{-# 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 ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{3829}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2975}{\htmlId{3837}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$ ⇀⦇ regpool kh poolParams ,POOL⦈
$\begin{pmatrix} \,\href{Class.HasSingleton.html#288}{\htmlId{3894}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3376}{\htmlId{3896}{\htmlClass{Generalizable}{\text{kh}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3436}{\htmlId{3901}{\htmlClass{Generalizable}{\text{poolParams}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{3912}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{3914}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{3917}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2975}{\htmlId{3925}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$
POOL-retirepool :
────────────────────────────────
pp ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{4005}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2975}{\htmlId{4013}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$ ⇀⦇ retirepool kh e ,POOL⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{4052}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Class.HasSingleton.html#288}{\htmlId{4060}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3376}{\htmlId{4062}{\htmlClass{Generalizable}{\text{kh}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{4067}{\htmlClass{Generalizable}{\text{e}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{4069}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{4071}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2975}{\htmlId{4074}{\htmlClass{Generalizable}{\text{retiring}}}}\, \end{pmatrix}$
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 ❵
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{4494}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{4499}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3234}{\htmlId{4507}{\htmlClass{Generalizable}{\text{delegatees}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2880}{\htmlId{4530}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2775}{\htmlId{4540}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2684}{\htmlId{4550}{\htmlClass{Generalizable}{\text{rwds}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{4557}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ delegate c mv mkh d ,DELEG⦈
$\begin{pmatrix} \,\href{Axiom.Set.Map.html#7168}{\htmlId{4608}{\htmlClass{Function}{\text{insertIfJust}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{4621}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3493}{\htmlId{4623}{\htmlClass{Generalizable}{\text{mv}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2880}{\htmlId{4626}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Axiom.Set.Map.html#7168}{\htmlId{4636}{\htmlClass{Function}{\text{insertIfJust}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{4649}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3403}{\htmlId{4651}{\htmlClass{Generalizable}{\text{mkh}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2775}{\htmlId{4655}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2684}{\htmlId{4665}{\htmlClass{Generalizable}{\text{rwds}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{4670}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{4673}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{4675}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\htmlId{4679}{\htmlClass{Number}{\text{0}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{4681}{\htmlClass{Field Operator}{\text{❵}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1820}{\htmlId{4691}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{4709}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1325}{\htmlId{4713}{\htmlClass{InductiveConstructor}{\text{delegate}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{4722}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3493}{\htmlId{4724}{\htmlClass{Generalizable}{\text{mv}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3403}{\htmlId{4727}{\htmlClass{Generalizable}{\text{mkh}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3114}{\htmlId{4731}{\htmlClass{Generalizable}{\text{d}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{4734}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
DELEG-dereg :
∙ (c , 0) ∈ rwds
∙ (CredentialDeposit c , d) ∈ dep
∙ md ≡ nothing ⊎ md ≡ just d
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{4896}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{4901}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3234}{\htmlId{4909}{\htmlClass{Generalizable}{\text{delegatees}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2880}{\htmlId{4932}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2775}{\htmlId{4942}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2684}{\htmlId{4952}{\htmlClass{Generalizable}{\text{rwds}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{4959}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ dereg c md ,DELEG⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2880}{\htmlId{5001}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5009}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5011}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5013}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5015}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5017}{\htmlClass{Function Operator}{\text{ᶜ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2775}{\htmlId{5021}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5029}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5031}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5033}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5035}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5037}{\htmlClass{Function Operator}{\text{ᶜ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2684}{\htmlId{5041}{\htmlClass{Generalizable}{\text{rwds}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5046}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5048}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5050}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5052}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{5054}{\htmlClass{Function Operator}{\text{ᶜ}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1820}{\htmlId{5064}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{5082}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1398}{\htmlId{5086}{\htmlClass{InductiveConstructor}{\text{dereg}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5092}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3138}{\htmlId{5094}{\htmlClass{Generalizable}{\text{md}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{5098}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
DELEG-reg : let open PParams pp in
∙ c ∉ dom rwds
∙ d ≡ keyDeposit ⊎ d ≡ 0
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{5237}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2927}{\htmlId{5242}{\htmlClass{Generalizable}{\text{pools}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3234}{\htmlId{5250}{\htmlClass{Generalizable}{\text{delegatees}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2880}{\htmlId{5275}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2775}{\htmlId{5285}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2684}{\htmlId{5295}{\htmlClass{Generalizable}{\text{rwds}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{5302}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$ ⇀⦇ reg c d ,DELEG⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2880}{\htmlId{5337}{\htmlClass{Generalizable}{\text{vDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2775}{\htmlId{5347}{\htmlClass{Generalizable}{\text{sDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2684}{\htmlId{5357}{\htmlClass{Generalizable}{\text{rwds}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{5362}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5365}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5367}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\htmlId{5371}{\htmlClass{Number}{\text{0}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5373}{\htmlClass{Field Operator}{\text{❵}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1820}{\htmlId{5385}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{5403}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#2011}{\htmlId{5407}{\htmlClass{InductiveConstructor}{\text{reg}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5411}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3114}{\htmlId{5413}{\htmlClass{Generalizable}{\text{d}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{5416}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
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)
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{5662}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#5520}{\htmlId{5666}{\htmlClass{Bound}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3344}{\htmlId{5671}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3018}{\htmlId{5676}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3245}{\htmlId{5684}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{5699}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2823}{\htmlId{5707}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{5716}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ regdrep c d an ,GOVCERT⦈
$\begin{pmatrix} \,\href{Class.HasSingleton.html#288}{\htmlId{5766}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5768}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{5772}{\htmlClass{Generalizable}{\text{e}}}}\, \,\href{Class.HasAdd.Core.html#162}{\htmlId{5774}{\htmlClass{Field Operator}{\text{+}}}}\, \,\href{Ledger.Conway.PParams.html#3451}{\htmlId{5776}{\htmlClass{Field}{\text{drepActivity}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{5789}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{5791}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{5794}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2823}{\htmlId{5802}{\htmlClass{Generalizable}{\text{ccKeys}}}}\,
\\ \,\href{Ledger.Conway.Conformance.Certs.html#1820}{\htmlId{5817}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#5520}{\htmlId{5835}{\htmlClass{Bound}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1531}{\htmlId{5839}{\htmlClass{InductiveConstructor}{\text{regdrep}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{5847}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3114}{\htmlId{5849}{\htmlClass{Generalizable}{\text{d}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3061}{\htmlId{5851}{\htmlClass{Generalizable}{\text{an}}}}\, ) \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{5856}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
GOVCERT-deregdrep :
∙ c ∈ dom dReps
∙ (DRepDeposit c , d) ∈ dep
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{5984}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{5988}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3344}{\htmlId{5993}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3018}{\htmlId{5998}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3245}{\htmlId{6006}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{6015}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2823}{\htmlId{6023}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{6032}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ deregdrep c d ,GOVCERT⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{6087}{\htmlClass{Generalizable}{\text{dReps}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{6093}{\htmlClass{Function Operator}{\text{∣}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{6095}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{6097}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{6099}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#10748}{\htmlId{6101}{\htmlClass{Function Operator}{\text{ᶜ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2823}{\htmlId{6105}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#1820}{\htmlId{6114}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{6132}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1582}{\htmlId{6136}{\htmlClass{InductiveConstructor}{\text{deregdrep}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{6146}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3114}{\htmlId{6148}{\htmlClass{Generalizable}{\text{d}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{6151}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
GOVCERT-ccreghot :
∙ (c , nothing) ∉ ccKeys
∙ c ∈ cc
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{6268}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{6272}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3344}{\htmlId{6277}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3018}{\htmlId{6282}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3245}{\htmlId{6290}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{6299}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2823}{\htmlId{6307}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{6316}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
⇀⦇ ccreghot c mc ,GOVCERT⦈
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{6371}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Class.HasSingleton.html#288}{\htmlId{6379}{\htmlClass{Field Operator}{\text{❴}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{6381}{\htmlClass{Generalizable}{\text{c}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3198}{\htmlId{6385}{\htmlClass{Generalizable}{\text{mc}}}}\, \,\href{Class.HasSingleton.html#288}{\htmlId{6388}{\htmlClass{Field Operator}{\text{❵}}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{6390}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2823}{\htmlId{6393}{\htmlClass{Generalizable}{\text{ccKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#1820}{\htmlId{6402}{\htmlClass{Function}{\text{updateCertDeposit}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{6420}{\htmlClass{Generalizable}{\text{pp}}}}\, (\,\href{Ledger.Conway.Certs.html#1624}{\htmlId{6424}{\htmlClass{InductiveConstructor}{\text{ccreghot}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3168}{\htmlId{6433}{\htmlClass{Generalizable}{\text{c}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3198}{\htmlId{6435}{\htmlClass{Generalizable}{\text{mc}}}}\,) \,\href{Ledger.Conway.Conformance.Certs.html#3291}{\htmlId{6439}{\htmlClass{Generalizable}{\text{dep}}}}\, \end{pmatrix}$
data _⊢_⇀⦇_,CERT⦈_ : CertEnv → CertState → DCert → CertState → Type where
CERT-deleg :
∙ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{6543}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Certs.html#3793}{\htmlId{6548}{\htmlClass{Field}{\text{PState.pools}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{6561}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Class.IsSet.html#916}{\htmlId{6567}{\htmlClass{Function}{\text{dom}}}}\, (\,\href{Ledger.Conway.Conformance.Certs.html#801}{\htmlId{6572}{\htmlClass{Field}{\text{GState.dreps}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#3546}{\htmlId{6585}{\htmlClass{Generalizable}{\text{stᵍ}}}}\,) \end{pmatrix}$ ⊢ stᵈ ⇀⦇ dCert ,DELEG⦈ stᵈ'
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{6667}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{6671}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3344}{\htmlId{6676}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3018}{\htmlId{6681}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3245}{\htmlId{6689}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3526}{\htmlId{6698}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{6704}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3546}{\htmlId{6710}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$ ⇀⦇ dCert ,CERT⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3530}{\htmlId{6734}{\htmlClass{Generalizable}{\text{stᵈ'}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{6741}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3546}{\htmlId{6747}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$
CERT-pool :
∙ pp ⊢ stᵖ ⇀⦇ dCert ,POOL⦈ stᵖ'
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{6851}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{6855}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3344}{\htmlId{6860}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3018}{\htmlId{6865}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3245}{\htmlId{6873}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3526}{\htmlId{6882}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{6888}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3546}{\htmlId{6894}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$ ⇀⦇ dCert ,CERT⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3526}{\htmlId{6918}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3570}{\htmlId{6924}{\htmlClass{Generalizable}{\text{stᵖ'}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3546}{\htmlId{6931}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$
CERT-vdel :
∙ Γ ⊢ stᵍ ⇀⦇ dCert ,GOVCERT⦈ stᵍ'
────────────────────────────────
Γ ⊢ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3526}{\htmlId{7041}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{7047}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3546}{\htmlId{7053}{\htmlClass{Generalizable}{\text{stᵍ}}}}\, \end{pmatrix}$ ⇀⦇ dCert ,CERT⦈ $\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3526}{\htmlId{7077}{\htmlClass{Generalizable}{\text{stᵈ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{7083}{\htmlClass{Generalizable}{\text{stᵖ}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3550}{\htmlId{7089}{\htmlClass{Generalizable}{\text{stᵍ'}}}}\, \end{pmatrix}$
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
────────────────────────────────
$\begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#3319}{\htmlId{7682}{\htmlClass{Generalizable}{\text{e}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3466}{\htmlId{7686}{\htmlClass{Generalizable}{\text{pp}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3344}{\htmlId{7691}{\htmlClass{Generalizable}{\text{vs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3018}{\htmlId{7696}{\htmlClass{Generalizable}{\text{wdrls}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3245}{\htmlId{7704}{\htmlClass{Generalizable}{\text{cc}}}}\, \end{pmatrix}$ ⊢
$\begin{pmatrix} \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2888}{\htmlId{7721}{\htmlClass{Generalizable}{\text{voteDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{7734}{\htmlClass{Generalizable}{\text{stakeDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2689}{\htmlId{7748}{\htmlClass{Generalizable}{\text{rewards}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3295}{\htmlId{7758}{\htmlClass{Generalizable}{\text{ddep}}}}\, \end{pmatrix}
\\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{7773}{\htmlClass{Generalizable}{\text{stᵖ}}}}\,
\\ \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#2729}{\htmlId{7787}{\htmlClass{Generalizable}{\text{dReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2830}{\htmlId{7795}{\htmlClass{Generalizable}{\text{ccHotKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3300}{\htmlId{7807}{\htmlClass{Generalizable}{\text{gdep}}}}\, \end{pmatrix}
\end{pmatrix}$
⇀⦇ _ ,CERTBASE⦈
$\begin{pmatrix} \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#7415}{\htmlId{7854}{\htmlClass{Bound}{\text{validVoteDelegs}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2783}{\htmlId{7872}{\htmlClass{Generalizable}{\text{stakeDelegs}}}}\, \\ \,\href{Axiom.Set.Map.html#9130}{\htmlId{7886}{\htmlClass{Function}{\text{constMap}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#7366}{\htmlId{7895}{\htmlClass{Bound}{\text{wdrlCreds}}}}\, \,\htmlId{7905}{\htmlClass{Number}{\text{0}}}\, \,\href{Axiom.Set.Map.html#6320}{\htmlId{7907}{\htmlClass{Function Operator}{\text{∪ˡ}}}}\, \,\href{Ledger.Conway.Conformance.Certs.html#2689}{\htmlId{7910}{\htmlClass{Generalizable}{\text{rewards}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3295}{\htmlId{7920}{\htmlClass{Generalizable}{\text{ddep}}}}\, \end{pmatrix}
\\ \,\href{Ledger.Conway.Conformance.Certs.html#3566}{\htmlId{7935}{\htmlClass{Generalizable}{\text{stᵖ}}}}\,
\\ \begin{pmatrix} \,\href{Ledger.Conway.Conformance.Certs.html#7280}{\htmlId{7949}{\htmlClass{Bound}{\text{refreshedDReps}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#2830}{\htmlId{7966}{\htmlClass{Generalizable}{\text{ccHotKeys}}}}\, \\ \,\href{Ledger.Conway.Conformance.Certs.html#3300}{\htmlId{7978}{\htmlClass{Generalizable}{\text{gdep}}}}\, \end{pmatrix}
\end{pmatrix}$
_⊢_⇀⦇_,CERTS⦈_ : CertEnv → CertState → List DCert → CertState → Type
_⊢_⇀⦇_,CERTS⦈_ = ReflexiveTransitiveClosureᵇ' {_⊢_⇀⟦_⟧ᵇ_ = _⊢_⇀⦇_,CERTBASE⦈_}{_⊢_⇀⦇_,CERT⦈_}