Inter freq acc freq acc
Cslib.Automata.NA.Buchi.inter_freq_acc_freq_acc
Plain-language statement
If the intersection automaton sees one accepting condition infinitely many times, then it sees the other accepting condition infinitely many times as well.
Exact Lean statement
lemma inter_freq_acc_freq_acc {xs : ωSequence Symbol} {ss : ωSequence ((Π i, State i) × Bool)}
{i : Bool} (h_run : (interNA na acc).Run xs ss) (h_inf : ∃ᶠ k in atTop, ss k ∈ interAcc i acc) :
∃ᶠ k in atTop, ss k ∈ interAcc (!i) accFormal artifact
Lean source
lemma inter_freq_acc_freq_acc {xs : ωSequence Symbol} {ss : ωSequence ((Π i, State i) × Bool)} {i : Bool} (h_run : (interNA na acc).Run xs ss) (h_inf : ∃ᶠ k in atTop, ss k ∈ interAcc i acc) : ∃ᶠ k in atTop, ss k ∈ interAcc (!i) acc := by have (k : ℕ) := (h_run.trans k).right apply frequently_leadsTo_frequently h_inf apply leadsTo_trans (q := {s | s.snd = !i}) · apply step_leadsTo grind · apply until_frequently_not_leadsTo · grind · apply Frequently.mono h_inf grind- Project
- Lean Computer Science Library
- License
- Apache-2.0
- Commit
- f36649cff2c9
- Source
- Cslib/Computability/Automata/NA/BuchiInter.lean:66-77
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Person-level attribution pending.
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Source project: Lean Computer Science Library
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Plain-language statement
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Person-level attribution pending.