Alphabeta MathHow statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
Private-coin, public-coin, and Arthur--Merlin protocols
Definition
An IP verifier is private-coin when it may keep random bits hidden. It is public-coin when, before each prover response, every random bit used since the preceding prover message is announced; the verifier's next message is therefore its public random string. An Arthur--Merlin protocol is a public-coin interactive protocol, conventionally with Arthur as verifier and Merlin as prover. These are subclasses/presentations of the protocols in The class IP.
Depends on
Used by
Dependency tree · two levels
2 results within two dependency steps of this one, each drawn at its shortest distance from it. An arrow runs from a result to what uses it, so the chart reads left to right and ends at this result, which carries a heavier outline. Every node is a link to that result. Click elsewhere on the chart to enlarge it.
Sources
- Arora and Barak, §8.4 (standard reference, not scraped)