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We present several completely general diversity metrics to quantify theproblem-solving capacity of any public policy decision making process. This isperformed by modelling the policy process using a declarative process paradigmin conjunction with constraints modelled by expressions in linear temporallogic. We introduce a class of traces, called first-passage traces, torepresent the different executions of the declarative processes. Heuristics ofwhat properties a diversity measure of such processes ought to satisfy are usedto derive two different metrics for these processes in terms of the set offirst-passage traces. These metrics turn out to have formulations in terms ofthe entropies of two different random variables on the set of traces of theprocesses. In addition, we introduce a measure of `goodness' whereby a trace istermed {\it good} if it satisfies some prescribed linear temporal logicexpression. This allows for comparisons of policy processes with respect to theprescribed notion of `goodness'.

Combinatorial diversity metrics for the analysis of policy processes