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1 module lang-text where
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2
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3 open import Data.List
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4 open import Data.String
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5 open import Data.Char
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6 open import Data.Char.Unsafe
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7 open import Relation.Binary.PropositionalEquality
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8 open import Relation.Nullary
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9 open import logic
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10
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11 split : {Σ : Set} → (List Σ → Bool)
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12 → ( List Σ → Bool) → List Σ → Bool
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13 split x y [] = x [] /\ y []
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14 split x y (h ∷ t) = (x [] /\ y (h ∷ t)) \/
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15 split (λ t1 → x ( h ∷ t1 )) (λ t2 → y t2 ) t
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16
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17 contains : String → String → Bool
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18 contains x y = contains1 (toList x ) ( toList y ) where
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19 contains1 : List Char → List Char → Bool
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20 contains1 [] [] = false
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21 contains1 [] ( cx ∷ ly ) = false
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22 contains1 (cx ∷ lx) [] = true
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23 contains1 (cx ∷ lx ) ( cy ∷ ly ) with cx ≟ cy
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24 ... | yes refl = contains1 lx ly
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25 ... | no n = false
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26
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27 -- w does not contain the substring ab
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28 ex15a : Set
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29 ex15a = (w : String ) → ¬ (contains w "ab" ≡ true )
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30
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31 -- w does not contains substring baba
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32 ex15b : Set
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33 ex15b = (w : String ) → ¬ (contains w "baba" ≡ true )
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34
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35 -- w contains neither the substing ab nor ba
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36 ex15c : Set
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37
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38 -- w is any string not in a*b*
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39 ex15c = (w : String ) → ( ¬ (contains w "ab" ≡ true ) /\ ( ¬ (contains w "ba" ≡ true )
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40
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41 ex15d : {!!}
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42 ex15d = {!!}
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43
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44 ex15e : {!!}
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45 ex15e = {!!}
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46
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47 ex15f : {!!}
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48 ex15f = {!!}
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49
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50 ex15g : {!!}
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51 ex15g = {!!}
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52
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53 ex15h : {!!}
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54 ex15h = {!!}
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