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update docs to use pod lang v1 (#268)

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Eduard S. 2025-06-10 15:08:45 +02:00 • committed by GitHub
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book/src/custom.md
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@ -14,7 +14,7 @@ On the backend, custom predicates are defined in _groups_. A group can contain
The definition of a custom predicate might also be called an _operation_ or _deduction rule_. It includes two (or, potentially, say, five) statement templates as conditions. The arguments to the statement templates are decomposed as (origin, key) pairs: if statements are allowed to have arity at most 4, then the statement templates in a deduction rule will have at most 8 arguments (4 origins and 4 keys). The same holds for the output statement.
Each argument (origin or key) to an statement template is either a wildcard or a literal. In the backend, the wildcard arguments will be identified as *1, *2, *3, ....
Each argument (origin or key) to an statement template is either a wildcard or a literal. In the backend, the wildcard arguments will be identified as ?1, ?2, ?3, ....
## Examples
@ -32,7 +32,7 @@ For a custom statement, the "reason" includes the following witnesses and verifi
- the definition of the statement, serialized (see [examples](./customexample.md))
- if the statement is part of a group, the definition of the full group, serialized
- verify that the hash of the definition is the statement ID
- the definition will have some number of "wildcards" (*1, *2, ...) as arguments to statement templates; a value for each wildcard must be provided as a witness (each will be either an origin ID or key)
- the definition will have some number of "wildcards" (?1, ?2, ...) as arguments to statement templates; a value for each wildcard must be provided as a witness (each will be either an origin ID or key)
- the circuit must substitute the claimed values for the wildcards, and the resulting statements (true statements with origins and keys) will appear as witnesses
- the circuit must verify that all the input statement templates (with origins and keys) appear in the previous statements (in higher rows of the table)
- the circuit also substitutes the claimed values for the wildcards in the output statement, and verifies that it matches the claimed output statement