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<!DOCTYPE html>
<html>
<head>
<link rel="stylesheet" href="resources/codemirror.css">
<script src="resources/codemirror.js"></script>
<script src="resources/matchbrackets.js"></script>
<script src="resources/closebrackets.js"></script>
<script src="resources/scheme.js"></script>
<link rel="stylesheet" href="veneer.css"></style>
<script type="text/javascript" src="immutable.min.js"></script>
<script type="text/javascript" src="base.js"></script>
<script type="text/javascript" src="mk.js"></script>
<script type="text/javascript" src="eval.js"></script>
<script type="text/javascript" src="reader.js"></script>
<script type="text/javascript" src="veneer.js"></script>
<link rel="stylesheet" href="editor.css"></style>
<script type="text/javascript" src="editor.js"></script>
<title>editor</title>
</head>
<body onload="load_editor()">
<div id="head">
demos:<select id="demo_picker"></select>
saved files:<select id="localstorage_picker"></select>
<button id="new_file">create file</button>
<button id="save_file">save file</button>
<button id="create_link">create link</button>
</div>
<div id="demos">
<div class="demo">
<span class="title">relational interpreter</span>
<textarea class="content">
;; relational scheme interpreter
(define lookupo
(lambda (x env out)
(fresh (y val env^)
(== `((,y . ,val) . ,env^) env)
(symbolo x)
(symbolo y)
(conde
((== x y) (== val out))
((=/= x y) (lookupo x env^ out))))))
(define unboundo
(lambda (x env)
(fresh ()
(symbolo x)
(conde
((== '() env))
((fresh (y v env^)
(== `((,y . ,v) . ,env^) env)
(=/= x y)
(unboundo x env^)))))))
(define eval-expo
(lambda (expr env out)
(fresh ()
(conde
((symbolo expr) ;; variable
(lookupo expr env out))
((== `(quote ,out) expr)
(absento 'closure out)
(unboundo 'quote env))
((fresh (x body) ;; abstraction
(== `(lambda (,x) ,body) expr)
(== `(closure ,x ,body ,env) out)
(symbolo x)
(unboundo 'lambda env)))
((fresh (expr*)
(== `(list . ,expr*) expr)
(unboundo 'list env)
(eval-exp*o expr* env out)))
((fresh (e1 e2 val x body env^) ;; application
(== `(,e1 ,e2) expr)
(eval-expo e1 env `(closure ,x ,body ,env^))
(eval-expo e2 env val)
(eval-expo body `((,x . ,val) . ,env^) out)))
((fresh (e1 e2 v1 v2)
(== `(cons ,e1 ,e2) expr)
(== `(,v1 . ,v2) out)
(unboundo 'cons env)
(eval-expo e1 env v1)
(eval-expo e2 env v2)))
((fresh (e v2)
(== `(car ,e) expr)
(unboundo 'car env)
(eval-expo e env `(,out . ,v2))))
((fresh (e v1)
(== `(cdr ,e) expr)
(unboundo 'cdr env)
(eval-expo e env `(,v1 . ,out))))
((fresh (e v)
(== `(null? ,e) expr)
(conde
((== '() v) (== #t out))
((=/= '() v) (== #f out)))
(unboundo 'null? env)
(eval-expo e env v)))
((fresh (t c a b)
(== `(if ,t ,c ,a) expr)
(unboundo 'if env)
(eval-expo t env b)
(conde
((== #f b) (eval-expo a env out))
((=/= #f b) (eval-expo c env out)))))))))
(define eval-exp*o
(lambda (expr* env out)
(conde
((== '() expr*) (== '() out))
((fresh (a d res-a res-d)
(== (cons a d) expr*)
(== (cons res-a res-d) out)
(eval-expo a env res-a)
(eval-exp*o d env res-d))))))
;; running append in reverse
(eval-expo `((((lambda (f)
((lambda (x)
(f (x x)))
(lambda (x)
(lambda (y) ((f (x x)) y)))))
(lambda (my-append)
(lambda (l)
(lambda (s)
(if (null? l)
s
(cons (car l) ((my-append (cdr l)) s)))))))
(quote ,x))
(quote ,y)) '() '(a b c d e))
</textarea>
</div>
<div class="demo">
<span class="title">type inference</span>
<textarea class="content">
(define (!-o gamma expr type)
(conde
((symbolo expr)
(lookupo gamma expr type))
((numbero expr)
(== 'int type))
((== #f expr)
(== 'bool type))
((== #t expr)
(== 'bool type))
((fresh (x e T1 T2)
(== `(lambda (,x) ,e) expr)
(== `(,T1 -> ,T2) type)
(symbolo x)
(!-o `((,x : ,T1) . ,gamma) e T2)))
((fresh (f e e^ t-ignore)
(== `(let ((,f ,e)) ,e^) expr)
(symbolo f)
(!-o `((,f poly ,e ,gamma) . ,gamma) e^ type)
(!-o gamma e t-ignore)))
((fresh (e1 e2 T)
(== `(,e1 ,e2) expr)
(!-o gamma e1 `(,T -> ,type))
(!-o gamma e2 T)))
((fresh (e1 e2)
(== `(+ ,e1 ,e2) expr)
(== 'int type)
(!-o gamma e1 'int)
(!-o gamma e2 'int)))
((fresh (e1 e2 T1 T2)
(== `(cons ,e1 ,e2) expr)
(== `(pair ,T1 ,T2) type)
(!-o gamma e1 T1)
(!-o gamma e2 T2)))
((fresh (e1 e2 e3)
(== `(if ,e1 ,e2 ,e3) expr)
(!-o gamma e1 'bool)
(!-o gamma e2 type)
(!-o gamma e3 type)))))
(define (lookupo gamma x t)
(fresh ()
(symbolo x)
(conde
((fresh (e gamma^ _)
(== `((,x poly ,e ,gamma^) . ,_) gamma)
(!-o gamma^ e t)))
((fresh (_)
(== `((,x : ,t) . ,_) gamma)))
((fresh (y _ gamma^)
(== `((,y . ,_) . ,gamma^) gamma)
(=/= x y)
(symbolo y)
(lookupo gamma^ x t))))))
(!-o '() '(let ((f (lambda (x) x))) (f (cons (f 5) (f #t)))) q)
</textarea>
</div>
<div class="demo">
<span class="title">numbers</span>
<textarea class="content">
;; number relations based on "oleg numbers"
(define (appendo x y z)
(conde
((== x '()) (== y z))
((fresh (head xtail ytail ztail)
(== x `(,head . ,xtail))
(== z `(,head . ,ztail))
(appendo xtail y ztail)))))
(define zeroo
(lambda (n)
(== '() n)))
(define poso
(lambda (n)
(fresh (a d)
(== `(,a . ,d) n))))
(define >1o
(lambda (n)
(fresh (a ad dd)
(== `(,a ,ad . ,dd) n))))
(define full-addero
(lambda (b x y r c)
(conde
((== 0 b) (== 0 x) (== 0 y) (== 0 r) (== 0 c))
((== 1 b) (== 0 x) (== 0 y) (== 1 r) (== 0 c))
((== 0 b) (== 1 x) (== 0 y) (== 1 r) (== 0 c))
((== 1 b) (== 1 x) (== 0 y) (== 0 r) (== 1 c))
((== 0 b) (== 0 x) (== 1 y) (== 1 r) (== 0 c))
((== 1 b) (== 0 x) (== 1 y) (== 0 r) (== 1 c))
((== 0 b) (== 1 x) (== 1 y) (== 0 r) (== 1 c))
((== 1 b) (== 1 x) (== 1 y) (== 1 r) (== 1 c)))))
(define addero
(lambda (d n m r)
(conde
((== 0 d) (== '() m) (== n r))
((== 0 d) (== '() n) (== m r)
(poso m))
((== 1 d) (== '() m)
(addero 0 n '(1) r))
((== 1 d) (== '() n) (poso m)
(addero 0 '(1) m r))
((== '(1) n) (== '(1) m)
(fresh (a c)
(== `(,a ,c) r)
(full-addero d 1 1 a c)))
((== '(1) n) (gen-addero d n m r))
((== '(1) m) (>1o n) (>1o r)
(addero d '(1) n r))
((>1o n) (gen-addero d n m r)))))
(define gen-addero
(lambda (d n m r)
(fresh (a b c e x y z)
(== `(,a . ,x) n)
(== `(,b . ,y) m) (poso y)
(== `(,c . ,z) r) (poso z)
(full-addero d a b c e)
(addero e x y z))))
(define pluso
(lambda (n m k)
(addero 0 n m k)))
(define minuso
(lambda (n m k)
(pluso m k n)))
(define *o
(lambda (n m p)
(conde
((== '() n) (== '() p))
((poso n) (== '() m) (== '() p))
((== '(1) n) (poso m) (== m p))
((>1o n) (== '(1) m) (== n p))
((fresh (x z)
(== `(0 . ,x) n) (poso x)
(== `(0 . ,z) p) (poso z)
(>1o m)
(*o x m z)))
((fresh (x y)
(== `(1 . ,x) n) (poso x)
(== `(0 . ,y) m) (poso y)
(*o m n p)))
((fresh (x y)
(== `(1 . ,x) n) (poso x)
(== `(1 . ,y) m) (poso y)
(odd-*o x n m p))))))
(define odd-*o
(lambda (x n m p)
(fresh (q)
(bound-*o q p n m)
(*o x m q)
(pluso `(0 . ,q) m p))))
(define bound-*o
(lambda (q p n m)
(conde
((== '() q) (poso p))
((fresh (a0 a1 a2 a3 x y z)
(== `(,a0 . ,x) q)
(== `(,a1 . ,y) p)
(conde
((== '() n)
(== `(,a2 . ,z) m)
(bound-*o x y z '()))
((== `(,a3 . ,z) n)
(bound-*o x y z m))))))))
(define =lo
(lambda (n m)
(conde
((== '() n) (== '() m))
((== '(1) n) (== '(1) m))
((fresh (a x b y)
(== `(,a . ,x) n) (poso x)
(== `(,b . ,y) m) (poso y)
(=lo x y))))))
(define <lo
(lambda (n m)
(conde
((== '() n) (poso m))
((== '(1) n) (>1o m))
((fresh (a x b y)
(== `(,a . ,x) n) (poso x)
(== `(,b . ,y) m) (poso y)
(<lo x y))))))
(define <=lo
(lambda (n m)
(conde
((=lo n m))
((<lo n m)))))
(define <o
(lambda (n m)
(conde
((<lo n m))
((=lo n m)
(fresh (x)
(poso x)
(pluso n x m))))))
(define <=o
(lambda (n m)
(conde
((== n m))
((<o n m)))))
(define /o
(lambda (n m q r)
(conde
((== r n) (== '() q) (<o n m))
((== '(1) q) (=lo n m) (pluso r m n)
(<o r m))
((<lo m n)
(<o r m)
(poso q)
(fresh (nh nl qh ql qlm qlmr rr rh)
(splito n r nl nh)
(splito q r ql qh)
(conde
((== '() nh)
(== '() qh)
(minuso nl r qlm)
(*o ql m qlm))
((poso nh)
(*o ql m qlm)
(pluso qlm r qlmr)
(minuso qlmr nl rr)
(splito rr r '() rh)
(/o nh m qh rh))))))))
(define splito
(lambda (n r l h)
(conde
((== '() n) (== '() h) (== '() l))
((fresh (b n^)
(== `(0 ,b . ,n^) n)
(== '() r)
(== `(,b . ,n^) h)
(== '() l)))
((fresh (n^)
(== `(1 . ,n^) n)
(== '() r)
(== n^ h)
(== '(1) l)))
((fresh (b n^ a r^)
(== `(0 ,b . ,n^) n)
(== `(,a . ,r^) r)
(== '() l)
(splito `(,b . ,n^) r^ '() h)))
((fresh (n^ a r^)
(== `(1 . ,n^) n)
(== `(,a . ,r^) r)
(== '(1) l)
(splito n^ r^ '() h)))
((fresh (b n^ a r^ l^)
(== `(,b . ,n^) n)
(== `(,a . ,r^) r)
(== `(,b . ,l^) l)
(poso l^)
(splito n^ r^ l^ h))))))
(define logo
(lambda (n b q r)
(conde
((== '(1) n) (poso b) (== '() q) (== '() r))
((== '() q) (<o n b) (pluso r '(1) n))
((== '(1) q) (>1o b) (=lo n b) (pluso r b n))
((== '(1) b) (poso q) (pluso r '(1) n))
((== '() b) (poso q) (== r n))
((== '(0 1) b)
(fresh (a ad dd)
(poso dd)
(== `(,a ,ad . ,dd) n)
(exp2 n '() q)
(fresh (s)
(splito n dd r s))))
((fresh (a ad add ddd)
(conde
((== '(1 1) b))
((== `(,a ,ad ,add . ,ddd) b))))
(<lo b n)
(fresh (bw1 bw nw nw1 ql1 ql s)
(exp2 b '() bw1)
(pluso bw1 '(1) bw)
(<lo q n)
(fresh (q1 bwq1)
(pluso q '(1) q1)
(*o bw q1 bwq1)
(<o nw1 bwq1))
(exp2 n '() nw1)
(pluso nw1 '(1) nw)
(/o nw bw ql1 s)
(pluso ql '(1) ql1)
(<=lo ql q)
(fresh (bql qh s qdh qd)
(repeated-mul b ql bql)
(/o nw bw1 qh s)
(pluso ql qdh qh)
(pluso ql qd q)
(<=o qd qdh)
(fresh (bqd bq1 bq)
(repeated-mul b qd bqd)
(*o bql bqd bq)
(*o b bq bq1)
(pluso bq r n)
(<o n bq1))))))))
(define exp2
(lambda (n b q)
(conde
((== '(1) n) (== '() q))
((>1o n) (== '(1) q)
(fresh (s)
(splito n b s '(1))))
((fresh (q1 b2)
(== `(0 . ,q1) q)
(poso q1)
(<lo b n)
(appendo b `(1 . ,b) b2)
(exp2 n b2 q1)))
((fresh (q1 nh b2 s)
(== `(1 . ,q1) q)
(poso q1)
(poso nh)
(splito n b s nh)
(appendo b `(1 . ,b) b2)
(exp2 nh b2 q1))))))
(define repeated-mul
(lambda (n q nq)
(conde
((poso n) (== '() q) (== '(1) nq))
((== '(1) q) (== n nq))
((>1o q)
(fresh (q1 nq1)
(pluso q1 '(1) q)
(repeated-mul n q1 nq1)
(*o nq1 n nq))))))
(define expo
(lambda (b q n)
(logo n b q '())))
;; factor the number 420 by running multiplication backwards!
(*o x y '(0 0 1 0 0 1 0 1 1))
</textarea>
</div>
<div class="demo">
<span class="title">reasoned schemer prelude</span>
<textarea class="content">
(define caro
(lambda (p a)
(fresh (d)
(== (cons a d) p))))
(define cdro
(lambda (p d)
(fresh (a)
(== (cons a d) p))))
(define conso
(lambda (a d p)
(== (cons a d) p)))
(define nullo
(lambda (x)
(== '() x)))
(define eqo
(lambda (x y)
(== x y)))
(define eq-caro
(lambda (l x)
(caro l x)))
(define pairo
(lambda (p)
(fresh (a d)
(conso a d p))))
(define listo
(lambda (l)
(conde
((nullo l))
((pairo l)
(fresh (d)
(cdro l d)
(listo d))))))
(define membero
(lambda (x l)
(conde
((eq-caro l x))
((fresh (d)
(cdro l d)
(membero x d))))))
(define rembero
(lambda (x l out)
(conde
((nullo l) (== '() out))
((eq-caro l x) (cdro l out))
((fresh (a d res)
(conso a d l)
(rembero x d res)
(conso a res out))))))
(define appendo
(lambda (l s out)
(conde
((nullo l) (== s out))
((fresh (a d res)
(conso a d l)
(conso a res out)
(appendo d s res))))))
(define anyo
(lambda (g)
(conde
(g)
((anyo g)))))
(define fail (== 'war 'peace))
(define succeed (== 'a 'a))
(define nevero (anyo fail))
(define alwayso (anyo succeed))
</textarea>
</div>
<div class="demo">
<span class="title">grammar</span>
<textarea class="content">
;; constructing sentences using relations
(define (conso car cdr c) (== `(,car . ,cdr) c))
(define (membero x l)
(fresh (head tail)
(== l `(,head . ,tail))
(conde
((== x head))
((membero x tail)))))
(define (nouno n) (membero n '(cat bat)))
(define (verbo v) (membero v '(eats)))
(define (deto d) (membero d '(the a)))
;; fixed sentence structure
(define (my-sentenceo s)
(fresh (v n1 d1 n2 d2)
(verbo v)
(nouno n1)
(nouno n2)
(deto d1)
(deto d2)
(== s `(,d1 ,n1 ,v ,d2 ,n2))))
(my-sentenceo x)
;; with parameterized structure
(define (wordo class word)
(conde
((== class 'noun) (nouno word))
((== class 'verb) (verbo word))
((== class 'det) (deto word))))
(define (sentenceo grammar s)
(conde ((== grammar '()) (== s '()))
((fresh (g-head s-head
g-tail s-tail)
(conso g-head g-tail grammar)
(conso s-head s-tail s)
(wordo g-head s-head)
(sentenceo g-tail s-tail)))))
(sentenceo '(det noun verb det noun) s)
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