PPL 157 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
Prize Problem LedgerIndependentPPL 157Shallit #7 · Are primitive binary words context-free?

Permanent problem IDPPL 157

Source-statedIndependentconjecture

Formal languages

Shallit #7 · Are primitive binary words context-free?

Determine whether the language of primitive—non-power—words over the binary alphabet is context-free.

automata theorytheoretical computer scienceformal languages
01

The problem

Determine whether the language of primitive—non-power—words over the binary alphabet is context-free.

Open since2014source-stated by 2014
Last checked2026.07.26Catalog verification
02

Reward offers

Offer 01£200Jeffrey Shallit
Personal offer

Personal cash offer stated in Shallit’s official talk. The live talks page records subsequent updates, including a paid solution to one omitted problem; confirm claim procedure with the sponsor before relying on the award.

03

Sources & reading