1 files changed, 238 insertions, 0 deletions
diff --git a/Alpha/Logic.scm b/Alpha/Logic.scm
new file mode 100644
index 0000000..e438a03
--- /dev/null
+++ b/Alpha/Logic.scm
@@ -0,0 +1,238 @@
+;; my mini kanren impl - basically untested so far
+
+(define-module (Alpha Logic))
+
+(define-syntax λg
+  (syntax-rules ()
+    ((_ (s) e) (lambda (s) e))))
+
+(define-syntax λf
+  (syntax-rules ()
+    ((_ () e) (lambda () e))))
+
+(define (unify u v s)
+  (let ([u (walk u s)]
+        [v (walk v s)])
+    (cond
+     [(eq? u u) s]
+
+     [(var? u)
+      (cond
+       [(var? v) (ext-s-check u v s)]
+       [else (ext-s-check u v s)])]
+
+     [(and (pair? u) (pair? v))
+      (let ([s (unify (car u) (car v) s)])
+        (and s (unify (cdr u) (cdr v) s)))]
+
+     [(equal? u v) s]
+
+     [else #f])))
+
+(define-syntax if-not
+  (syntax-rules ()
+    ((_ pred then else)
+     (if (not pred) then else))))
+
+(define (walk v s)
+  (if-not (var? v)
+      v
+    (let ([a (assq v s)])
+      (if a
+          (walk (cdr a) s)
+          v))))
+
+(define (ext-s-check x v s)
+  (if-not (occurs-check x v s)
+      (ext-s x v s)
+    #f))
+
+(define (occurs-check x v s)
+  (let ([v (walk v s)])
+    (cond
+     [(var? v) (eq? v x)]
+     [(pair? v)
+      (or (occurs-check x (car v) s)
+          (occurs-check x (cdr v) s))]
+     [else #f])))
+
+(define (ext-s x v s)
+  (cons `(,x . ,v) s))
+
+(define empty-s '())
+
+(define var vector)
+(define var? vector?)
+
+(define reify
+  (letrec ([reify-s (lambda [v s]
+                      (let ([v (walk v s)])
+                        (cond
+                         [(var? v) (ext-s v (reify-name (length s)) s)]
+                         [(pair? v) (reify-s (cdr v) (reify-s (car v) s))]
+                         [else s])))])
+    (lambda [v s]
+      (let ([v (walk* v s)])
+        (walk* v (reify-s v empty-s))))))
+
+(define walk*
+  (lambda [w s]
+    (let ([v (walk w s)])
+      (cond
+       [(var? v) v]
+       [(pair? v) (cons (walk* (car v) s)
+                        (walk* (cdr v) s))]
+       [else v]))))
+
+(define reify-name
+  (lambda [n]
+    (string->symbol
+     (string-append "_" "." (number->string n)))))
+
+(define-syntax mzero
+  (syntax-rules ()
+    ((_) #f)))
+
+(define-syntax unit
+  (syntax-rules ()
+    ((_ a) a)))
+
+(define-syntax choice
+  (syntax-rules ()
+    ((_ a f) (cons a f))))
+
+(define-syntax inc
+  (syntax-rules ()
+    ((_ e) (λf () e))))
+
+(define-syntax case-inf
+  (syntax-rules ()
+    ((_ e on-zero
+        [(a^) on-one]
+        [(a f) on-choice]
+        [(f^) on-inc])
+     (let ([a-inf e])
+       (cond
+        ;; a-inf = #f
+        [(not a-inf) on-zero]
+        ;; a-inf = lambda
+        [(procedure? a-inf) (let ((f^ a-inf)) on-inc)]
+        ;; a-inf = (x . lambda)
+        [(and (pair? a-inf) (procedure? (cdr a-inf)))
+         (let ([a (car a-inf)]
+               [f (cdr a-inf)])
+           on-choice)]
+        [else (let ((a^ a-inf)) on-one)])))))
+
+(define-syntax ==
+  (syntax-rules ()
+    ((_ u v)
+     (λg (s) (unify u v s)))))
+
+(define-syntax conde
+  (syntax-rules ()
+    ((_ (g0 g ...) (g1 g^ ...) ...)
+     (λg (s)
+         (inc (mplus*
+               (bind* (g0 s) g ...)
+               (bind* (g1 s) g^ ...) ...))))))
+
+(define-syntax mplus*
+  (syntax-rules ()
+    ((_ e) e)
+    ((_ e0 e ...) (mplus e0 (λf () (mplus* e ...))))))
+
+(define mplus
+  (lambda (a-inf f)
+    (case-inf a-inf (f)
+              ((a) (choice a f))
+              ((a f^) (choice a (λf () (mplus (f) f^))))
+              ((f^) (inc (mplus (f) f^))))))
+
+(define-syntax fresh
+  (syntax-rules ()
+    ((_ (x ...) g0 g ...)
+     (λg (s)
+         (let ((x (var 'x)) ...)
+           (bind* (g0 s) g ...))))))
+
+(define-syntax bind*
+  (syntax-rules ()
+    ((_ e) e)
+    ((_ e g0 g ...)
+     (let ((a-inf e))
+       (and a-inf (bind* (bind a-inf g0) g ...))))))
+
+(define bind
+  (lambda (a-inf g)
+    (case-inf a-inf (mzero)
+              ((a) (g a))
+              ((a f) (mplus (g a) (λf () (bind (f) g))))
+              ((f) (inc (bind (f) g))))))
+
+(define-syntax run
+  (syntax-rules ()
+    ((_ n (x) g0 g^ ...)
+     (take n
+           (λf
+            ()
+            (let ((g (fresh
+                      (x)
+                      (λg
+                       (s)
+                       (bind* (g0 s) g^ ...
+                              (λg (s)
+                                  (list (reify x s))))))))
+              (g empty-s)))))))
+
+(define-syntax run*
+  (syntax-rules ()
+    ((_ (x) g ...) (run #f (x) g ...))))
+
+(define take
+  (lambda (n f)
+    (if (and n (zero? n))
+        '()
+        (case-inf (f) '()
+         [(a) a]
+         [(a f) (cons (car a) (take (and n (- n 1)) f))]
+         [(f) (take n f)]))))
+
+(define-syntax conda
+  (syntax-rules ()
+    ((_ (g0 g ...) (g1 g^ ...) ...)
+     (λg (s)
+         (if* (picka (g0 s) g ...) (picka (g1 s) g^ ...) ...)))))
+
+(define-syntax condu
+  (syntax-rules ()
+    ((_ (g0 g ...) (g1 g^ ...) ...)
+     (λg (s)
+         (if* (picku (g0 s) g ...)
+              (picku (g1 s) g^ ...)
+              ...)))))
+
+(define-syntax if*
+  (syntax-rules ()
+    ((_) (mzero))
+    ((_ (pick e g ...) b ...)
+     (let loop ((a-inf e))
+       (case-inf a-inf (if* b ...)
+                 [(a) (bind* a-inf g ...)]
+                 [(a f) (bind* (pick a a-inf) g ...)]
+                 [(f) (inc (loop (f)))])))))
+
+(define-syntax picka
+  (syntax-rules ()
+    ((_ a a-inf) a-inf)))
+
+(define-syntax picku
+  (syntax-rules ()
+    ((_ a a-inf) (unit a))))
+
+(define-syntax project
+  (syntax-rules ()
+    ((_ (x ...) g0 g ...)
+     (λg (s)
+         (let ((x (walk* x s)) ...)
+           (bind* (g0 s) g ...))))))