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update docs with no-pod-id (#403)

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* update docs with no-pod-id

* Update book/src/anchoredkeys.md

Co-authored-by: Ahmad Afuni <root@ahmadafuni.com>

* Update book/src/custompred.md

Co-authored-by: Ahmad Afuni <root@ahmadafuni.com>

* Update book/src/statements.md

Co-authored-by: Ahmad Afuni <root@ahmadafuni.com>

* Update book/src/statements.md

Co-authored-by: Ahmad Afuni <root@ahmadafuni.com>

---------

Co-authored-by: Ahmad Afuni <root@ahmadafuni.com>
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Eduard S. 2025-09-02 13:34:19 +02:00 • committed by GitHub
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12
book/src/introductionpods.md
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@ -23,11 +23,15 @@ a GitHub account).
### Interface
The interface of a `IntroductionPod` is just the one of the
[RecursivePod](https://github.com/0xPARC/pod2/tree/3ea0d5be71ce98971305076b220079a1b2b7a8d0/src/middleware/mod.rs#L823)
trait, together with matching the expected `vds_root` of the used `VDSet` in the
`MainPod`, and using the same circuit configuration for the proof verification.
[Pod](https://github.com/0xPARC/pod2/blob/511efa8d4477a0d936bd898a484e3b41454b1991/src/middleware/mod.rs#L901)
trait, and by definition the `IntroductionPod` is expected to only output
Introduction statements (or None statements for padding).
This means that as long as we fit into the `RecursivePod` interface, the
An Introduction Statement is a Statement that uses an Introduction predicate
which embeds the verifying key of the circuit that generates it. This way the
statements generated by an `IntroductionPod` are self-describing.
This means that as long as we fit into the `Pod` interface, the
`IntroductionPod` will fit into the recursive verification chain of the
`MainPods`.