is the whole engine, and the pointing is what makes an answer independent of the library size.
About 1 min of reading
Build a posting list
Write two postings
Before you run it, say out loud what it will print. Then open the answer.
Merge two postings
Before you run it, say out loud what it will print. Then open the answer.
Write the size trade
Before you run it, say out loud what it will print. Then open the answer.
The question is words. A key that matches the question is a key that makes the answer one lookup.
The index is larger than the library. Larger is honest when the answer is faster, and the trade is written.
The value is a list of ids. A list of ids is a posting, and a posting is the smallest honest answer.
Sorted means two lists can be merged in one walk. The walk is the cost, and the cost is linear rather than squared.
Written means it can be read back. Read back means the build and the answer are separate programs.
Each one is defined here on this site. Open the entry for the full definition and the other words it points at.