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Everything about Busy beaver

Concept in theoretical computer science

In theoretical computer science, a busy beaver is a Turing program that generates the longest finite output among all programs with the same number of states. A program that generated a longer output must necessarily continue generating forever, i.e. cannot terminate. It is generally undecidable whether a given program is a busy beaver; hence examples are known only for the first few state counts. The busy beaver game aims to find new busy beaver examples. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Busy beaverA 5-minute orientation
  2. Skim a recent paper: Function-Based Conceptual Engineering and the Authority ProblemInfluential work since 2022
  3. Pick up a classic book: PrecalculusThe most-reprinted book on the subject
  4. Read the landmark paper: New Method for Calculating the One-Particle Green's Function with Application to the Electron-Gas ProblemCited 5,275 times
  5. Go sideways: ComputabilityA closely related topic
  6. Go sideways: Halting problemA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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