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  • Circuits

Field-inv-checked

Formalization and verification of a circuit for checked field inversion.

Given a field element x different from 0, its inverse y is obtained via a constraint of the form

(x) (y) = (1)

which is equivalent to y = 1 / x if x \neq 0.

If x is 0, the constraint has no solution: this is why this is `checked' field inversion.

Subtopics

Field-inv-checked-spec
Specification of the circuit.
Field-inv-checked-circuit
Construction of the circuit.
Field-inv-checked-lifting
Lifting of the circuit to a predicate.