MD in the yow dir. Why not?

This commit is contained in:
Simon Forman
2022-03-23 11:44:38 -07:00
parent 2297204280
commit 0e79ba480f
535 changed files with 7384 additions and 355 deletions
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------------------------------------------------------------------------
# &
Basis Function Combinator
Same as a & b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# &&
Basis Function Combinator
nulco \[nullary \[false\]\] dip branch
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# \*
Basis Function Combinator
Same as a \* b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# •
Basis Function Combinator
The identity function.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# \^
Basis Function Combinator
Same as a \^ b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# =
Basis Function Combinator
Same as a == b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# !=
Basis Function Combinator
Same as a != b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
!-\^\^\^\^
Basis Function Combinator
0 \>=
Gentzen diagram.
# Definition
if not basis.
# Derivation
if not basis.
# Source
if basis
# Discussion
Lorem ipsum.
# Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# \>
Basis Function Combinator
Same as a \> b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# \>=
Basis Function Combinator
Same as a \>= b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# \>\>
Basis Function Combinator
Same as a \>\> b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
-\^\^\^
Basis Function Combinator
Same as a - b.
Gentzen diagram.
# Definition
if not basis.
# Derivation
if not basis.
# Source
if basis
# Discussion
Lorem ipsum.
# Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
\--\^\^\^\^
Basis Function Combinator
Decrement TOS.
Gentzen diagram.
# Definition
if not basis.
# Derivation
if not basis.
# Source
if basis
# Discussion
Lorem ipsum.
# Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# \<
Basis Function Combinator
Same as a \< b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# \<=
Basis Function Combinator
Same as a \<= b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# \<\>
Basis Function Combinator
Same as a != b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# \<{}
Basis Function Combinator
\[\] swap
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# \<\<
Basis Function Combinator
Same as a \<\< b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# \<\<{}
Basis Function Combinator
\[\] rollup
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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rsts = $(wildcard *.rst)
mds = $(patsubst %.rst,%.md,$(rsts))
# mv -vf *.md ../reference/
all: $(mds)
@@ -11,3 +9,4 @@ clean:
$(mds): %.md : %.rst
pandoc $< -o $@
cp -vf $@ ../reference/
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------------------------------------------------------------------------
# %
Basis Function Combinator
Same as a % b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# +
Basis Function Combinator
Same as a + b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# ++
Basis Function Combinator
Increment TOS.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# ?
Basis Function Combinator
dup bool
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# /
Basis Function Combinator
Same as a // b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# //
Basis Function Combinator
Same as a // b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# /floor
Basis Function Combinator
Same as a // b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# \|\|
Basis Function Combinator
nulco \[nullary\] dip \[true\] branch
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# add
Basis Function Combinator
Same as a + b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# anamorphism
Basis Function Combinator
\[pop \[\]\] swap \[dip swons\] genrec
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# and
Basis Function Combinator
Same as a & b.
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# appN
Basis Function Combinator
\[grabN\] codi map disenstacken
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -50,3 +50,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# average
Basis Function Combinator
\[sum\] \[size\] cleave /
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -54,3 +54,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# ccccons
Basis Function Combinator
ccons ccons
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -52,3 +52,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+34
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -45,3 +45,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# cleave
Basis Function Combinator
fork popdd
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+29
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------------------------------------------------------------------------
# clop
Basis Function Combinator
cleave popdd
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+42
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -53,3 +53,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+29
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@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# codi
Basis Function Combinator
cons dip
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+29
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@@ -0,0 +1,29 @@
------------------------------------------------------------------------
# codireco
Basis Function Combinator
codi reco
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+33
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@@ -0,0 +1,33 @@
------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -45,3 +45,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
+40
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.
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Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# dinfrirst
Basis Function Combinator
dip infrst
Gentzen diagram.
## Definition
if not basis.
## Derivation
if not basis.
## Source
if basis
## Discussion
Lorem ipsum.
## Crosslinks
Lorem ipsum.
+3
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@@ -37,3 +37,6 @@ Lorem ipsum.
Crosslinks
~~~~~~~~~~
Lorem ipsum.
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------------------------------------------------------------------------
# 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
Lorem ipsum.
## Crosslinks
Lorem ipsum.

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