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Sudoku glossary

The words you meet in sudoku guides: unit, peer, candidate, strong link, fish and more.

Cell
One of the 81 squares of the grid.
Row, column, box
The three kinds of group that must each hold 1 to 9 once.
Unit
Any row, column or box.
Peers
The 20 other cells that share a row, column or box with a given cell. A digit placed in a cell is removed from all its peers.
Given (clue)
A digit printed in the puzzle at the start.
Candidate (pencil mark)
A digit that could still go in an empty cell.
Single
A digit that is forced in a cell. A naked single is the only candidate of its cell (guide); a hidden single is the only place for its digit in a unit (guide).
Pair, triple, quad (subset)
Two, three or four cells in a unit that between them hold exactly that many candidates (naked), or digits that fit only that many cells (hidden).
Locked candidates
A digit that, within a box, can only go in one line, or the reverse, so it can be removed from the rest of that line or box (guide).
Elimination
Removing a candidate because logic shows it cannot be right.
Strong link
Two places for a digit in a unit where it must go in one of them: exactly two candidates, so if one is false the other is true.
Weak link
Two places for a digit that see each other: they cannot both be true, but both can be false.
Fish
A family of patterns where a digit's candidates in a few rows line up in the same few columns (X-Wing, Swordfish, and larger ones).
Fin
An extra candidate that spoils an otherwise perfect fish; a finned fish still allows eliminations (guide).
Wing
A pattern of two or three cells with few candidates that force a common digit (XY-Wing, XYZ-Wing, W-Wing).
Chain, loop
A sequence of strong and weak links that carries a conclusion from one candidate to another (XY-Chain, X-Chain, nice loops).
Almost locked set (ALS)
N cells in a unit with N+1 candidates between them; useful because removing one candidate turns it into a locked set (ALS-XZ).
Uniqueness
The rule that a proper puzzle has exactly one solution, used to rule out patterns that would give two (Unique Rectangle).
Forcing chain, forcing net
Assume a candidate is true (or false), follow what must follow, and see what holds in every case (guide).
Backdoor
A small set of cells that, once solved, lets the puzzle finish with only singles.

How the app writes cells and steps is explained on the notation page.