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5 state · Changes

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update 4-core again authored 1 year ago by geruiwang's avatar geruiwang
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zkevm-docs/5-state.markdown
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TODO TODO
排序:在当做电路的输入之前,需要将这个table排序。按元组排序:先按tag,再按callid, pointer hi, pointer, stamp的顺序排序。
验证排序的方式:将元组编码为16bit的limbs,假设有L个。(可以bit更大但是那样比较难做range proof)。上下两行的limbs作差,有L个diff。第一个非零的diff,index记为first_diff_limb。要求diff[first_diff_limb]==0即可。
具体做法:用binary表示first_diff_limb. 需要用log_2 L个变量。再定义变量limb_diff表示diff[first_diff_limb]。再定义inv表示前者的逆。
约束1:建立一个expr数组v,是diff的累计RLC:[diff[0], diff[0]+r diff[1], diff[0]+r diff[1]+r' diff[2]...]。约束first_diff_limb.equal(i) * v[i] == 0。即,前first_diff_limb是否都为0。注:equal是binary表示的一种工具。
注:也许可以把RLC改成^2
约束2:first_diff_limb.equal(i) * diff[i] - limb_diff。即,limb_diff值是否正确
约束3:limb_diff存在inv. 1-limb_diff * inv == 0。即它非零
约束4:limb_diff in range u16
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