{-# OPTIONS --safe #-}
open import Ledger.Prelude
open import Ledger.Conway.Specification.Gov.Base using (GovStructure)
module Ledger.Conway.Conformance.Certs.Properties (gs : _) (open GovStructure gs) where
open import Data.Maybe.Properties
open import Relation.Nullary.Decidable
open import Ledger.Conway.Specification.Certs.Properties.Computational gs
using (Computational-POOL)
open import Ledger.Conway.Specification.Gov.Actions gs hiding (yes; no)
open import Ledger.Conway.Conformance.Certs gs
open Computational ⦃...⦄
open import stdlib-meta.Tactic.GenError using (genErrors)
open DCert ; open PState
open GovVote
lookupDeposit :
(dep : DepositPurpose ⇀ Coin) (c : DepositPurpose) →
Dec (Any (λ (c' , _) → c ≡ c') (dep ˢ))
lookupDeposit dep c = any? (λ { _ → ¿ _ ¿ }) (dep ˢ)
instance
Computational-DELEG : Computational _⊢_⇀⦇_,DELEG⦈_ String
Computational-DELEG .computeProof de ds =
let open DelegEnv de; open DState ds in
λ where
(delegate c mv mc d) → case ¿ (c ∉ dom rewards → d ≡ pparams .PParams.keyDeposit)
× (c ∈ dom rewards → d ≡ 0)
× mv ∈ mapˢ (just ∘ vDelegCredential) delegatees ∪
fromList ( nothing ∷ just vDelegAbstain ∷ just vDelegNoConfidence ∷ [] )
× mc ∈ mapˢ just (dom (DelegEnv.pools de)) ∪ ❴ nothing ❵ ¿ of λ where
(yes p) → success (-, DELEG-delegate p )
(no ¬p) → failure (genErrors ¬p)
(dereg c md) → case lookupDeposit deposits (CredentialDeposit c) of λ where
(yes ((k , d) , _)) →
case
¿ (c , 0) ∈ rewards
× (CredentialDeposit c , d) ∈ deposits
× (md ≡ nothing ⊎ md ≡ just d)
¿ of λ where
(yes q) → success (-, DELEG-dereg q)
(no ¬q) → failure (genErrors ¬q)
(no ¬p) → failure (genErrors ¬p)
(reg c d) → case ¿ c ∉ dom rewards × (d ≡ pparams .PParams.keyDeposit ⊎ d ≡ 0) ¿ of λ where
(yes p) → success (-, DELEG-reg p)
(no ¬p) → failure (genErrors ¬p)
_ → failure "Unexpected certificate in DELEG"
Computational-DELEG .completeness de ds (delegate c mv mc d)
s' (DELEG-delegate p) rewrite dec-yes (¿ (c ∉ dom (DState.rewards ds) → d ≡ DelegEnv.pparams de .PParams.keyDeposit)
× (c ∈ dom (DState.rewards ds) → d ≡ 0)
× mv ∈ mapˢ (just ∘ vDelegCredential) (DelegEnv.delegatees de) ∪
fromList ( nothing ∷ just vDelegAbstain ∷ just vDelegNoConfidence ∷ [] )
× mc ∈ mapˢ just (dom (DelegEnv.pools de)) ∪ ❴ nothing ❵ ¿) p .proj₂ = refl
Computational-DELEG .completeness _ ds (dereg c nothing) _ (DELEG-dereg h@(p , q , r))
with lookupDeposit (DState.deposits ds) (CredentialDeposit c)
... | (yes ((_ , d') , s₂ , refl)) rewrite dec-yes
(¿ (c , 0) ∈ (DState.rewards ds)
× (CredentialDeposit c , d') ∈ (DState.deposits ds)
× (nothing ≡ nothing {A = ℕ} ⊎ nothing ≡ just d')
¿) (p , s₂ , inj₁ refl) .proj₂ = refl
Computational-DELEG .completeness _ ds (dereg c nothing) _ (DELEG-dereg h@(p , q , r))
| (no ¬s) = ⊥-elim (¬s (_ , q , refl))
Computational-DELEG .completeness _ ds (dereg c (just d)) _ (DELEG-dereg h@(p , q , inj₂ refl))
with lookupDeposit (DState.deposits ds) (CredentialDeposit c)
... | (yes ((_ , d') , q' , refl)) rewrite dec-yes
(¿ (c , 0) ∈ (DState.rewards ds)
× (CredentialDeposit c , d') ∈ (DState.deposits ds)
× (just d ≡ nothing {A = ℕ} ⊎ just d ≡ just d')
¿) (p , q' , inj₂ (cong just (proj₂ (DState.deposits ds) q q'))) .proj₂ = refl
... | (no ¬s) = ⊥-elim (¬s (_ , q , refl))
Computational-DELEG .completeness de ds (reg c d) _ (DELEG-reg p)
rewrite dec-yes (¿ c ∉ dom (DState.rewards ds) × (d ≡ DelegEnv.pparams de .PParams.keyDeposit ⊎ d ≡ 0) ¿) p .proj₂ = refl
Computational-GOVCERT : Computational _⊢_⇀⦇_,GOVCERT⦈_ String
Computational-GOVCERT .computeProof ce gs (regdrep c d _) =
let open CertEnv ce; open GState gs; open PParams pp in
case ¿ (d ≡ drepDeposit × c ∉ dom dreps)
⊎ (d ≡ 0 × c ∈ dom dreps) ¿ of λ where
(yes p) → success (-, GOVCERT-regdrep p)
(no ¬p) → failure (genErrors ¬p)
Computational-GOVCERT .computeProof ce gs (deregdrep c d) =
case ¿ c ∈ dom (GState.dreps gs) × (DRepDeposit c , d) ∈ (GState.deposits gs) ¿ of λ where
(yes p) → success (-, GOVCERT-deregdrep p)
(no ¬p) → failure (genErrors ¬p)
Computational-GOVCERT .computeProof ce gs (ccreghot c _) =
let open CertEnv ce; open GState gs in
case ¿ ((c , nothing) ∉ ccHotKeys ˢ) × c ∈ coldCreds ¿ of λ where
(yes p) → success (-, GOVCERT-ccreghot p)
(no ¬p) → failure (genErrors ¬p)
Computational-GOVCERT .computeProof _ _ _ = failure "Unexpected certificate in GOVCERT"
Computational-GOVCERT .completeness ce gs
(regdrep c d _) _ (GOVCERT-regdrep p)
rewrite dec-yes
¿ (let open CertEnv ce; open PParams pp in
(d ≡ drepDeposit × c ∉ dom (GState.dreps gs)) ⊎ (d ≡ 0 × c ∈ dom (GState.dreps gs)))
¿ p .proj₂ = refl
Computational-GOVCERT .completeness _ gs
(deregdrep c d) _ (GOVCERT-deregdrep p)
rewrite dec-yes ¿ c ∈ dom (GState.dreps gs) × (DRepDeposit c , d) ∈ (GState.deposits gs) ¿ p .proj₂ = refl
Computational-GOVCERT .completeness ce gs
(ccreghot c _) _ (GOVCERT-ccreghot p)
rewrite dec-yes (¿ (((c , nothing) ∉ (GState.ccHotKeys gs) ˢ) × c ∈ CertEnv.coldCreds ce) ¿) p .proj₂ = refl
Computational-CERT : Computational _⊢_⇀⦇_,CERT⦈_ String
Computational-CERT .computeProof ce cs dCert
with computeProof $\begin{pmatrix} \,\href{Ledger.Conway.Specification.Certs.html#3844}{\htmlId{5766}{\htmlClass{Field}{\text{CertEnv.pp}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#5730}{\htmlId{5777}{\htmlClass{Bound}{\text{ce}}}}\, \\ \,\href{Ledger.Conway.Specification.Certs.html#4141}{\htmlId{5782}{\htmlClass{Field}{\text{PState.pools}}}}\, \,\htmlId{5795}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1042}{\htmlId{5796}{\htmlClass{Field}{\text{CertState.pState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#5733}{\htmlId{5813}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{5815}{\htmlClass{Symbol}{\text{)}}}\, \\ \,\href{Class.IsSet.html#916}{\htmlId{5819}{\htmlClass{Function}{\text{dom}}}}\, \,\htmlId{5823}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#850}{\htmlId{5824}{\htmlClass{Field}{\text{GState.dreps}}}}\, \,\htmlId{5837}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1062}{\htmlId{5838}{\htmlClass{Field}{\text{CertState.gState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#5733}{\htmlId{5855}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{5857}{\htmlClass{Symbol}{\text{))}}}\, \end{pmatrix}$
(CertState.dState cs) dCert
| computeProof (CertEnv.pp ce) (CertState.pState cs) dCert
| computeProof ce (CertState.gState cs) dCert
... | success (_ , h) | _ | _ = success (-, CERT-deleg h)
... | failure _ | success (_ , h) | _ = success (-, CERT-pool h)
... | failure _ | failure _ | success (_ , h) = success (-, CERT-vdel h)
... | failure e₁ | failure e₂ | failure e₃ = failure $
"DELEG: " <> e₁ <> "\nPOOL: " <> e₂ <> "\nVDEL: " <> e₃
Computational-CERT .completeness ce cs
dCert@(delegate c mv mc d) cs' (CERT-deleg h)
with computeProof $\begin{pmatrix} \,\href{Ledger.Conway.Specification.Certs.html#3844}{\htmlId{6544}{\htmlClass{Field}{\text{CertEnv.pp}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#6464}{\htmlId{6555}{\htmlClass{Bound}{\text{ce}}}}\, \\ \,\href{Ledger.Conway.Specification.Certs.html#4141}{\htmlId{6560}{\htmlClass{Field}{\text{PState.pools}}}}\, \,\htmlId{6573}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1042}{\htmlId{6574}{\htmlClass{Field}{\text{CertState.pState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#6467}{\htmlId{6591}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{6593}{\htmlClass{Symbol}{\text{)}}}\, \\ \,\href{Class.IsSet.html#916}{\htmlId{6597}{\htmlClass{Function}{\text{dom}}}}\, \,\htmlId{6601}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#850}{\htmlId{6602}{\htmlClass{Field}{\text{GState.dreps}}}}\, \,\htmlId{6615}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1062}{\htmlId{6616}{\htmlClass{Field}{\text{CertState.gState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#6467}{\htmlId{6633}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{6635}{\htmlClass{Symbol}{\text{))}}}\, \end{pmatrix}$
(CertState.dState cs) dCert
| completeness _ _ _ _ h
... | success _ | refl = refl
Computational-CERT .completeness ce cs
dCert@(reg c d) cs' (CERT-deleg h)
with computeProof $\begin{pmatrix} \,\href{Ledger.Conway.Specification.Certs.html#3844}{\htmlId{6860}{\htmlClass{Field}{\text{CertEnv.pp}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#6791}{\htmlId{6871}{\htmlClass{Bound}{\text{ce}}}}\, \\ \,\href{Ledger.Conway.Specification.Certs.html#4141}{\htmlId{6876}{\htmlClass{Field}{\text{PState.pools}}}}\, \,\htmlId{6889}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1042}{\htmlId{6890}{\htmlClass{Field}{\text{CertState.pState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#6794}{\htmlId{6907}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{6909}{\htmlClass{Symbol}{\text{)}}}\, \\ \,\href{Class.IsSet.html#916}{\htmlId{6913}{\htmlClass{Function}{\text{dom}}}}\, \,\htmlId{6917}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#850}{\htmlId{6918}{\htmlClass{Field}{\text{GState.dreps}}}}\, \,\htmlId{6931}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1062}{\htmlId{6932}{\htmlClass{Field}{\text{CertState.gState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#6794}{\htmlId{6949}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{6951}{\htmlClass{Symbol}{\text{))}}}\, \end{pmatrix}$
(CertState.dState cs) dCert
| completeness _ _ _ _ h
... | success _ | refl = refl
Computational-CERT .completeness ce cs
dCert@(dereg c _) cs' (CERT-deleg h)
with computeProof $\begin{pmatrix} \,\href{Ledger.Conway.Specification.Certs.html#3844}{\htmlId{7178}{\htmlClass{Field}{\text{CertEnv.pp}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#7107}{\htmlId{7189}{\htmlClass{Bound}{\text{ce}}}}\, \\ \,\href{Ledger.Conway.Specification.Certs.html#4141}{\htmlId{7194}{\htmlClass{Field}{\text{PState.pools}}}}\, \,\htmlId{7207}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1042}{\htmlId{7208}{\htmlClass{Field}{\text{CertState.pState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#7110}{\htmlId{7225}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{7227}{\htmlClass{Symbol}{\text{)}}}\, \\ \,\href{Class.IsSet.html#916}{\htmlId{7231}{\htmlClass{Function}{\text{dom}}}}\, \,\htmlId{7235}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#850}{\htmlId{7236}{\htmlClass{Field}{\text{GState.dreps}}}}\, \,\htmlId{7249}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Conformance.Certs.html#1062}{\htmlId{7250}{\htmlClass{Field}{\text{CertState.gState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#7110}{\htmlId{7267}{\htmlClass{Bound}{\text{cs}}}}\,\,\htmlId{7269}{\htmlClass{Symbol}{\text{))}}}\, \end{pmatrix}$
(CertState.dState cs) dCert
| completeness _ _ _ _ h
... | success _ | refl = refl
Computational-CERT .completeness ce cs
dCert@(regpool c poolParams) cs' (CERT-pool h)
with completeness _ _ _ _ h
... | refl = refl
Computational-CERT .completeness ce cs
dCert@(retirepool c e) cs' (CERT-pool h)
with completeness _ _ _ _ h
... | refl = refl
Computational-CERT .completeness Γ cs
dCert@(regdrep c d an)
cs' (CERT-vdel h)
with computeProof Γ (CertState.gState cs) dCert | completeness _ _ _ _ h
... | success _ | refl = refl
Computational-CERT .completeness Γ cs
dCert@(deregdrep c _) cs' (CERT-vdel h)
with computeProof Γ (CertState.gState cs) dCert | completeness _ _ _ _ h
... | success _ | refl = refl
Computational-CERT .completeness Γ cs
dCert@(ccreghot c mkh) cs' (CERT-vdel h)
with computeProof Γ (CertState.gState cs) dCert | completeness _ _ _ _ h
... | success _ | refl = refl
Computational-PRE-CERT : Computational _⊢_⇀⦇_,PRE-CERT⦈_ String
Computational-PRE-CERT .computeProof ce cs _ =
let open CertEnv ce; open PParams pp
open GState (CertState.gState cs); open DState (CertState.dState cs)
refresh = mapPartial (isGovVoterDRep ∘ voter) (fromList votes)
refreshedDReps = mapValueRestricted (const (CertEnv.epoch ce + drepActivity)) dreps refresh
in case ¿ filterˢ isKeyHash (mapˢ RewardAddress.stake (dom wdrls)) ⊆ dom voteDelegs
× mapˢ (map₁ RewardAddress.stake) (wdrls ˢ) ⊆ rewards ˢ ¿ of λ where
(yes p) → success (-, CERT-pre p)
(no ¬p) → failure (genErrors ¬p)
Computational-PRE-CERT .completeness ce st _ st' (CERT-pre p)
rewrite let dState = CertState.dState st; open DState dState in
dec-yes ¿ filterˢ isKeyHash (mapˢ RewardAddress.stake (dom (CertEnv.wdrls ce))) ⊆ dom voteDelegs
× mapˢ (map₁ RewardAddress.stake) (CertEnv.wdrls ce ˢ) ⊆ rewards ˢ ¿
p .proj₂ = refl
Computational-POST-CERT : Computational _⊢_⇀⦇_,POST-CERT⦈_ String
Computational-POST-CERT .computeProof ce cs tt = success ( cs' , CERT-post)
where
dreps : DReps
dreps = GState.dreps (CertState.gState cs)
validVoteDelegs : VoteDelegs
validVoteDelegs = (DState.voteDelegs (CertState.dState cs)) ∣^ ( mapˢ vDelegCredential (dom dreps) ∪ fromList (vDelegNoConfidence ∷ vDelegAbstain ∷ []) )
cs' : CertState
cs' = $\begin{pmatrix} \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.Properties.html#9604}{\htmlId{9831}{\htmlClass{Function}{\text{validVoteDelegs}}}}\, \\ \,\htmlId{9849}{\htmlClass{Symbol}{\text{\_}}}\, \\ \,\htmlId{9853}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix} \\ \,\href{Ledger.Conway.Conformance.Certs.html#1042}{\htmlId{9859}{\htmlClass{Field}{\text{CertState.pState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#9484}{\htmlId{9876}{\htmlClass{Bound}{\text{cs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#1062}{\htmlId{9881}{\htmlClass{Field}{\text{CertState.gState}}}}\, \,\href{Ledger.Conway.Conformance.Certs.Properties.html#9484}{\htmlId{9898}{\htmlClass{Bound}{\text{cs}}}}\, \end{pmatrix}$
Computational-POST-CERT .completeness ce cs _ cs' CERT-post = refl
Computational-CERTS : Computational _⊢_⇀⦇_,CERTS⦈_ String
Computational-CERTS = it