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What is a Complete Word™?

Puzzling Asked by Jack Pettinger on June 30, 2021

This puzzle is based off the What is a Word™ and What is a Phrase™ series started by JLee and their spin-off What is a Number™ series.

If a word conforms to a certain rule, I call it a Complete Word™. Use the following examples to find the rule:

Complete Words™ Not Complete Words™
Ben Bill
Beat Slap
Geek Nerd
Abbey Church
Aching Tiring
Balding Receding
Abdicating Renouncing

CSV version:

Complete Words™, Not Complete Words™
Ben,Bill
Beat,Slap
Geek,Nerd
Abbey,Church
Aching,Tiring
Balding,Receding
Abdicating,Renouncing

These aren’t the only Complete Words™, there are others that exist.

As a bonus, (when it’s possible to do so) I will award a bounty to the person that finds the longest Complete Word. This must be a real word (in English). The bounty will be awarded 24 hours after the accepted answer.

If I’m not allowed to do the above, please tell me to edit.

Edit: Correct answer has been identified and accepted at 22:45 GMT 7th March 2018.

3 Answers

A Complete Word satisfies the property that

Examples

Bonus suggestion

Apologies for the edits, I made several incorrect calculations before arriving at the answer.

Correct answer by hexomino on June 30, 2021

The set of complete words is a closed. So, a complete word plus another complete word is also a complete word. We can thus construct words from other words. For instance geekabdicating is one such word, which probably is not accepted as a solution. If we restrict ourselves to dictionary words

Answered by Carl Löndahl on June 30, 2021

If hexomino's answer is correct, I would guess one of these being the longest Complete Word™:

A slightly shorter, but much more common, Complete Word™ is:

Answered by bewilderex63 on June 30, 2021

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