Aspect in Ancient Greek - Nijmegen Centre for Semantics

A.9 Example 187(211) a. λQ[tTT ≺ n ⊕Q(t TT)]RWR1=⇒b. λQ[ ≺ {tTT ,n} ⊕Q(t TT)]ABB4=⇒c. λQλiλj∃k[ ≺ {tTT ,n} (i)(k) ∧Q(t TT)(k)(j)]ABB3=⇒d. λQλiλj∃k[λiλj[i⌊⌋j ∧ ≺ {t TT ,n}(j)](i)(k) ∧Q(t TT )(k)(j)]ABB1=⇒e. λQλiλj∃k[λiλj[i⌊⌋j ∧ λi ≺ (w(t TT )(i))(w(n)(i))(j)](i)(k)∧ Q(t TT )(k)(j)]λ=⇒f. λQλiλj∃k[λiλj[i⌊⌋j ∧ ≺ (w(t TT )(j))(w(n)(j))](i)(k)∧ Q(t TT )(k)(j)]λ=⇒g. λQλiλj∃k[λj[i⌊⌋j ∧ ≺ (w(t TT )(j))(w(n)(j))](k) ∧Q(t TT )(k)(j)]h. λQλiλj∃k[[i⌊⌋k ∧ ≺ (w(t TT )(k))(w(n)(k))] ∧Q(t TT )(k)(j)]λ=⇒Let’s now do (209):(212) a. λPλt[b. λPλt[e t ′e τ t ′t ′ ·⊃ te t ′τ{e,t ′ }·⊃ {t ′ ,t}c. λPλt[λiλj∃k[⊕P(e)]⊕P(e)]e t ′τ{e,t ′ }·⊃ {t ′ ,t}(i)(k) ∧P(e)(k)(j)]]RWR1=⇒ABB4=⇒ABB3=⇒d. λPλt[λiλj∃k[λiλj[i⌊e t ′ ⌋j ∧ τ{e,t ′ }(j) ∧ ·⊃ {t ′ ,t}(j)](i)(k)∧P(e)(k)(j)]]e. λPλt[λiλj∃k[λiλj[i⌊e t ′ ⌋j ∧ λiτ(w(e)(i))(w(t ′ )(i))(j)∧ ·⊃ (w(t ′ )(i))(w(t)(i))(j)](i)(k) ∧P(e)(k)(j)]]ABB1=⇒λ=⇒