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minor fixes to Stlc

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Philip Wadler 2017-07-17 16:06:36 +01:00
parent 0432804150
commit 3b62e81c06
2 changed files with 2426 additions and 2432 deletions
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out/Stlc.md
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src/Stlc.lagda
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@ -117,11 +117,11 @@ data Term : Set where
We use the following special characters
⇒ U+21D2: RIGHTWARDS DOUBLE ARROW (\=>)
` U+0060: GRAVE ACCENT
λ U+03BB: GREEK SMALL LETTER LAMBDA (\Gl or \lambda)
∶ U+2236: RATIO (\:)
· U+00B7: MIDDLE DOT (\cdot)
⇒ U+21D2: RIGHTWARDS DOUBLE ARROW (\=>)
` U+0060: GRAVE ACCENT
λ U+03BB: GREEK SMALL LETTER LAMBDA (\Gl or \lambda)
∶ U+2236: RATIO (\:)
· U+00B7: MIDDLE DOT (\cdot)
Note that ∶ (U+2236 RATIO) is not the same as : (U+003A COLON).
Colon is reserved in Agda for declaring types. Everywhere that we
@ -237,18 +237,15 @@ currying. This is made more convenient by declaring `_⇒_` to
associate to the right and `_·_` to associate to the left.
Thus,
> `(𝔹 ⇒ 𝔹) ⇒ 𝔹 ⇒ 𝔹` abbreviates `(𝔹 ⇒ 𝔹) ⇒ (𝔹 ⇒ 𝔹)`,
and similarly,
> `two · not · true` abbreviates `(two · not) · true`.
* `(𝔹 ⇒ 𝔹) ⇒ 𝔹 ⇒ 𝔹` abbreviates `(𝔹 ⇒ 𝔹) ⇒ (𝔹 ⇒ 𝔹)`
* `two · not · true` abbreviates `(two · not) · true`.
We choose the binding strength for abstractions and conditionals
to be weaker than application. For instance,
> `` λ[ f ∶ 𝔹 ⇒ 𝔹 ] λ[ x ∶ 𝔹 ] ` f · (` f · ` x) `` abbreviates
> `` (λ[ f ∶ 𝔹 ⇒ 𝔹 ] (λ[ x ∶ 𝔹 ] (` f · (` f · ` x)))) `` and not
> `` (λ[ f ∶ 𝔹 ⇒ 𝔹 ] (λ[ x ∶ 𝔹 ] ` f)) · (` f · ` x) ``.
* `` λ[ f ∶ 𝔹 ⇒ 𝔹 ] λ[ x ∶ 𝔹 ] ` f · (` f · ` x) `` abbreviates
`` (λ[ f ∶ 𝔹 ⇒ 𝔹 ] (λ[ x ∶ 𝔹 ] (` f · (` f · ` x)))) `` and not
`` (λ[ f ∶ 𝔹 ⇒ 𝔹 ] (λ[ x ∶ 𝔹 ] ` f)) · (` f · ` x) ``.
\begin{code}
ex₁ : (𝔹 ⇒ 𝔹) ⇒ 𝔹 ⇒ 𝔹 ≡ (𝔹 ⇒ 𝔹) ⇒ (𝔹 ⇒ 𝔹)
@ -530,9 +527,9 @@ data _⟹_ : Term → Term → Set where
We use the following special characters
⟹ U+27F9: LONG RIGHTWARDS DOUBLE ARROW (\r6)
ξ U+03BE: GREEK SMALL LETTER XI (\Gx or \xi)
β U+03B2: GREEK SMALL LETTER BETA (\Gb or \beta)
⟹ U+27F9: LONG RIGHTWARDS DOUBLE ARROW (\r6)
ξ U+03BE: GREEK SMALL LETTER XI (\Gx or \xi)
β U+03B2: GREEK SMALL LETTER BETA (\Gb or \beta)
#### Quiz