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added examples to README

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William Ball 2024-08-28 13:08:00 -07:00
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README.md
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@ -5,3 +5,29 @@ into a repl where you can type an expression in lambda calculus. Upon parsing
this, you will be put into a new repl, where pressing enter will beta reduce this, you will be put into a new repl, where pressing enter will beta reduce
the current term by one step. You can exit this by typing 'q' and pressing the current term by one step. You can exit this by typing 'q' and pressing
enter. I would recommend using `rlwrap`, as the repls are rather basic. enter. I would recommend using `rlwrap`, as the repls are rather basic.
Here's an example interaction showing each step of the beta reduction.
```
> (lambda x y z. x z (y z)) (lambda x y. x) (lambda x y. x)
(λx y z. x z (y z)) (λx y. x) (λx y. x)
?
(λy z. (λx y. x) z (y z)) (λx y. x)
?
λz. (λx y. x) z ((λx y. x) z)
?
λz. (λy. z) (λy. z)
?
λz. z
? q
```
It will even handle name collisions and automatically alpha-rename.
```
> (lambda x y. x y) (lambda x. y)
(λx y. x y) (λx. y)
?
λz. (λx. y) z
?
λz. y
? q
```