❊①❛♠♣❧❡ ( λ. ✵ (( λ. ✵ ) ✵ )[ ǫ ] , ǫ , ✵ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( λ. ✵ (( λ. ✵ ) ✵ )[ ǫ ] , ǫ , ✵ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ (( λ. ✵ ) ✵ )[ ✶ ] , λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ (( λ. ✵ ) ✵ )[ ✶ ] , λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ [ ✶ ] , (( λ. ✵ ) ✵ )[ ✶ ] : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ [ ✶ ] , (( λ. ✵ ) ✵ )[ ✶ ] : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✶ , (( λ. ✵ ) ✵ )[ ✶ ] : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✶ , (( λ. ✵ ) ✵ )[ ✶ ] : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ ✵ , ✶ ⌋ , (( λ. ✵ ) ✵ )[ ✶ ] : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ ✵ , ✶ ⌋ , (( λ. ✵ ) ✵ )[ ✶ ] : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( (( λ. ✵ ) ✵ )[ ✶ ] , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( (( λ. ✵ ) ✵ )[ ✶ ] , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ( λ. ✵ )[ ✶ ] , ✵ [ ✶ ] : ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ( λ. ✵ )[ ✶ ] , ✵ [ ✶ ] : ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ [ ✵ [ ✶ ] : ✶ ] , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ [ ✵ [ ✶ ] : ✶ ] , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ [ ✶ ] , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ [ ✶ ] , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✶ , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ✶ , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ ✵ , ✶ ⌋ , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ ✵ , ✶ ⌋ , ⌊ ✵ , ✶ ⌋ : λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ ✵ ✵ , ✶ ⌋ , λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ ✵ ✵ , ✶ ⌋ , λ λ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ λ. ✵ ✵ , ✶ ⌋ , ǫ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ ( ⌊ λ. ✵ ✵ , ✶ ⌋ , ǫ , ✶ ) ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❊①❛♠♣❧❡ λ. ✵ ✵ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✼ ✴ ✶✺
❬❇✐❡r♥❛❝❦❛ ❛♥❞ ❉❛♥✈②✱ ✷✵✵✼❪ ❊ ❊ ❊ ❊ ♥ ❈❛❧❝✉❧✉s ♦❢ ❈❧♦s✉r❡s ✭ λ � ρ ✮ ❈ λ. ❈ | ❈ · ❈ ::= Λ[ ρ ] | ♥ | ⌊ ♥ ⌋ | λ ǫ | ❈ : ρ ρ ::= ✽ ✴ ✶✺
❊ ❊ ❊ ❊ ♥ ❈❛❧❝✉❧✉s ♦❢ ❈❧♦s✉r❡s ✭ λ � ρ ✮ ❬❈✉r✐❡♥✱ ✶✾✾✶❪ ❈ λ. ❈ | ❈ · ❈ ::= Λ[ ρ ] | ♥ | ⌊ ♥ ⌋ | λ ǫ | ❈ : ρ ρ ::= ✽ ✴ ✶✺
❊ ❊ ❊ ❊ ♥ ❈❛❧❝✉❧✉s ♦❢ ❈❧♦s✉r❡s ✭ λ � ρ ✮ ❬❇✐❡r♥❛❝❦❛ ❛♥❞ ❉❛♥✈②✱ ✷✵✵✼❪ ❈ λ. ❈ | ❈ · ❈ ::= Λ[ ρ ] | ♥ | ⌊ ♥ ⌋ | λ ǫ | ❈ : ρ ρ ::= ✽ ✴ ✶✺
❬❇✐❡r♥❛❝❦❛ ❛♥❞ ❉❛♥✈②✱ ✷✵✵✼❪ ❊ ❊ ❊ ❊ ♥ ❈❛❧❝✉❧✉s ♦❢ ❈❧♦s✉r❡s ✭ λ � ρ ✮ ❈ λ. ❈ | ❈ · ❈ ::= Λ[ ρ ] | ♥ | ⌊ ♥ ⌋ | λ ǫ | ❈ : ρ ρ ::= ✽ ✴ ✶✺
❬❇✐❡r♥❛❝❦❛ ❛♥❞ ❉❛♥✈②✱ ✷✵✵✼❪ ❈❛❧❝✉❧✉s ♦❢ ❈❧♦s✉r❡s ✭ λ � ρ ✮ ❈ λ. ❈ | ❈ · ❈ ::= Λ[ ρ ] | ♥ | ⌊ ♥ ⌋ | λ ǫ | ❈ : ρ ρ ::= ❊ λ. ❊ | ❊ · ❊ ::= ⌊ ♥ ⌋ | λ ✽ ✴ ✶✺
❬❇✐❡r♥❛❝❦❛ ❛♥❞ ❉❛♥✈②✱ ✷✵✵✼❪ ❈❛❧❝✉❧✉s ♦❢ ❈❧♦s✉r❡s ✭ λ � ρ ✮ ❈ λ. ❈ | ❈ · ❈ ::= Λ[ ρ ] | ♥ | ⌊ ♥ ⌋ | λ ǫ | ❈ : ρ ρ ::= ❊ λ. ❊ | ❊ · ❊ ::= ⌊ ♥ ⌋ | λ ( ≃ Λ) ✽ ✴ ✶✺
❊①❛♠♣❧❡ λ. ✵ (( λ. ✵ ) ✵ ) ✾ ✴ ✶✺
❊①❛♠♣❧❡ ( λ. ✵ (( λ. ✵ ) ✵ ))[ ǫ ] ✵ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ✵ (( λ. ✵ ) ✵ )[ ǫ ]) ✵ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ✵ (( λ. ✵ ) ✵ )[ ǫ ]) ✵ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ✵ (( λ. ✵ ) ✵ )[ ǫ ]) ✵ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ✵ (( λ. ✵ ) ✵ )[ ✶ ]) ✵ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ( ✵ ( λ. ✵ ) ✵ )[ ✶ ] λ. ( ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✶ ] · (( λ. ✵ ) ✵ )[ ✶ ] λ. ( ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✶ ] λ. ( · (( λ. ✵ ) ✵ )[ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✶ ] λ. ( · (( λ. ✵ ) ✵ )[ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✶ λ. ( · (( λ. ✵ ) ✵ )[ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ⌊ ✶ − ✶ ⌋ λ. ( · (( λ. ✵ ) ✵ )[ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ⌊ ✵ ⌋ λ. ( · (( λ. ✵ ) ✵ )[ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ (( λ. ✵ ) ✵ )[ ✶ ] λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ( λ. ✵ )[ ✶ ] · ✵ [ ✶ ] λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ( λ. ✵ )[ ✶ ] λ. ( ⌊ ✵ ⌋ · · ✵ [ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ⌊ ✵ ⌋ · λ. ( ✵ [ ✶ ]) · ✵ [ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ⌊ ✵ ⌋ · λ. ( ✵ [ ✶ ]) · ✵ [ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ⌊ ✵ ⌋ · λ. ( ✵ [ ✷ : ✶ ]) · ✵ [ ✶ ]) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ⌊ ✵ ⌋ · λ. ( ✵ [ ✷ : ✶ ]) · ✵ [ ✶ ] ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ λ. ( ⌊ ✵ ⌋ · λ. ( ✵ [ ✷ : ✶ ]) · ✵ [ ✶ ] ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✵ [ ✶ ] : ✶ ] λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✵ [ ✶ ] : ✶ ] λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✶ ] λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✵ [ ✶ ] λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ✶ λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ⌊ ✶ − ✶ ⌋ λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ ⌊ ✵ ⌋ λ. ( ⌊ ✵ ⌋ · ) λ ✶ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ. ( ⌊ ✵ ⌋ · ⌊ ✵ ⌋ ) λ ✾ ✴ ✶✺
❊①❛♠♣❧❡ λ. ✵ ✵ ✾ ✴ ✶✺
◆❋ ❙tr✉❝t✉r❛❧ ❖♣❡r❛t✐♦♥❛❧ ❙❡♠❛♥t✐❝s ✭ λ � ρ ✮ ✭ β ✮ λ. ❇ [ ♥ : ρ ]) · ◆ , ❧ � → � ❇ [ ◆ : ρ ] , ❧ � ♥ < | ρ | � ( λ ✭❱❛r✮ � ♥ [ ρ ] , ❧ � → � ♥ t❤ ( ρ ) , ❧ � ▼ �∈ ❲❍◆❋ ❈ � ▼ , ❧ � → � ▼ ′ , ❧ � ✭ µ ✶✮ � ▼ · ◆ , ❧ � → � ▼ ′ · ◆ , ❧ � ✭❆♣♣✮ � ( ▼ ◆ )[ ρ ] , ❧ � → � ▼ [ ρ ] · ◆ [ ρ ] , ❧ � ▼ ∈ ❲❍◆❋ ❈ ▼ �≡ λ λ. ❇ � ▼ , ❧ � → � ▼ ′ , ❧ � ✭P❛r✮ ✭ µ ✷✮ � ▼ · ◆ , ❧ � → � ▼ ′ · ◆ , ❧ � � ♥ , ❧ � → �⌊ ❧ − ♥ ⌋ , ❧ � ♥ ≥ | ρ | ▼ ∈ ◆❋ ❈ ▼ �≡ λ λ. ❇ � ◆ , ❧ � → � ◆ ′ , ❧ � ✭❋r❡✮ ✭ ν ✮ � ♥ [ ρ ] , ❧ � → �⌊ ♥ − ( | ρ | − ❧ ) ⌋ , ❧ � � ▼ · ◆ , ❧ � → � ▼ · ◆ ′ , ❧ � ✭▲❛♠✮ � ❇ , ❧ + ✶ � → � ❇ ′ , ❧ + ✶ � λ. ❇ [ ❧ + ✶ : ρ ] , ❧ � � ( λ. ❇ )[ ρ ] , ❧ � → � λ ✭ ξ ✮ λ. ❇ , ❧ � → � λ λ. ❇ ′ , ❧ � � λ λ. ❈ | ⌊ ♥ ⌋{· ❈ } ∗ ::= λ ❲❍◆❋ ❈ ::= λ λ. ◆❋ ❈ | ⌊ ♥ ⌋{· ◆❋ ❈ } ∗ ◆❋ ❈ ✶✵ ✴ ✶✺
❙tr✉❝t✉r❛❧ ❖♣❡r❛t✐♦♥❛❧ ❙❡♠❛♥t✐❝s ✭ λ � ρ ✮ ✭ β ✮ λ. ❇ [ ♥ : ρ ]) · ◆ , ❧ � → � ❇ [ ◆ : ρ ] , ❧ � ♥ < | ρ | � ( λ ✭❱❛r✮ � ♥ [ ρ ] , ❧ � → � ♥ t❤ ( ρ ) , ❧ � ▼ �∈ ❲❍◆❋ ❈ � ▼ , ❧ � → � ▼ ′ , ❧ � ✭ µ ✶✮ � ▼ · ◆ , ❧ � → � ▼ ′ · ◆ , ❧ � ✭❆♣♣✮ � ( ▼ ◆ )[ ρ ] , ❧ � → � ▼ [ ρ ] · ◆ [ ρ ] , ❧ � ▼ ∈ ❲❍◆❋ ❈ ▼ �≡ λ λ. ❇ � ▼ , ❧ � → � ▼ ′ , ❧ � ✭P❛r✮ ✭ µ ✷✮ � ▼ · ◆ , ❧ � → � ▼ ′ · ◆ , ❧ � � ♥ , ❧ � → �⌊ ❧ − ♥ ⌋ , ❧ � ♥ ≥ | ρ | ▼ ∈ ◆❋ ❈ ▼ �≡ λ λ. ❇ � ◆ , ❧ � → � ◆ ′ , ❧ � ✭❋r❡✮ ✭ ν ✮ � ♥ [ ρ ] , ❧ � → �⌊ ♥ − ( | ρ | − ❧ ) ⌋ , ❧ � � ▼ · ◆ , ❧ � → � ▼ · ◆ ′ , ❧ � ✭▲❛♠✮ � ❇ , ❧ + ✶ � → � ❇ ′ , ❧ + ✶ � λ. ❇ [ ❧ + ✶ : ρ ] , ❧ � � ( λ. ❇ )[ ρ ] , ❧ � → � λ ✭ ξ ✮ λ. ❇ , ❧ � → � λ λ. ❇ ′ , ❧ � � λ λ. ❈ | ⌊ ♥ ⌋{· ❈ } ∗ ::= λ ❲❍◆❋ ❈ ::= λ λ. ◆❋ ❈ | ⌊ ♥ ⌋{· ◆❋ ❈ } ∗ ( ≃ ◆❋ ) ◆❋ ❈ ✶✵ ✴ ✶✺
◆❛t✉r❛❧ ❙❡♠❛♥t✐❝s ✇✐t❤ ❊①♣❧✐❝✐t ❈♦♥tr♦❧ ✭ λ ∗ ρ ✮ ❝ ::= ♥ | ✇ � ♥ t❤ ( ρ ) , ❧ , ❝ � ⇓ ◆ ♥ < | ρ | ✭❱❛r✮ ✭P❛r✮ � ♥ [ ρ ] , ❧ , ❝ � ⇓ ◆ � ♥ , ❧ , ❝ � ⇓ ⌊ ❧ − ♥ ⌋ ♥ ≥ | ρ | ✭❋r❡✮ � ♥ [ ρ ] , ❧ , ❝ � ⇓ ⌊ ♥ − ( | ρ | − ❧ ) ⌋ ✭▲❛♠✶✮ � ( λ. ❇ )[ ρ ] , ❧ , ✇ � ⇓ ❇ [ ❧ + ✶ : ρ ] � ❇ [ ❧ + ✶ : ρ ] , ❧ + ✶ , ♥ � ⇓ ⌊ ❇ ′ ⌋ ✭▲❛♠✷✮ � ( λ. ❇ )[ ρ ] , ❧ , ♥ � ⇓ ⌊ λ. ❇ ′ ⌋ ▼ ′ ≡ ❇ [ ♥ : ρ ] � ▼ [ ρ ] , ❧ , ✇ � ⇓ ▼ ′ � ❇ [ ◆ [ ρ ] : ρ ] , ❧ , ❝ � ⇓ ❇ ′ ✭❘❡❞✮ � ( ▼ ◆ )[ ρ ] , ❧ , ❝ � ⇓ ❇ ′ ▼ ′ ≡ ⌊ ▼ ′ ⌋ � ▼ [ ρ ] , ❧ , ✇ � ⇓ ▼ ′ � ◆ [ ρ ] , ❧ , ♥ � ⇓ ⌊ ◆ ′ ⌋ ✭◆❡✉✮ � ( ▼ ◆ )[ ρ ] , ❧ , ❝ � ⇓ ⌊ ▼ ′ ◆ ′ ⌋ ✶✶ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ♥ [ ǫ ] , ❙ , ❧ ) → ( ⌊ ♥ + ❧ ⌋ , ❙ , ❧ ) ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ♥ [ ǫ ] , ❙ , ❧ ) → ( ⌊ ♥ + ❧ ⌋ , ❙ , ❧ ) ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ♥ [ ǫ ] , ❙ , ❧ ) → ( ⌊ ♥ + ❧ ⌋ , ❙ , ❧ ) ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ♥ [ ǫ ] , ❙ , ❧ ) → ( ⌊ ♥ + ❧ ⌋ , ❙ , ❧ ) ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❙ ❧ ♥ ❧ ❙ ❧ ♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ λ. ❇ ⌋ , ❙ , ❧ − ✶ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ ⌋ , ❙ , ❧ ) ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ ⌋ , ❙ , ❧ ) ( ⌊ ▼ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ ⌋ : ❙ , ❧ ) ( ⌊ ❇ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ ⌋ , ❙ , ❧ ) ( ⌊ ◆ ⌋ , ⌊ ▼ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ ⌋ , ❙ , ❧ ) ( ⌊ ❚ ⌋ , ǫ , ✵ ) → ❚ ♥ ( λ. ❇ ) ◆ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ , ❧ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ , ❧ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ) ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ , ❧ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ , ❧ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ) ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ , ❧ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ , ❧ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ) ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ , ❧ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ , ❧ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖♣t✐♠✐s❡❞ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ ✭ λ ∗ ρ ✮ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ , ❧ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ , ❧ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ✵ ) → ❚ ✶✷ ✴ ✶✺
♥ ❇ ◆ ❖r✐❣✐♥❛❧ ❋✉❧❧✲❘❡❞✉❝✐♥❣ ❑r✐✈✐♥❡ ▼❛❝❤✐♥❡ λ ρ ❈ ::= Λ[ ρ ] | ♥ | ⌊ Λ , ❧ ⌋ ǫ | ❈ : ρ ::= ρ ❙ ::= ǫ | Λ[ ρ ] : ❙ | λ λ : ❙ | ⌊ Λ , ❧ ⌋ : ❙ ( ❚ [ ǫ ] , ǫ , ✵ ) ❚ → ( ( ♥ + ✶ )[ ❈ : ρ ] , ❙ , ❧ ) → ( ♥ [ ρ ] , ❙ , ❧ ) ( ✵ [ ❈ : ρ ] , ❙ , ❧ ) ( ❈ , ❙ , ❧ ) → ( ( ▼ ◆ )[ ρ ] , ❙ , ❧ ) → ( ▼ [ ρ ] , ◆ [ ρ ] : ❙ , ❧ ) ( ( λ. ❇ )[ ρ ] , ◆ [ ρ ′ ] : ❙ , ❧ ) → ( ❇ [ ◆ [ ρ ′ ] : ρ ] , ❙ , ❧ ) ( ❇ [ ❧ + ✶ : ρ ] , λ λ : ❙ , ❧ + ✶ ) ( ( λ. ❇ )[ ρ ] , ❙ , ❧ ) → ( ♥ , ❙ , ❧ ) → ( ⌊ ❧ − ♥ , ❧ ⌋ , ❙ , ❧ ) ( ◆ [ ρ ] , ⌊ ▼ , ❧ ′ ⌋ : ❙ , ❧ ′ ) ( ⌊ ▼ , ❧ ′ ⌋ , ◆ [ ρ ] : ❙ , ❧ ) → ( ⌊ ❇ , ❧ ′ ⌋ , λ λ : ❙ , ❧ ) → ( ⌊ λ. ❇ , ❧ ′ ⌋ , ❙ , ❧ ) ( ⌊ ◆ , ❧ ′ ⌋ , ⌊ ▼ , ❧ ′′ ⌋ : ❙ , ❧ ) → ( ⌊ ▼ ◆ , ❧ ′′ ⌋ , ❙ , ❧ ) ( ⌊ ❚ , ❧ ′ ⌋ , ǫ , ❧ ) → ❚ ✶✷ ✴ ✶✺
◆❛t✉r❛❧ s❡♠❛♥t✐❝s ✭❜✐❣✲st❡♣✮ ✿ ❝♦♥tr♦❧ ❝❤❛r❛❝t❡r ❞✐st✐♥❣✉✐s❤❡s ❜❡t✇❡❡♥ ✇❡❛❦ ✭ ✇ ✮ ❛♥❞ ❢✉❧❧ ✭ ♥ ✮ ❡✈❛❧✉❛t✐♦♥✳ ❆❜str❛❝t ♠❛❝❤✐♥❡ ✭✜rst✲♦r❞❡r st❛t❡✲tr❛♥s✐t✐♦♥ ❢✉♥❝t✐♦♥✮ ✿ t❤❡ ❞✐st✐♥❝t✐♦♥ ✐s ❞♦♥❡ ❧♦♦❦✐♥❣ ❛t t❤❡ ❝♦♥tr♦❧ st❛❝❦✳ ❙✉♠♠❛r② ◮ ❙tr✉❝t✉r❛❧ ♦♣❡r❛t✐♦♥❛❧ s❡♠❛♥t✐❝s ✭s♠❛❧❧✲st❡♣✮✿ ❡①♣♦s❡s ❡♣❤❡♠❡r❛❧ ❝♦♥str✉❝ts✱ ❞❡❇r✉✐❥♥ ❧❡✈❡❧s r❡♣r❡s❡♥t✐♥❣ ♣❛r❛♠❡t❡rs ✭ ♥ ✮✳ ✶✸ ✴ ✶✺
❆❜str❛❝t ♠❛❝❤✐♥❡ ✭✜rst✲♦r❞❡r st❛t❡✲tr❛♥s✐t✐♦♥ ❢✉♥❝t✐♦♥✮ ✿ t❤❡ ❞✐st✐♥❝t✐♦♥ ✐s ❞♦♥❡ ❧♦♦❦✐♥❣ ❛t t❤❡ ❝♦♥tr♦❧ st❛❝❦✳ ❙✉♠♠❛r② ◮ ❙tr✉❝t✉r❛❧ ♦♣❡r❛t✐♦♥❛❧ s❡♠❛♥t✐❝s ✭s♠❛❧❧✲st❡♣✮✿ ❡①♣♦s❡s ❡♣❤❡♠❡r❛❧ ❝♦♥str✉❝ts✱ ❞❡❇r✉✐❥♥ ❧❡✈❡❧s r❡♣r❡s❡♥t✐♥❣ ♣❛r❛♠❡t❡rs ✭ ♥ ✮✳ ◮ ◆❛t✉r❛❧ s❡♠❛♥t✐❝s ✭❜✐❣✲st❡♣✮ ✿ ❝♦♥tr♦❧ ❝❤❛r❛❝t❡r ❞✐st✐♥❣✉✐s❤❡s ❜❡t✇❡❡♥ ✇❡❛❦ ✭ ✇ ✮ ❛♥❞ ❢✉❧❧ ✭ ♥ ✮ ❡✈❛❧✉❛t✐♦♥✳ ✶✸ ✴ ✶✺
❙✉♠♠❛r② ◮ ❙tr✉❝t✉r❛❧ ♦♣❡r❛t✐♦♥❛❧ s❡♠❛♥t✐❝s ✭s♠❛❧❧✲st❡♣✮✿ ❡①♣♦s❡s ❡♣❤❡♠❡r❛❧ ❝♦♥str✉❝ts✱ ❞❡❇r✉✐❥♥ ❧❡✈❡❧s r❡♣r❡s❡♥t✐♥❣ ♣❛r❛♠❡t❡rs ✭ ♥ ✮✳ ◮ ◆❛t✉r❛❧ s❡♠❛♥t✐❝s ✭❜✐❣✲st❡♣✮ ✿ ❝♦♥tr♦❧ ❝❤❛r❛❝t❡r ❞✐st✐♥❣✉✐s❤❡s ❜❡t✇❡❡♥ ✇❡❛❦ ✭ ✇ ✮ ❛♥❞ ❢✉❧❧ ✭ ♥ ✮ ❡✈❛❧✉❛t✐♦♥✳ ◮ ❆❜str❛❝t ♠❛❝❤✐♥❡ ✭✜rst✲♦r❞❡r st❛t❡✲tr❛♥s✐t✐♦♥ ❢✉♥❝t✐♦♥✮ ✿ t❤❡ ❞✐st✐♥❝t✐♦♥ ✐s ❞♦♥❡ ❧♦♦❦✐♥❣ ❛t t❤❡ ❝♦♥tr♦❧ st❛❝❦✳ ✶✸ ✴ ✶✺
❚❤❛♥❦s✦ ❈❛❧❝✉❧✐ ♦❢ ❈❧♦s✉r❡s ❍✐❡r❛r❝❤② ❈ ::= Λ[ ρ ] λ ρ ❬❈✉r✐❡♥✱ ✶✾✾✶❪ + ♥ + ⌊ Λ ⌋ + ❈ · ❈ ❜❛s❡❞ ♦♥ ❬❇✐❡r♥❛❝❦❛ ❛♥❞ λ ∗ λ � ρ ρ ❬❈ré❣✉t✱ ✷✵✵✼❪ ❉❛♥✈②✱ ✷✵✵✼❪ + ♥ ⌊ Λ ⌋≃⌊ ♥ ⌋ + ⌊ ♥ ⌋ | λ λ. ❈ + λ λ. ❈ | ❈ · ❈ λ � ρ ✶✹ ✴ ✶✺
❈❛❧❝✉❧✐ ♦❢ ❈❧♦s✉r❡s ❍✐❡r❛r❝❤② ❈ ::= Λ[ ρ ] λ ρ ❬❈✉r✐❡♥✱ ✶✾✾✶❪ + ♥ + ⌊ Λ ⌋ + ❈ · ❈ ❜❛s❡❞ ♦♥ ❬❇✐❡r♥❛❝❦❛ ❛♥❞ λ ∗ λ � ρ ρ ❬❈ré❣✉t✱ ✷✵✵✼❪ ❉❛♥✈②✱ ✷✵✵✼❪ + ♥ ⌊ Λ ⌋≃⌊ ♥ ⌋ + ⌊ ♥ ⌋ | λ λ. ❈ ❚❤❛♥❦s✦ + λ λ. ❈ | ❈ · ❈ λ � ρ ✶✹ ✴ ✶✺
Recommend
More recommend