A Proof System with Causal Labels (Part II): checking Counterfactual Fairness
Leonardo Ceragioli, Giuseppe Primiero

TL;DR
This paper extends a typed natural deduction calculus to verify counterfactual fairness in probabilistic classifiers by modeling causal labels and ensuring robustness under their variation.
Contribution
It introduces a formal proof system that models and checks counterfactual fairness using structural conditions on causal labels.
Findings
Formalizes verification of counterfactual fairness
Ensures robustness of evaluation under causal label variations
Extends existing natural deduction calculus
Abstract
In this article we propose an extension to the typed natural deduction calculus TNDPQ to model verification of counterfactual fairness in probabilistic classifiers. This is obtained formulating specific structural conditions for causal labels and checking that evaluation is robust under their variation.
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