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Everything about TC0

Complexity class used in circuit complexity

In theoretical computer science, and specifically computational complexity theory and circuit complexity, TC0 (Threshold Circuit) is the first class in the hierarchy of TC classes. TC0 contains all languages which are decided by Boolean circuits with constant depth and polynomial size, containing only unbounded fan-in AND gates, OR gates, NOT gates, and MAJ gates, or equivalently, threshold gates. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: TC0A 5-minute orientation
  2. Skim a recent paper: Quantum Automating TC0-Frege Is LWE-HardInfluential work since 2022
  3. Pick up a classic book: Classic carsThe most-reprinted book on the subject
  4. Read the landmark paper: Human Tc1 and Tc2/Tc0 CD8 T-cell clones display distinct cell surface and functional phenotypesCited 114 times
  5. Go sideways: ACC0A closely related topic
  6. Go sideways: Circuit complexityA closely related topic

📖 Definitions

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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