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  • Circuits

Boolean-neq

Formalization and verification of a circuit for boolean non-equality.

Given two field elements x and y representing booleans (i.e. such that each field element is either 0 or 1; see boolean-assert), the boolean-xor circuit can be also used to set z to 0 or 1 depending on whether x and y are equal or not:

\mathit{boolean_xor}(x,y,z)

Subtopics

Boolean-neq-spec
Specification of the circuit.
Boolean-neq-correctness
Correctness of the circuit.
Boolean-neq-circuit
Construction of the circuit.
Boolean-neq-lifting
Lifting of the circuit to a predicate.