# The halo2 Book

[halo2](README.md)
- [Concepts](concepts.md)
  - [Proof systems](concepts/proofs.md)
  - [UltraPLONK Arithmetization](concepts/arithmetization.md)
  - [Cores](concepts/cores.md)
  - [Chips](concepts/chips.md)
  - [Gadgets](concepts/gadgets.md)
- [User Documentation](user.md)
  - [A simple example](user/simple-example.md)
  - [Lookup tables](user/lookup-tables.md)
  - [Gadgets](user/gadgets.md)
  - [Tips and tricks](user/tips-and-tricks.md)
- [Design](design.md)
  - [Multipoint opening argument](design/multipoint-opening.md)
  - [Permutation argument](design/permutation.md)
  - [Lookup argument](design/lookup-argument.md)
  - [Gadgets](design/gadgets.md)
    - [SHA-256](design/gadgets/sha256.md)
      - [16-bit table chip](design/gadgets/sha256/table16.md)