Move the MD files into the reference dir.

docs/reference/AMPERSAND.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# &
+
+Basis Function Combinator
+
+Same as a & b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/AMPERSAND•AMPERSAND.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# &&
+
+Basis Function Combinator
+
+nulco \[nullary \[false\]\] dip branch
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/ASTERISK.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \*
+
+Basis Function Combinator
+
+Same as a \* b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/BULLET.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# •
+
+Basis Function Combinator
+
+The identity function.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/CIRCUMFLEX-ACCENT.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \^
+
+Basis Function Combinator
+
+Same as a \^ b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/EQUALS-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# =
+
+Basis Function Combinator
+
+Same as a == b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/EXCLAMATION-MARK•EQUALS-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# !=
+
+Basis Function Combinator
+
+Same as a != b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/EXCLAMATION-MARK•HYPHEN-MINUS.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+!-\^\^\^\^
+
+Basis Function Combinator
+
+0 \>=
+
+Gentzen diagram.
+
+# Definition
+
+if not basis.
+
+# Derivation
+
+if not basis.
+
+# Source
+
+if basis
+
+# Discussion
+
+# Crosslinks

docs/reference/GREATER-THAN-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \>
+
+Basis Function Combinator
+
+Same as a \> b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/GREATER-THAN-SIGN•EQUALS-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \>=
+
+Basis Function Combinator
+
+Same as a \>= b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/GREATER-THAN-SIGN•GREATER-THAN-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \>\>
+
+Basis Function Combinator
+
+Same as a \>\> b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/HYPHEN-MINUS.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+-\^\^\^
+
+Basis Function Combinator
+
+Same as a - b.
+
+Gentzen diagram.
+
+# Definition
+
+if not basis.
+
+# Derivation
+
+if not basis.
+
+# Source
+
+if basis
+
+# Discussion
+
+# Crosslinks

docs/reference/HYPHEN-MINUS•HYPHEN-MINUS.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+\--\^\^\^\^
+
+Basis Function Combinator
+
+Decrement TOS.
+
+Gentzen diagram.
+
+# Definition
+
+if not basis.
+
+# Derivation
+
+if not basis.
+
+# Source
+
+if basis
+
+# Discussion
+
+# Crosslinks

docs/reference/LESS-THAN-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \<
+
+Basis Function Combinator
+
+Same as a \< b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/LESS-THAN-SIGN•EQUALS-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \<=
+
+Basis Function Combinator
+
+Same as a \<= b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/LESS-THAN-SIGN•GREATER-THAN-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \<\>
+
+Basis Function Combinator
+
+Same as a != b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/LESS-THAN-SIGN•LEFT-CURLY-BRACKET•RIGHT-CURLY-BRACKET.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \<{}
+
+Basis Function Combinator
+
+\[\] swap
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/LESS-THAN-SIGN•LESS-THAN-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \<\<
+
+Basis Function Combinator
+
+Same as a \<\< b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/LESS-THAN-SIGN•LESS-THAN-SIGN•LEFT-CURLY-BRACKET•RIGHT-CURLY-BRACKET.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \<\<{}
+
+Basis Function Combinator
+
+\[\] rollup
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/PERCENT-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# %
+
+Basis Function Combinator
+
+Same as a % b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/PLUS-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# +
+
+Basis Function Combinator
+
+Same as a + b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/PLUS-SIGN•PLUS-SIGN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# ++
+
+Basis Function Combinator
+
+Increment TOS.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/QUESTION-MARK.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# ?
+
+Basis Function Combinator
+
+dup bool
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/SOLIDUS.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# /
+
+Basis Function Combinator
+
+Same as a // b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/SOLIDUS•SOLIDUS.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# //
+
+Basis Function Combinator
+
+Same as a // b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/SOLIDUS•floor.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# /floor
+
+Basis Function Combinator
+
+Same as a // b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/VERTICAL-LINE•VERTICAL-LINE.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# \|\|
+
+Basis Function Combinator
+
+nulco \[nullary\] dip \[true\] branch
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/abs.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# abs
+
+Basis Function Combinator
+
+Return the absolute value of the argument.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/add.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# add
+
+Basis Function Combinator
+
+Same as a + b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/anamorphism.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# anamorphism
+
+Basis Function Combinator
+
+\[pop \[\]\] swap \[dip swons\] genrec
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/and.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# and
+
+Basis Function Combinator
+
+Same as a & b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/app2.md

@@ -0,0 +1,30 @@
+------------------------------------------------------------------------
+
+# app2
+
+Basis Function Combinator
+
+Like app1 with two items.
+
+:   ... y x [Q] . app2
+        -----------------------------------
+        ... [y ...] [Q] . infra first
+        [x ...] [Q]   infra first
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/app3.md

@@ -0,0 +1,31 @@
+------------------------------------------------------------------------
+
+# app3
+
+Basis Function Combinator
+
+Like app1 with three items.
+
+:   ... z y x [Q] . app3
+        -----------------------------------
+        ... [z ...] [Q] . infra first
+          [y ...] [Q]   infra first
+          [x ...] [Q]   infra first
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/appN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# appN
+
+Basis Function Combinator
+
+\[grabN\] codi map disenstacken
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/at.md

@@ -0,0 +1,32 @@
+------------------------------------------------------------------------
+
+# at
+
+Basis Function Combinator
+
+    getitem == drop first
+
+Expects an integer and a quote on the stack and returns the item at the
+nth position in the quote counting from 0. :
+
+    [a b c d] 0 getitem
+    -------------------------
+     a
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/average.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# average
+
+Basis Function Combinator
+
+\[sum\] \[size\] cleave /
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/bool.md

@@ -0,0 +1,29 @@
+------------------------------------------------------------------------
+
+# bool
+
+Basis Function Combinator
+
+bool(x) -\> bool
+
+Returns True when the argument x is true, False otherwise. The builtins
+True and False are the only two instances of the class bool. The class
+bool is a subclass of the class int, and cannot be subclassed.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/branch.md

@@ -0,0 +1,35 @@
+------------------------------------------------------------------------
+
+# branch
+
+Basis Function Combinator
+
+Use a Boolean value to select one of two quoted programs to run.
+
+    branch == roll< choice i
+
+    False [F] [T] branch
+    --------------------------
+       F
+
+    True [F] [T] branch
+    -------------------------
+          T
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/ccccons.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# ccccons
+
+Basis Function Combinator
+
+ccons ccons
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/choice.md

@@ -0,0 +1,38 @@
+------------------------------------------------------------------------
+
+# choice
+
+Basis Function Combinator
+
+Use a Boolean value to select one of two items. :
+
+    A B false choice
+    ----------------------
+    A
+
+
+    A B true choice
+    ---------------------
+      B
+
+Currently Python semantics are used to evaluate the \"truthiness\" of
+the Boolean value (so empty string, zero, etc. are counted as false,
+etc.)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/clear.md

@@ -0,0 +1,30 @@
+------------------------------------------------------------------------
+
+# clear
+
+Basis Function Combinator
+
+Clear everything from the stack.
+
+:   clear == stack [pop stack] loop
+
+           ... clear
+        ---------------
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/cleave.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# cleave
+
+Basis Function Combinator
+
+fork popdd
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/clop.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# clop
+
+Basis Function Combinator
+
+cleave popdd
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/cmp.md

@@ -0,0 +1,38 @@
+------------------------------------------------------------------------
+
+# cmp
+
+Basis Function Combinator
+
+cmp takes two values and three quoted programs on the stack and runs one
+of the three depending on the results of comparing the two values: :
+
+    a b [G] [E] [L] cmp
+    ------------------------- a > b
+     G
+
+    a b [G] [E] [L] cmp
+    ------------------------- a = b
+         E
+
+    a b [G] [E] [L] cmp
+    ------------------------- a < b
+         L
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/codi.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# codi
+
+Basis Function Combinator
+
+cons dip
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/codireco.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# codireco
+
+Basis Function Combinator
+
+codi reco
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/concat.md

@@ -0,0 +1,29 @@
+------------------------------------------------------------------------
+
+# concat
+
+Basis Function Combinator
+
+Concatinate the two lists on the top of the stack. :
+
+    [a b c] [d e f] concat
+    ----------------------------
+        [a b c d e f]
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/cond.md

@@ -0,0 +1,36 @@
+------------------------------------------------------------------------
+
+# cond
+
+Basis Function Combinator
+
+This combinator works like a case statement. It expects a single quote
+on the stack that must contain zero or more condition quotes and a
+default quote. Each condition clause should contain a quoted predicate
+followed by the function expression to run if that predicate returns
+true. If no predicates return true the default function runs.
+
+It works by rewriting into a chain of nested [ifte]{.title-ref}
+expressions, e.g.:
+
+    [[[B0] T0] [[B1] T1] [D]] cond
+    -----------------------------------------
+    [B0] [T0] [[B1] [T1] [D] ifte] ifte
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dinfrirst.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# dinfrirst
+
+Basis Function Combinator
+
+dip infrst
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dip.md

@@ -0,0 +1,31 @@
+------------------------------------------------------------------------
+
+# dip
+
+Basis Function Combinator
+
+The dip combinator expects a quoted program on the stack and below it
+some item, it hoists the item into the expression and runs the program
+on the rest of the stack. :
+
+    ... x [Q] dip
+    -------------------
+      ... Q x
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dipd.md

@@ -0,0 +1,29 @@
+------------------------------------------------------------------------
+
+# dipd
+
+Basis Function Combinator
+
+Like dip but expects two items. :
+
+    ... y x [Q] dip
+    ---------------------
+      ... Q y x
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dipdd.md

@@ -0,0 +1,29 @@
+------------------------------------------------------------------------
+
+# dipdd
+
+Basis Function Combinator
+
+Like dip but expects three items. :
+
+    ... z y x [Q] dip
+    -----------------------
+      ... Q z y x
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/disenstacken.md

@@ -0,0 +1,26 @@
+------------------------------------------------------------------------
+
+# disenstacken
+
+Basis Function Combinator
+
+The disenstacken operator expects a list on top of the stack and makes
+that the stack discarding the rest of the stack.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/div.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# div
+
+Basis Function Combinator
+
+Same as a // b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/divmod.md

@@ -0,0 +1,27 @@
+------------------------------------------------------------------------
+
+# divmod
+
+Basis Function Combinator
+
+divmod(x, y) -\> (quotient, remainder)
+
+Return the tuple (x//y, x%y). Invariant: q \* y + r == x.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/down_to_zero.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# down_to_zero
+
+Basis Function Combinator
+
+\[0 \>\] \[dup \--\] while
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/drop.md

@@ -0,0 +1,32 @@
+------------------------------------------------------------------------
+
+# drop
+
+Basis Function Combinator
+
+    drop == [rest] times
+
+Expects an integer and a quote on the stack and returns the quote with n
+items removed off the top. :
+
+    [a b c d] 2 drop
+    ----------------------
+        [c d]
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dup.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# dup
+
+Basis Function Combinator
+
+    (a1 -- a1 a1)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dupd.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# dupd
+
+Basis Function Combinator
+
+    (a2 a1 -- a2 a2 a1)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dupdd.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# dupdd
+
+Basis Function Combinator
+
+    (a3 a2 a1 -- a3 a3 a2 a1)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dupdip.md

@@ -0,0 +1,30 @@
+------------------------------------------------------------------------
+
+# dupdip
+
+Basis Function Combinator
+
+    [F] dupdip == dup [F] dip
+
+    ... a [F] dupdip
+    ... a dup [F] dip
+    ... a a   [F] dip
+    ... a F a
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/dupdipd.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# dupdipd
+
+Basis Function Combinator
+
+dup dipd
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/enstacken.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# enstacken
+
+Basis Function Combinator
+
+stack \[clear\] dip
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/eq.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# eq
+
+Basis Function Combinator
+
+Same as a == b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/first.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# first
+
+Basis Function Combinator
+
+    ([a1 ...1] -- a1)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/first_two.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# first_two
+
+Basis Function Combinator
+
+    ([a1 a2 ...1] -- a1 a2)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/flatten.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# flatten
+
+Basis Function Combinator
+
+\<{} \[concat\] step
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/floor.md

@@ -0,0 +1,27 @@
+------------------------------------------------------------------------
+
+# floor
+
+Basis Function Combinator
+
+Return the floor of x as an Integral.
+
+This is the largest integer \<= x.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/floordiv.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# floordiv
+
+Basis Function Combinator
+
+Same as a // b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/fork.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# fork
+
+Basis Function Combinator
+
+\[i\] app2
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/fourth.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# fourth
+
+Basis Function Combinator
+
+    ([a1 a2 a3 a4 ...1] -- a4)
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/gcd.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# gcd
+
+Basis Function Combinator
+
+true \[tuck mod dup 0 \>\] loop pop
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/gcd2.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# gcd2
+
+Basis Function Combinator
+
+Compiled GCD function.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/ge.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# ge
+
+Basis Function Combinator
+
+Same as a \>= b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/genrec.md

@@ -0,0 +1,67 @@
+------------------------------------------------------------------------
+
+# genrec
+
+Basis Function Combinator
+
+General Recursion Combinator. :
+
+    [if] [then] [rec1] [rec2] genrec
+    ---------------------------------------------------------------------
+    [if] [then] [rec1 [[if] [then] [rec1] [rec2] genrec] rec2] ifte
+
+From \"Recursion Theory and Joy\" (j05cmp.html) by Manfred von Thun:
+\"The genrec combinator takes four program parameters in addition to
+whatever data parameters it needs. Fourth from the top is an if-part,
+followed by a then-part. If the if-part yields true, then the then-part
+is executed and the combinator terminates. The other two parameters are
+the rec1-part and the rec2-part. If the if-part yields false, the
+rec1-part is executed. Following that the four program parameters and
+the combinator are again pushed onto the stack bundled up in a quoted
+form. Then the rec2-part is executed, where it will find the bundled
+form. Typically it will then execute the bundled form, either with i or
+with app2, or some other combinator.\"
+
+The way to design one of these is to fix your base case \[then\] and the
+test \[if\], and then treat rec1 and rec2 as an else-part
+\"sandwiching\" a quotation of the whole function.
+
+For example, given a (general recursive) function \'F\': :
+
+    F == [I] [T] [R1] [R2] genrec
+
+If the \[I\] if-part fails you must derive R1 and R2 from: :
+
+    ... R1 [F] R2
+
+Just set the stack arguments in front, and figure out what R1 and R2
+have to do to apply the quoted \[F\] in the proper way. In effect, the
+genrec combinator turns into an ifte combinator with a quoted copy of
+the original definition in the else-part: :
+
+    F == [I] [T] [R1]   [R2] genrec
+      == [I] [T] [R1 [F] R2] ifte
+
+Primitive recursive functions are those where R2 == i. :
+
+    P == [I] [T] [R] tailrec
+      == [I] [T] [R [P] i] ifte
+      == [I] [T] [R P] ifte
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/getitem.md

@@ -0,0 +1,32 @@
+------------------------------------------------------------------------
+
+# getitem
+
+Basis Function Combinator
+
+    getitem == drop first
+
+Expects an integer and a quote on the stack and returns the item at the
+nth position in the quote counting from 0. :
+
+    [a b c d] 0 getitem
+    -------------------------
+     a
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/grabN.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# grabN
+
+Basis Function Combinator
+
+\<{} \[cons\] times
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/grba.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# grba
+
+Basis Function Combinator
+
+\[stack popd\] dip
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/gt.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# gt
+
+Basis Function Combinator
+
+Same as a \> b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/help.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# help
+
+Basis Function Combinator
+
+Accepts a quoted symbol on the top of the stack and prints its docs.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/hypot.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# hypot
+
+Basis Function Combinator
+
+\[sqr\] ii + sqrt
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/id.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# id
+
+Basis Function Combinator
+
+The identity function.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/ifte.md

@@ -0,0 +1,39 @@
+------------------------------------------------------------------------
+
+# ifte
+
+Basis Function Combinator
+
+If-Then-Else Combinator :
+
+    ... [if] [then] [else] ifte
+    ---------------------------------------------------
+    ... [[else] [then]] [...] [if] infra select i
+
+
+
+
+    ... [if] [then] [else] ifte
+    -------------------------------------------------------
+    ... [else] [then] [...] [if] infra first choice i
+
+Has the effect of grabbing a copy of the stack on which to run the
+if-part using infra.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/ii.md

@@ -0,0 +1,27 @@
+------------------------------------------------------------------------
+
+# ii
+
+Basis Function Combinator
+
+    ... a [Q] ii
+    ------------------
+     ... Q a Q
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/infrst.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# infrst
+
+Basis Function Combinator
+
+infra first
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/inscribe.md

@@ -0,0 +1,29 @@
+------------------------------------------------------------------------
+
+# inscribe
+
+Basis Function Combinator
+
+Create a new Joy function definition in the Joy dictionary. A definition
+is given as a quote with a name followed by a Joy expression. for
+example:
+
+> \[sqr dup mul\] inscribe
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/le.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# le
+
+Basis Function Combinator
+
+Same as a \<= b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/loop.md

@@ -0,0 +1,33 @@
+------------------------------------------------------------------------
+
+# loop
+
+Basis Function Combinator
+
+Basic loop combinator. :
+
+    ... True [Q] loop
+    -----------------------
+       ... Q [Q] loop
+
+    ... False [Q] loop
+    ------------------------
+       ...
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/lshift.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# lshift
+
+Basis Function Combinator
+
+Same as a \<\< b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/lt.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# lt
+
+Basis Function Combinator
+
+Same as a \< b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/make_generator.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# make_generator
+
+Basis Function Combinator
+
+\[codireco\] ccons
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/map.md

@@ -0,0 +1,26 @@
+------------------------------------------------------------------------
+
+# map
+
+Basis Function Combinator
+
+Run the quoted program on TOS on the items in the list under it, push a
+new list with the results in place of the program and original list.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/max.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# max
+
+Basis Function Combinator
+
+Given a list find the maximum.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/min.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# min
+
+Basis Function Combinator
+
+Given a list find the minimum.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/mod.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# mod
+
+Basis Function Combinator
+
+Same as a % b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/modulus.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# modulus
+
+Basis Function Combinator
+
+Same as a % b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/mul.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# mul
+
+Basis Function Combinator
+
+Same as a \* b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/ne.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# ne
+
+Basis Function Combinator
+
+Same as a != b.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/neg.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# neg
+
+Basis Function Combinator
+
+Same as -a.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks

docs/reference/not.md

@@ -0,0 +1,25 @@
+------------------------------------------------------------------------
+
+# not
+
+Basis Function Combinator
+
+Same as not a.
+
+Gentzen diagram.
+
+## Definition
+
+if not basis.
+
+## Derivation
+
+if not basis.
+
+## Source
+
+if basis
+
+## Discussion
+
+## Crosslinks