main PE soundness theorems #402
Draft
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This PR includes the main soundness theorems for partial authorization (in
Thm/Partial/Authorization.lean
) and partial evaluation (inThm/Partial/Evaluation.lean
). Draft for now because although it contains over 5K lines of proof (!), it also still contains approximately 52sorry
s (!)This PR also fixes a few soundness problems which otherwise prevent the theorems from holding (!):
Partial.Response
no longer carry a copy of the specific error, just the ID of the policy that errored, so that structural equality ofPartial.Response
has the intended semantics (matching how the spec authorizer is specified; see Lean: Specify authz response includes ids of erroring policies #206).true && residual
cannot returnresidual
in all cases. Consider the case whereresidual
is a single unknown, and that we substitute it with37
. We need the substitute-and-reevaluate operation to return type-error, not37
. This PR has partial evaluation just returntrue && residual
in all these cases. More precision is possible in the future, but not required for soundness.false || residual
.Partial.evaluate
andPartial.evaluateValue
.principal
,context
, etc) or aGetAttr
getting an entity attribute, instead of returning the partial value directly, it needs toevaluateValue
it, in case the partial value contains a residual that could be (fully) evaluated (e.g., because a substitution operation was recently performed on it).