Turn buildCfg into a method

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
2026-06-25 09:45:30 -05:00
parent 341a0b80b4
commit c4e5747b6d
4 changed files with 21 additions and 21 deletions

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@@ -94,7 +94,7 @@ theorem stepTrace {s₁ : prog.State} {ρ₁ ρ₂ : Env}
theorem walkTrace {s₁ s₂ : prog.State} {ρ₁ ρ₂ : Env}
(hjoin : joinForKey s₁ (result L prog) ρ₁)
(tr : Trace prog.graph s₁ s₂ ρ₁ ρ₂) :
(tr : Trace prog.cfg s₁ s₂ ρ₁ ρ₂) :
variablesAt s₂ (result L prog) ρ₂ := by
induction tr with
| single hbss => exact stepTrace hjoin hbss

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@@ -15,17 +15,17 @@ namespace Program
variable (p : Program)
def graph : Graph := Graph.wrap (buildCfg p.rootStmt)
def cfg : Graph := Graph.wrap p.rootStmt.cfg
abbrev State : Type := p.graph.Index
abbrev State : Type := p.cfg.Index
def initialState : p.State := (buildCfg p.rootStmt).wrapInput
def initialState : p.State := p.rootStmt.cfg.wrapInput
def finalState : p.State := (buildCfg p.rootStmt).wrapOutput
def finalState : p.State := p.rootStmt.cfg.wrapOutput
theorem trace {ρ : Env} (h : EvalStmt [] p.rootStmt ρ) :
Trace p.graph p.initialState p.finalState [] ρ := by
obtain i₁, h₁, i₂, h₂, tr := EndToEndTrace.wrap (buildCfg_sufficient h)
Trace p.cfg p.initialState p.finalState [] ρ := by
obtain i₁, h₁, i₂, h₂, tr := EndToEndTrace.wrap (Stmt.cfg_sufficient h)
rw [Graph.wrap_inputs, List.mem_singleton] at h₁
rw [Graph.wrap_outputs, List.mem_singleton] at h₂
subst h₁; subst h₂
@@ -35,23 +35,23 @@ def vars : List String := p.rootStmt.vars.sort (· ≤ ·)
theorem vars_nodup : p.vars.Nodup := Finset.sort_nodup _ _
def states : List p.State := p.graph.indices
def states : List p.State := p.cfg.indices
theorem states_complete (s : p.State) : s p.states := p.graph.mem_indices s
theorem states_complete (s : p.State) : s p.states := p.cfg.mem_indices s
theorem states_nodup : p.states.Nodup := p.graph.nodup_indices
theorem states_nodup : p.states.Nodup := p.cfg.nodup_indices
def code (st : p.State) : List BasicStmt := p.graph.nodes st
def code (st : p.State) : List BasicStmt := p.cfg.nodes st
def incoming (s : p.State) : List p.State := p.graph.predecessors s
def incoming (s : p.State) : List p.State := p.cfg.predecessors s
theorem incoming_initialState_eq_nil : p.incoming p.initialState = [] :=
Graph.wrap_predecessors_eq_nil (buildCfg p.rootStmt) p.initialState
Graph.wrap_predecessors_eq_nil p.rootStmt.cfg p.initialState
(by rw [Graph.wrap_inputs]; exact List.mem_singleton_self _)
theorem mem_incoming_of_edge {s₁ s₂ : p.State}
(h : (s₁, s₂) p.graph.edges) : s₁ p.incoming s₂ :=
p.graph.mem_predecessors_of_edge h
(h : (s₁, s₂) p.cfg.edges) : s₁ p.incoming s₂ :=
p.cfg.mem_predecessors_of_edge h
end Program

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@@ -167,10 +167,10 @@ export GGraph (comp link loop skipto singleton wrap loop_inputs loop_outputs)
end Graph
open Graph in
def buildCfg : Stmt Graph
def Stmt.cfg : Stmt Graph
| .basic bs => singleton [bs]
| .andThen s₁ s₂ => buildCfg s₁ buildCfg s₂
| .ifElse _ s₁ s₂ => buildCfg s₁ buildCfg s₂
| .whileLoop _ s => loop (buildCfg s)
| .andThen s₁ s₂ => s₁.cfg s₂.cfg
| .ifElse _ s₁ s₂ => s₁.cfg s₂.cfg
| .whileLoop _ s => loop s.cfg
end Spa

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@@ -174,8 +174,8 @@ theorem EndToEndTrace.wrap {g : Graph} {ρ₁ ρ₂ : Env}
(etr : EndToEndTrace g ρ₁ ρ₂) : EndToEndTrace (Graph.wrap g) ρ₁ ρ₂ :=
(EndToEndTrace.singleton_nil ρ₁).concat (etr.concat (EndToEndTrace.singleton_nil ρ₂))
theorem buildCfg_sufficient {s : Stmt} {ρ₁ ρ₂ : Env}
(h : EvalStmt ρ₁ s ρ₂) : EndToEndTrace (buildCfg s) ρ₁ ρ₂ := by
theorem Stmt.cfg_sufficient {s : Stmt} {ρ₁ ρ₂ : Env}
(h : EvalStmt ρ₁ s ρ₂) : EndToEndTrace s.cfg ρ₁ ρ₂ := by
induction h with
| basic ρ₁ ρ₂ bs hbs =>
exact EndToEndTrace.singleton (EvalBasicStmts.cons hbs EvalBasicStmts.nil)