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(.module:
[library
[lux #*
["_" test (#+ Test)]
[abstract
[hash (#+ Hash)]
[monad (#+ do)]
[\\specification
["$." functor (#+ Injection Comparison)]
["$." apply]
["$." monad]]]
[data
["." text ("#\." equivalence)]]
[math
["." random]
[number
["n" nat]]]]]
[\\library
["." / (#+ Context Privacy Can_Conceal Can_Reveal Privilege Private)]])
(def: (injection can_conceal)
(All (_ label)
(-> (Can_Conceal label) (Injection (All (_ value) (Private value label)))))
can_conceal)
(def: (comparison can_reveal)
(All (_ label)
(-> (Can_Reveal label) (Comparison (All (_ value) (Private value label)))))
(function (_ == left right)
(== (can_reveal left)
(can_reveal right))))
(type: Password
(Private Text))
(type: (Policy %)
(Interface
(: (Hash (Password %))
&hash)
(: (-> Text (Password %))
password)
(: (Privilege Privacy %)
privilege)))
(def: (policy _)
(Ex (_ %) (-> Any (Policy %)))
(/.with_policy
(: (Context Privacy Policy)
(function (_ (^@ privilege (^open "%\.")))
(implementation
(def: &hash
(implementation
(def: &equivalence
(implementation
(def: (= reference sample)
(text\= (%\can_downgrade reference)
(%\can_downgrade sample)))))
(def: hash
(|>> %\can_downgrade
(\ text.hash hash)))))
(def: password
%\can_upgrade)
(def: privilege
privilege))))))
(def: .public test
Test
(<| (_.covering /._)
(_.for [/.Policy
/.Can_Upgrade /.Can_Downgrade])
(do random.monad
[.let [policy_0 (policy [])]
raw_password (random.ascii 10)
.let [password (\ policy_0 password raw_password)]]
($_ _.and
(_.for [/.Privacy /.Private /.Can_Conceal /.Can_Reveal
/.Safety /.Safe /.Can_Trust /.Can_Distrust]
($_ _.and
(_.for [/.functor]
($functor.spec (..injection (\ policy_0 can_upgrade)) (..comparison (\ policy_0 can_downgrade)) /.functor))
(_.for [/.apply]
($apply.spec (..injection (\ policy_0 can_upgrade)) (..comparison (\ policy_0 can_downgrade)) /.apply))
(_.for [/.monad]
($monad.spec (..injection (\ policy_0 can_upgrade)) (..comparison (\ policy_0 can_downgrade)) /.monad))))
(_.cover [/.Privilege /.Context /.with_policy]
(and (\ policy_0 = password password)
(n.= (\ text.hash hash raw_password)
(\ policy_0 hash password))))
(let [policy_1 (policy [])
delegate (/.delegation (\ policy_0 can_downgrade) (\ policy_1 can_upgrade))]
(_.cover [/.Delegation /.delegation]
(\ policy_1 = (delegate password) (delegate password))))
))))
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