Certs
{-# OPTIONS --safe #-}
open import Ledger.Prelude
open import Ledger.Conway.Gov.Base
import Ledger.Conway.Certs
module Ledger.Conway.Conformance.Certs
(gs : _) (open GovStructure gs)
where
open import Ledger.Conway.Gov.Actions gs
private module Certs = Ledger.Conway.Certs gs
open Certs public
hiding (DState; GState; CertState; HasCast-DState; HasCast-GState; HasCast-CertState;
_⊢_⇀⦇_,POOL⦈_; _⊢_⇀⦇_,DELEG⦈_; _⊢_⇀⦇_,GOVCERT⦈_;
_⊢_⇀⦇_,CERT⦈_; _⊢_⇀⦇_,CERTBASE⦈_; _⊢_⇀⦇_,CERTS⦈_; ⟦_,_,_⟧ᵈ)
open RwdAddr
record DState : Type where
constructor ⟦_,_,_,_⟧ᵈ
field
voteDelegs : Credential ⇀ VDeleg
stakeDelegs : Credential ⇀ KeyHash
rewards : Credential ⇀ Coin
deposits : Deposits
record GState : Type where
constructor ⟦_,_,_⟧ᵛ
field
dreps : Credential ⇀ Epoch
ccHotKeys : Credential ⇀ Maybe Credential
deposits : Deposits
record CertState : Type where
constructor ⟦_,_,_⟧ᶜˢ
field
dState : DState
pState : PState
gState : GState
instance
unquoteDecl HasCast-DState HasCast-GState HasCast-CertState = derive-HasCast
( (quote DState , HasCast-DState)
∷ (quote GState , HasCast-GState)
∷ [ (quote CertState , HasCast-CertState) ])
certDeposit : DCert → PParams → Deposits
certDeposit (delegate c _ _ v) _ = ❴ CredentialDeposit c , v ❵
certDeposit (regdrep c v _) _ = ❴ DRepDeposit c , v ❵
certDeposit (reg c v) pp = ❴ CredentialDeposit c , pp .PParams.keyDeposit ❵
certDeposit _ _ = ∅
certRefund : DCert → ℙ DepositPurpose
certRefund (dereg c _) = ❴ CredentialDeposit c ❵
certRefund (deregdrep c _) = ❴ DRepDeposit c ❵
certRefund _ = ∅
updateCertDeposit : PParams → DCert → Deposits → Deposits
updateCertDeposit pp (delegate c _ _ v) deposits = deposits ∪⁺ ❴ CredentialDeposit c , v ❵
updateCertDeposit pp (reg c _) deposits = deposits ∪⁺ ❴ CredentialDeposit c , pp .PParams.keyDeposit ❵
updateCertDeposit pp (regdrep c v _) deposits = deposits ∪⁺ ❴ DRepDeposit c , v ❵
updateCertDeposit pp (dereg c _) deposits = deposits ∣ ❴ CredentialDeposit c ❵ ᶜ
updateCertDeposit pp (deregdrep c _) deposits = deposits ∣ ❴ DRepDeposit c ❵ ᶜ
updateCertDeposit pp (regpool kh _) deposits = deposits ∪⁺ ❴ PoolDeposit kh , pp .PParams.poolDeposit ❵
updateCertDeposit _ (retirepool _ _) deposits = deposits
updateCertDeposit _ (ccreghot _ _) deposits = deposits
private variable
rwds rewards : Credential ⇀ Coin
dReps : Credential ⇀ Epoch
sDelegs stakeDelegs : Credential ⇀ KeyHash
ccKeys ccHotKeys : Credential ⇀ Maybe Credential
vDelegs voteDelegs : Credential ⇀ VDeleg
pools : KeyHash ⇀ PoolParams
retiring : KeyHash ⇀ Epoch
wdrls : RwdAddr ⇀ Coin
an : Anchor
Γ : CertEnv
d : Coin
md : Maybe Coin
c : Credential
mc : Maybe Credential
delegatees cc : ℙ Credential
dCert : DCert
dep ddep gdep : Deposits
e : Epoch
vs : List GovVote
kh : KeyHash
mkh : Maybe KeyHash
poolParams : PoolParams
pp : PParams
mv : Maybe VDeleg
stᵈ stᵈ' : DState
stᵍ stᵍ' : GState
stᵖ stᵖ' : PState
data _⊢_⇀⦇_,POOL⦈_ : PoolEnv → PState → DCert → PState → Type
data _⊢_⇀⦇_,DELEG⦈_ : DelegEnv → DState → DCert → DState → Type
data _⊢_⇀⦇_,POOL⦈_ where
POOL-regpool :
∙ kh ∉ dom pools
────────────────────────────────
pp ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{3837}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2983}{\htmlId{3845}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$ ⇀⦇ regpool kh poolParams ,POOL⦈
$\begin{pmatrix} \,\href{Class.HasSingleton.html#288}{\htmlId{3902}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3384}{\htmlId{3904}{\htmlClass{Generalizable}{\text{kh}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3444}{\htmlId{3909}{\htmlClass{Generalizable}{\text{poolParams}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{3920}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{3922}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{3925}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2983}{\htmlId{3933}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$
POOL-retirepool :
────────────────────────────────
pp ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{4013}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2983}{\htmlId{4021}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$ ⇀⦇ retirepool kh e ,POOL⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{4060}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Class.HasSingleton.html#288}{\htmlId{4068}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3384}{\htmlId{4070}{\htmlClass{Generalizable}{\text{kh}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{4075}{\htmlClass{Generalizable}{\text{e}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{4077}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{4079}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2983}{\htmlId{4082}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$
data _⊢_⇀⦇_,DELEG⦈_ where
DELEG-delegate : let open PParams pp in
∙ (c ∉ dom rwds → d ≡ keyDeposit)
∙ (c ∈ dom rwds → d ≡ 0)
∙ mv ∈ mapˢ (just ∘ credVoter DRep) delegatees ∪
fromList
( nothing
∷ just abstainRep
∷ just noConfidenceRep
∷ []
)
∙ mkh ∈ mapˢ just (dom pools) ∪ ❴ nothing ❵
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{4502}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{4507}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3242}{\htmlId{4515}{\htmlClass{Generalizable}{\text{delegatees}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{4538}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{4548}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2692}{\htmlId{4558}{\htmlClass{Generalizable}{\text{rwds}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{4565}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ delegate c mv mkh d ,DELEG⦈
$\begin{pmatrix} \,\href{Axiom.Set.Map.html#7168}{\htmlId{4616}{\htmlClass{Function}{\text{insertIfJust}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{4629}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3501}{\htmlId{4631}{\htmlClass{Generalizable}{\text{mv}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{4634}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Axiom.Set.Map.html#7168}{\htmlId{4644}{\htmlClass{Function}{\text{insertIfJust}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{4657}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3411}{\htmlId{4659}{\htmlClass{Generalizable}{\text{mkh}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{4663}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2692}{\htmlId{4673}{\htmlClass{Generalizable}{\text{rwds}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{4678}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{4681}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{4683}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\htmlId{4687}{\htmlClass{Number}{\text{0}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{4689}{\htmlClass{Field Operator}{\text{❵}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1828}{\htmlId{4699}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{4717}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1812}{\htmlId{4721}{\htmlClass{InductiveConstructor}{\text{delegate}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{4730}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3501}{\htmlId{4732}{\htmlClass{Generalizable}{\text{mv}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3411}{\htmlId{4735}{\htmlClass{Generalizable}{\text{mkh}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3122}{\htmlId{4739}{\htmlClass{Generalizable}{\text{d}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{4742}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
DELEG-dereg :
∙ (c , 0) ∈ rwds
∙ (CredentialDeposit c , d) ∈ dep
∙ md ≡ nothing ⊎ md ≡ just d
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{4904}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{4909}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3242}{\htmlId{4917}{\htmlClass{Generalizable}{\text{delegatees}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{4940}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{4950}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2692}{\htmlId{4960}{\htmlClass{Generalizable}{\text{rwds}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{4967}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ dereg c md ,DELEG⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{5009}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5017}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5019}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5021}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5023}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5025}{\htmlClass{Function Operator}{\text{ᶜ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{5029}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5037}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5039}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5041}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5043}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5045}{\htmlClass{Function Operator}{\text{ᶜ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2692}{\htmlId{5049}{\htmlClass{Generalizable}{\text{rwds}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5054}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5056}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5058}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5060}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5062}{\htmlClass{Function Operator}{\text{ᶜ}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1828}{\htmlId{5072}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{5090}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1885}{\htmlId{5094}{\htmlClass{InductiveConstructor}{\text{dereg}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5100}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3146}{\htmlId{5102}{\htmlClass{Generalizable}{\text{md}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{5106}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
DELEG-reg : let open PParams pp in
∙ c ∉ dom rwds
∙ d ≡ keyDeposit ⊎ d ≡ 0
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{5245}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2935}{\htmlId{5250}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3242}{\htmlId{5258}{\htmlClass{Generalizable}{\text{delegatees}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{5283}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{5293}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2692}{\htmlId{5303}{\htmlClass{Generalizable}{\text{rwds}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{5310}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$ ⇀⦇ reg c d ,DELEG⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{5345}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{5355}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2692}{\htmlId{5365}{\htmlClass{Generalizable}{\text{rwds}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{5370}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5373}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5375}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\htmlId{5379}{\htmlClass{Number}{\text{0}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5381}{\htmlClass{Field Operator}{\text{❵}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1828}{\htmlId{5393}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{5411}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#2516}{\htmlId{5415}{\htmlClass{InductiveConstructor}{\text{reg}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5419}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3122}{\htmlId{5421}{\htmlClass{Generalizable}{\text{d}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{5424}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
data _⊢_⇀⦇_,GOVCERT⦈_ : GovCertEnv → GState → DCert → GState → Type where
GOVCERT-regdrep : ∀ {pp} → let open PParams pp in
∙ (d ≡ drepDeposit × c ∉ dom dReps) ⊎ (d ≡ 0 × c ∈ dom dReps)
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{5670}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#5528}{\htmlId{5674}{\htmlClass{Bound}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3352}{\htmlId{5679}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3026}{\htmlId{5684}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3253}{\htmlId{5692}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{5707}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2831}{\htmlId{5715}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{5724}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ regdrep c d an ,GOVCERT⦈
$\begin{pmatrix} \,\href{Class.HasSingleton.html#288}{\htmlId{5774}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5776}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{5780}{\htmlClass{Generalizable}{\text{e}}}}\, \,\href{Class.HasAdd.Core.html#162}{\htmlId{5782}{\htmlClass{Field Operator}{\text{+}}}}\, \,\href{Ledger.Conway.PParams.html#4746}{\htmlId{5784}{\htmlClass{Field}{\text{drepActivity}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5797}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{5799}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{5802}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2831}{\htmlId{5810}{\htmlClass{Generalizable}{\text{ccKeys}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1828}{\htmlId{5825}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#5528}{\htmlId{5843}{\htmlClass{Bound}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#2018}{\htmlId{5847}{\htmlClass{InductiveConstructor}{\text{regdrep}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{5855}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3122}{\htmlId{5857}{\htmlClass{Generalizable}{\text{d}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3069}{\htmlId{5859}{\htmlClass{Generalizable}{\text{an}}}}\, ) \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{5864}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
GOVCERT-deregdrep :
∙ c ∈ dom dReps
∙ (DRepDeposit c , d) ∈ dep
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{5992}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{5996}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3352}{\htmlId{6001}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3026}{\htmlId{6006}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3253}{\htmlId{6014}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{6023}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2831}{\htmlId{6031}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{6040}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ deregdrep c d ,GOVCERT⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{6095}{\htmlClass{Generalizable}{\text{dReps}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{6101}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{6103}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{6105}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{6107}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{6109}{\htmlClass{Function Operator}{\text{ᶜ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2831}{\htmlId{6113}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#1828}{\htmlId{6122}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{6140}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#2069}{\htmlId{6144}{\htmlClass{InductiveConstructor}{\text{deregdrep}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{6154}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3122}{\htmlId{6156}{\htmlClass{Generalizable}{\text{d}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{6159}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
GOVCERT-ccreghot :
∙ (c , nothing) ∉ ccKeys
∙ c ∈ cc
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{6276}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{6280}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3352}{\htmlId{6285}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3026}{\htmlId{6290}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3253}{\htmlId{6298}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{6307}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2831}{\htmlId{6315}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{6324}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ ccreghot c mc ,GOVCERT⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{6379}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Class.HasSingleton.html#288}{\htmlId{6387}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{6389}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3206}{\htmlId{6393}{\htmlClass{Generalizable}{\text{mc}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{6396}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{6398}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2831}{\htmlId{6401}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#1828}{\htmlId{6410}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{6428}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#2111}{\htmlId{6432}{\htmlClass{InductiveConstructor}{\text{ccreghot}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3176}{\htmlId{6441}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3206}{\htmlId{6443}{\htmlClass{Generalizable}{\text{mc}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3299}{\htmlId{6447}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
data _⊢_⇀⦇_,CERT⦈_ : CertEnv → CertState → DCert → CertState → Type where
CERT-deleg :
∙ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{6551}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Certs.html#4501}{\htmlId{6556}{\htmlClass{Field}{\text{PState.pools}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{6569}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Class.IsSet.html#916}{\htmlId{6575}{\htmlClass{Function}{\text{dom}}}}\, (\,\href{Ledger.Conway.Conformance.Certs.html#809}{\htmlId{6580}{\htmlClass{Field}{\text{GState.dreps}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3554}{\htmlId{6593}{\htmlClass{Generalizable}{\text{stᵍ}}}}\,) \end{pmatrix}$ ⊢ stᵈ ⇀⦇ dCert ,DELEG⦈ stᵈ'
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{6675}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{6679}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3352}{\htmlId{6684}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3026}{\htmlId{6689}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3253}{\htmlId{6697}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3534}{\htmlId{6706}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{6712}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3554}{\htmlId{6718}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$ ⇀⦇ dCert ,CERT⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3538}{\htmlId{6742}{\htmlClass{Generalizable}{\text{stᵈ'}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{6749}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3554}{\htmlId{6755}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$
CERT-pool :
∙ pp ⊢ stᵖ ⇀⦇ dCert ,POOL⦈ stᵖ'
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{6859}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{6863}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3352}{\htmlId{6868}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3026}{\htmlId{6873}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3253}{\htmlId{6881}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3534}{\htmlId{6890}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{6896}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3554}{\htmlId{6902}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$ ⇀⦇ dCert ,CERT⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3534}{\htmlId{6926}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3578}{\htmlId{6932}{\htmlClass{Generalizable}{\text{stᵖ'}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3554}{\htmlId{6939}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$
CERT-vdel :
∙ Γ ⊢ stᵍ ⇀⦇ dCert ,GOVCERT⦈ stᵍ'
────────────────────────────────
Γ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3534}{\htmlId{7049}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{7055}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3554}{\htmlId{7061}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$ ⇀⦇ dCert ,CERT⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3534}{\htmlId{7085}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{7091}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3558}{\htmlId{7097}{\htmlClass{Generalizable}{\text{stᵍ'}}}}\, \end{pmatrix}$
data _⊢_⇀⦇_,CERTBASE⦈_ : CertEnv → CertState → ⊤ → CertState → Type where
CERT-base :
let open PParams pp
refresh = mapPartial getDRepVote (fromList vs)
refreshedDReps = mapValueRestricted (const (e + drepActivity)) dReps refresh
wdrlCreds = mapˢ stake (dom wdrls)
validVoteDelegs = voteDelegs ∣^ (mapˢ (credVoter DRep) (dom dReps) ∪ fromList (noConfidenceRep ∷ abstainRep ∷ []))
in
∙ filterˢ isKeyHash wdrlCreds ⊆ dom voteDelegs
∙ mapˢ (map₁ stake) (wdrls ˢ) ⊆ rewards ˢ
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3327}{\htmlId{7690}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3474}{\htmlId{7694}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3352}{\htmlId{7699}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3026}{\htmlId{7704}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3253}{\htmlId{7712}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2896}{\htmlId{7729}{\htmlClass{Generalizable}{\text{voteDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2791}{\htmlId{7742}{\htmlClass{Generalizable}{\text{stakeDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2697}{\htmlId{7756}{\htmlClass{Generalizable}{\text{rewards}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3303}{\htmlId{7766}{\htmlClass{Generalizable}{\text{ddep}}}}\, \end{pmatrix}
\\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{7781}{\htmlClass{Generalizable}{\text{stᵖ}}}}\,
\\ \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2737}{\htmlId{7795}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2838}{\htmlId{7803}{\htmlClass{Generalizable}{\text{ccHotKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3308}{\htmlId{7815}{\htmlClass{Generalizable}{\text{gdep}}}}\, \end{pmatrix}
\end{pmatrix}$
⇀⦇ _ ,CERTBASE⦈
$\begin{pmatrix} \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#7423}{\htmlId{7862}{\htmlClass{Bound}{\text{validVoteDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2791}{\htmlId{7880}{\htmlClass{Generalizable}{\text{stakeDelegs}}}}\, \\ \,\href{Axiom.Set.Map.html#9130}{\htmlId{7894}{\htmlClass{Function}{\text{constMap}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#7374}{\htmlId{7903}{\htmlClass{Bound}{\text{wdrlCreds}}}}\, \,\htmlId{7913}{\htmlClass{Number}{\text{0}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{7915}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2697}{\htmlId{7918}{\htmlClass{Generalizable}{\text{rewards}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3303}{\htmlId{7928}{\htmlClass{Generalizable}{\text{ddep}}}}\, \end{pmatrix}
\\ \,\href{Ledger.Conway.Conformance.Certs.html#3574}{\htmlId{7943}{\htmlClass{Generalizable}{\text{stᵖ}}}}\,
\\ \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#7288}{\htmlId{7957}{\htmlClass{Bound}{\text{refreshedDReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2838}{\htmlId{7974}{\htmlClass{Generalizable}{\text{ccHotKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3308}{\htmlId{7986}{\htmlClass{Generalizable}{\text{gdep}}}}\, \end{pmatrix}
\end{pmatrix}$
_⊢_⇀⦇_,CERTS⦈_ : CertEnv → CertState → List DCert → CertState → Type
_⊢_⇀⦇_,CERTS⦈_ = ReflexiveTransitiveClosureᵇ' {_⊢_⇀⟦_⟧ᵇ_ = _⊢_⇀⦇_,CERTBASE⦈_}{_⊢_⇀⦇_,CERT⦈_}