Properties
{-# OPTIONS --safe #-}
open import Ledger.Conway.Specification.Gov.Base
module Ledger.Conway.Specification.Enact.Properties (gs : _) (open GovStructure gs) where
open import Ledger.Prelude
open import Ledger.Conway.Specification.Gov.Actions gs hiding (yes; no)
open import Ledger.Conway.Specification.Enact gs
open EnactState
open Computational ⦃...⦄
instance
Computational-ENACT : Computational _⊢_⇀⦇_,ENACT⦈_ String
Computational-ENACT .computeProof Γᵉ s =
let open EnactEnv Γᵉ renaming (treasury to t; epoch to e) in
λ where
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1547}{\htmlId{562}{\htmlClass{InductiveConstructor}{\text{NoConfidence}}}}\, \\ \,\htmlId{584}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ → success (_ , Enact-NoConf)
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1585}{\htmlId{639}{\htmlClass{InductiveConstructor}{\text{UpdateCommittee}}}}\, \\ \,\htmlId{661}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Specification.Enact.Properties.html#662}{\htmlId{662}{\htmlClass{Bound}{\text{new}}}}\, , \,\href{Ledger.Conway.Specification.Enact.Properties.html#668}{\htmlId{668}{\htmlClass{Bound}{\text{rem}}}}\, , \,\href{Ledger.Conway.Specification.Enact.Properties.html#674}{\htmlId{674}{\htmlClass{Bound}{\text{q}}}}\,\,\htmlId{675}{\htmlClass{Symbol}{\text{)}}}\, \end{pmatrix}$ →
case ¿ ∀[ term ∈ range new ]
term ≤ CCMaxTermLengthOf s +ᵉ' e ¿ of λ where
(yes p) → success (-, Enact-UpdComm
(subst (λ x → ∀[ term ∈ range new ] term ≤ x) (sym +ᵉ≡+ᵉ') p))
(no ¬p) → failure "ENACT failed at ∀[ term ∈ range new ] term ≤ (CCMaxTermLengthOf s +ᵉ e)"
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1623}{\htmlId{996}{\htmlClass{InductiveConstructor}{\text{NewConstitution}}}}\, \\ \,\htmlId{1018}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ → success (-, Enact-NewConst)
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1661}{\htmlId{1074}{\htmlClass{InductiveConstructor}{\text{TriggerHardFork}}}}\, \\ \,\htmlId{1096}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ → success (-, Enact-HF)
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1699}{\htmlId{1146}{\htmlClass{InductiveConstructor}{\text{ChangePParams}}}}\, \\ \,\htmlId{1168}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ → success (-, Enact-PParams)
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1775}{\htmlId{1223}{\htmlClass{InductiveConstructor}{\text{Info}}}}\, \\ \,\htmlId{1245}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ → success (-, Enact-Info)
$\begin{pmatrix} \,\href{Ledger.Conway.Specification.Gov.Actions.html#1737}{\htmlId{1297}{\htmlClass{InductiveConstructor}{\text{TreasuryWithdrawal}}}}\, \\ \,\href{Ledger.Conway.Specification.Enact.Properties.html#1319}{\htmlId{1319}{\htmlClass{Bound}{\text{wdrl}}}}\, \end{pmatrix}$ →
case ¿ ∑[ x ← s .withdrawals ∪⁺ wdrl ] x ≤ t ¿ of λ where
(yes p) → success (-, Enact-Wdrl p)
(no _) → failure "ENACT failed at ∑[ x ← (s .withdrawals ∪⁺ wdrl) ᶠᵐ ] x ≤ t"
Computational-ENACT .completeness Γᵉ s action _ p
with action | p
... | $\begin{pmatrix} \,\htmlId{1620}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1547}{\htmlId{1621}{\htmlClass{DottedPattern InductiveConstructor}{\text{NoConfidence}}}}\, \\ \,\htmlId{1643}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ | Enact-NoConf = refl
... | $\begin{pmatrix} \,\htmlId{1697}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1585}{\htmlId{1698}{\htmlClass{DottedPattern InductiveConstructor}{\text{UpdateCommittee}}}}\, \\ \,\htmlId{1720}{\htmlClass{Symbol}{\text{(}}}\,\,\href{Ledger.Conway.Specification.Enact.Properties.html#1721}{\htmlId{1721}{\htmlClass{Bound}{\text{new}}}}\, , \,\href{Ledger.Conway.Specification.Enact.Properties.html#1727}{\htmlId{1727}{\htmlClass{Bound}{\text{rem}}}}\, , \,\href{Ledger.Conway.Specification.Enact.Properties.html#1733}{\htmlId{1733}{\htmlClass{Bound}{\text{q}}}}\,\,\htmlId{1734}{\htmlClass{Symbol}{\text{)}}}\, \end{pmatrix}$ | Enact-UpdComm p
rewrite dec-yes
(¿ ∀[ term ∈ range new ] term
≤ CCMaxTermLengthOf s +ᵉ' EnactEnv.epoch Γᵉ ¿)
(subst (λ x → ∀[ term ∈ range new ] term ≤ x) +ᵉ≡+ᵉ' p) .proj₂
= refl
... | $\begin{pmatrix} \,\htmlId{1964}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1623}{\htmlId{1965}{\htmlClass{DottedPattern InductiveConstructor}{\text{NewConstitution}}}}\, \\ \,\htmlId{1987}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ | Enact-NewConst = refl
... | $\begin{pmatrix} \,\htmlId{2041}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1661}{\htmlId{2042}{\htmlClass{DottedPattern InductiveConstructor}{\text{TriggerHardFork}}}}\, \\ \,\htmlId{2064}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ | Enact-HF = refl
... | $\begin{pmatrix} \,\htmlId{2118}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1699}{\htmlId{2119}{\htmlClass{DottedPattern InductiveConstructor}{\text{ChangePParams}}}}\, \\ \,\htmlId{2141}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ | Enact-PParams = refl
... | $\begin{pmatrix} \,\htmlId{2195}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1775}{\htmlId{2196}{\htmlClass{DottedPattern InductiveConstructor}{\text{Info}}}}\, \\ \,\htmlId{2218}{\htmlClass{Symbol}{\text{\_}}}\, \end{pmatrix}$ | Enact-Info = refl
... | $\begin{pmatrix} \,\htmlId{2272}{\htmlClass{DottedPattern Symbol}{\text{.}}}\,\,\href{Ledger.Conway.Specification.Gov.Actions.html#1737}{\htmlId{2273}{\htmlClass{DottedPattern InductiveConstructor}{\text{TreasuryWithdrawal}}}}\, \\ \,\href{Ledger.Conway.Specification.Enact.Properties.html#2295}{\htmlId{2295}{\htmlClass{Bound}{\text{wdrl}}}}\, \end{pmatrix}$ | Enact-Wdrl p
rewrite dec-yes (¿ ∑[ x ← s .withdrawals ∪⁺ wdrl ] x ≤ EnactEnv.treasury Γᵉ ¿) p .proj₂
= refl