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book: Reword paragraph about degree of relation polynomials

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Jack Grigg 2021-02-12 15:13:16 +00:00
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8
book/src/design/proving-system/vanishing.md
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@ -7,10 +7,10 @@ various circuit relations are satisfied:
- The rules of the lookup arguments. - The rules of the lookup arguments.
- The rules of the equality constraint permutations. - The rules of the equality constraint permutations.
Each of these relations is inherently represented as a polynomial of degree $d$ (the Each of these relations is represented as a polynomial of degree $d$ (the maximum degree
maximum degree of any of the relations). Given that the degree of the assignment of any of the relations) with respect to the circuit columns. Given that the degree of the
polynomials (over which these relations are built) is $n - 1$, the full polynomial assignment polynomials for each column is $n - 1$, the relation polynomials have degree
representing each relation has degree $d(n - 1)$. $d(n - 1)$ with respect to $X$.
> In our [example](../proving-system.md#example), these would be the gate polynomials, of > In our [example](../proving-system.md#example), these would be the gate polynomials, of
> degree $3n - 3$: > degree $3n - 3$: