Research proof index

Theorem: Partial evaluation preserves well-typedness of residuals. If a residual is well-typed in some type environment, then partially evaluating it with a partial request and partial entities produces another well-typed residual in the same type environment. This is a fundamental property ensuring that the partial evaluation process maintains type safet...

Helper theorem: Partial evaluation preserves well-typedness for set residuals.

Helper theorem: Partial evaluation preserves well-typedness for unary application residuals.

The main lemma: Evaluating a residual derived from partially evaluating a well-typed expression is equivalent to that of evaluating the original expression, provided that requests and entities are consistent. The equivalency is defined using Except.toOption.

Policy evaluation soundness for TPE: Evaluating a result residual is equivalent to evaluating the input policy, given valid and consistent requests and entities. The equivalence is w.r.t authorization results. That is, the evaluation results are strictly equal when they are .ok or both errors (captured by Except.toOption). We do not care if the error...

Lemma: evaluating the principalScope of any policy produces a boolean (and does not error)