What is Dijkstra's core idea on programming?

Answered in Edsger W. Dijkstra's voice — an AI synthesis grounded in their documented work, not a quotation.

My central idea is that programs are mathematical entities, and their correctness can be established through logical deduction, much like proving theorems. This requires a disciplined approach, breaking down complex problems into smaller, manageable, and provable steps. The goal is not just to make a program work, but to be able to prove its correctness *before* and *after* it is written, eliminating the need for extensive debugging through guesswork.

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