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Ref docs B's.

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Simon Forman 2022-03-24 11:15:25 -07:00
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docs/reference/b.md
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## b
(Combinator)
Combinator
Run two quoted programs
@ -12,19 +12,11 @@ Run two quoted programs
### Definition
[i] dip i
### Derivation
[P] [Q] b
[P] [Q] [i] dip i
[P] i [Q] i
P [Q] i
P Q
> \[[i]\] [dip] [i]
### Discussion
This combinator comes in handy.
This combinator may seem trivial but it comes in handy.
### Crosslinks

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docs/reference/binary.md
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## binary
(Combinator)
Combinator
Run a quoted program using exactly two stack values and leave the first
item of the result on the stack.
... y x [P] binary
-----------------------
... A
... a
### Definition
unary popd
> [unary] [popd]
### Discussion

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docs/reference/bool.md
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## bool
Basis Function Combinator
Basis Function
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
Convert the item on the top of the stack to a Boolean value.
### Discussion
Lorem ipsum.
For integers 0 is `false` and any other number is `true`; for lists the
empty list is `false` and all other lists are `true`.
### Crosslinks
Lorem ipsum.
[not]

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docs/reference/branch.md
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## branch
Basis Function Combinator
Basis Combinator
Use a Boolean value to select one of two quoted programs to run.
Use a Boolean value to select and run one of two quoted programs.
branch == roll< choice i
False [F] [T] branch
false [F] [T] branch
--------------------------
F
F
True [F] [T] branch
true [F] [T] branch
-------------------------
T
T
Gentzen diagram.
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
> [rolldown] [choice] [i]
### Discussion
Lorem ipsum.
This is one of the fundamental operations (although it can be defined in
terms of [choice] as above). The more common "if..then..else" construct
[ifte] adds a predicate function that is evaluated [nullary].
### Crosslinks
Lorem ipsum.
[choice]
[ifte]
[select]

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docs/reference/mkref/FuncRef.html
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docs/reference/mkref/Functor-Reference.md
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@ -563,7 +563,7 @@ See the [Recursion Combinators notebook](https://joypy.osdn.io/notebooks/Recursi
## b
(Combinator)
Combinator
Run two quoted programs
@ -573,19 +573,11 @@ Run two quoted programs
### Definition
[i] dip i
### Derivation
[P] [Q] b
[P] [Q] [i] dip i
[P] i [Q] i
P [Q] i
P Q
> \[[i]\] [dip] [i]
### Discussion
This combinator comes in handy.
This combinator may seem trivial but it comes in handy.
### Crosslinks
@ -597,18 +589,18 @@ This combinator comes in handy.
## binary
(Combinator)
Combinator
Run a quoted program using exactly two stack values and leave the first
item of the result on the stack.
... y x [P] binary
-----------------------
... A
... a
### Definition
unary popd
> [unary] [popd]
### Discussion
@ -626,75 +618,54 @@ consuming exactly two items from the stack.
## bool
Basis Function Combinator
Basis Function
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
Convert the item on the top of the stack to a Boolean value.
### Discussion
Lorem ipsum.
For integers 0 is `false` and any other number is `true`; for lists the
empty list is `false` and all other lists are `true`.
### Crosslinks
Lorem ipsum.
[not]
------------------------------------------------------------------------
## branch
Basis Function Combinator
Basis Combinator
Use a Boolean value to select one of two quoted programs to run.
Use a Boolean value to select and run one of two quoted programs.
branch == roll< choice i
False [F] [T] branch
false [F] [T] branch
--------------------------
F
F
True [F] [T] branch
true [F] [T] branch
-------------------------
T
T
Gentzen diagram.
### Definition
if not basis.
### Derivation
if not basis.
### Source
if basis
> [rolldown] [choice] [i]
### Discussion
Lorem ipsum.
This is one of the fundamental operations (although it can be defined in
terms of [choice] as above). The more common "if..then..else" construct
[ifte] adds a predicate function that is evaluated [nullary].
### Crosslinks
Lorem ipsum.
[choice]
[ifte]
[select]
------------------------------------------------------------------------