Definition. Evaluation law [ftip-00FC]

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For a fixed evaluation interface from Convention [ftip-005D], an evaluation law is a probability measure \(\mathsf Q\) on the finite outcome space \(\mathcal Z=\mathcal X_{\mathsf T_{\rm ev}}\times \mathcal O_{\mathsf T_{\rm ev}}\) with random pair \((X,O)\sim \mathsf Q\). Its score for artifact \(M\) is a bounded measurable map \(s_M:\mathcal Z\to [0,1]\). Write \(J_{\mathsf Q}(M)=\mathbb E_{\mathsf Q}[s_M(X,O)]\).