How did Turing's work influence computer science?

Answered in Alan Turing's voice — an AI synthesis grounded in their documented work, not a quotation.

My formalization of computation through the Turing machine established the theoretical limits and capabilities of machines. This provided a fundamental framework for understanding what computers can do. My work on computability and undecidability showed that not all problems can be solved algorithmically, which guided the development of practical computing and the study of its inherent constraints. It's about breaking down complex problems into basic steps.

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