Edsger W. Dijkstra created his shortest path algorithm in 20 minutes at a café, highlighting the importance of simplicity in problem-solving without unnecessary complexity.
Initially, for the first five years, Dijkstra and his peers reviewed algorithms thoroughly without machines, proving their correctness through long contemplation before coding.
Dijkstra emphasized the necessity of submitting a proof of correctness with algorithm submissions to filter out incorrect implementations during early algorithm development.
Dijkstra's experience shows the evolution of algorithm verification, shifting from manual proof-discussion to a standardized approach including formal correctness proofs.
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