Source-pinned research

Research proof index

Search theorem names, mathematical ideas, modules, topics, projects, and role-labelled researchers. Open a result for its complete indexed Lean declaration and source record.

This index contains 219 research declarations. Search 10,000 more complete Mathlib declarations.

1 topic

219 results

Clear filters
Project-declaredLean 4.31.0

Verify Matches Disjoint is sound

Cedar.Thm.verifyMatchesDisjoint_is_sound

Plain-language statement

The verifyMatchesDisjoint analysis is sound: if the assertions verifyMatchesDisjoint p₁ p₂ εnv are unsatisfiable for the policies p₁ and p₂ and the strongly well-formed symbolic environment εnv, then the policies cannot both match in any strongly well-formed concrete environment env ∈ᵢ εnv.

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Verify Matches Equivalent is complete

Cedar.Thm.verifyMatchesEquivalent_is_complete

Plain-language statement

The verifyMatchesEquivalent analysis is complete: if the assertions verifyMatchesEquivalent p₁ p₂ εnv are satisfiable for the policies p₁ and p₂ and the strongly well-formed symbolic environment εnv, then there exists a strongly well-formed concrete environment env ∈ᵢ εnv such that the policies will have different matching behavior (one matche...

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

View proof record
Project-declaredLean 4.31.0

Verify Matches Equivalent is sound

Cedar.Thm.verifyMatchesEquivalent_is_sound

Plain-language statement

The verifyMatchesEquivalent analysis is sound: if the assertions verifyMatchesEquivalent p₁ p₂ εnv are unsatisfiable for the policies p₁ and p₂ and the strongly well-formed symbolic environment εnv, then the policies will have the same matching behavior (both match or both don't match) when applied to any strongly well-formed concrete environmen...

authorizationprogram verificationsemantics

Source project: Cedar Specification

Person-level attribution pending.

View proof record