<p><a href="#split_at">split_at</a></p>
<hr />
<h2 id="sqr">sqr</h2>
-<p>Basis Function Combinator</p>
-<p>dup *</p>
-<p>Gentzen diagram.</p>
+<p>Function</p>
+<p>Square the number on the top of the stack.</p>
+<pre><code> n sqr
+------------
+ n²</code></pre>
<h3 id="definition-81">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-3">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-64">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-98">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<blockquote>
+<p><a href="#dup">dup</a> <a href="#mul">mul</a></p>
+</blockquote>
<hr />
<h2 id="sqrt">sqrt</h2>
<p>Basis Function Combinator</p>
<p>Return the square root of the number a. Negative numbers return complex roots.</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-82">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-4">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-1">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-65">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-99">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<h3 id="discussion-64">Discussion</h3>
+<p>Another “numeric tower” hatch…</p>
<hr />
<h2 id="stack">stack</h2>
-<p>Basis Function Combinator</p>
-<pre><code>(... -- ... [...])</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-83">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-5">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-2">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-66">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-100">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Put the stack onto the stack.</p>
+<pre><code> ... c b a stack
+---------------------------
+ ... c b a [a b c ...]</code></pre>
+<h3 id="definition-82">Definition</h3>
+<blockquote>
+<p>[] <a href="#swaack">swaack</a> <a href="#dup">dup</a> <a href="#swaack">swaack</a> <a href="#first">first</a></p>
+</blockquote>
+<h3 id="discussion-65">Discussion</h3>
+<p>This function forms a pair with [unstack], and together they form the complement to the “destructive” pair <a href="#enstacken">enstacken</a> and <a href="#disenstacken">disenstacken</a>.</p>
+<h3 id="crosslinks-98">Crosslinks</h3>
+<p>[unstack] <a href="#enstacken">enstacken</a> <a href="#disenstacken">disenstacken</a></p>
<hr />
<h2 id="stackd">stackd</h2>
-<p>Basis Function Combinator</p>
-<p>[stack] dip</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-84">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-6">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-3">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-67">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-101">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Grab the stack under the top item and put it onto the stack.</p>
+<h3 id="example-26">Example</h3>
+<pre><code> ... 1 2 3 stackd
+------------------------
+ ... 1 2 [2 1 ...] 3</code></pre>
+<h3 id="definition-83">Definition</h3>
+<blockquote>
+<p>[<a href="#stack">stack</a>] <a href="#dip">dip</a></p>
+</blockquote>
<hr />
<h2 id="step">step</h2>
-<p>Basis Function Combinator</p>
-<p>Run a quoted program on each item in a sequence. :</p>
-<pre><code>... [] [Q] . step
------------------------
- ... .
+<p>Combinator</p>
+<p>Run a quoted program on each item in a sequence.</p>
+<pre><code> ... [] [Q] step
+---------------------
+ ...
-... [a] [Q] . step
-------------------------
- ... a . Q
+ ... [a] [Q] step
+----------------------
+ ... a Q
-... [a b c] [Q] . step
+ ... [a b c] [Q] . step
----------------------------------------
- ... a . Q [b c] [Q] step</code></pre>
-<p>The step combinator executes the quotation on each member of the list on top of the stack.</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-85">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-7">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-4">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-68">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-102">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+ ... a . Q [b c] [Q] step</code></pre>
+<h3 id="discussion-66">Discussion</h3>
+<p>See the <a href="https://joypy.osdn.io/notebooks/Recursion_Combinators.html">Recursion Combinators notebook</a>.</p>
+<h3 id="crosslinks-99">Crosslinks</h3>
+<p><a href="#step_zero">step_zero</a></p>
<hr />
<h2 id="step_zero">step_zero</h2>
-<p>Basis Function Combinator</p>
-<p>0 roll> step</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-86">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-8">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-5">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-69">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-103">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Combinator</p>
+<p>Like <a href="#step">step</a> but with 0 as the initial value.</p>
+<pre><code> [...] [F] step_zero
+-------------------------
+ 0 [...] [F] step</code></pre>
+<h3 id="definition-84">Definition</h3>
+<blockquote>
+<p>0 <a href="#roll">roll></a> <a href="#step">step</a></p>
+</blockquote>
+<h3 id="discussion-67">Discussion</h3>
+<p><a href="#size">size</a> and <a href="#sum">sum</a> can both be defined in terms of this specialization of <a href="#step">step</a>.</p>
+<h3 id="crosslinks-100">Crosslinks</h3>
+<p><a href="#step">step</a></p>
<hr />
<h2 id="stuncons">stuncons</h2>
-<p>Basis Function Combinator</p>
-<pre><code>(... a1 -- ... a1 a1 [...])</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-87">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-9">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-6">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-70">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-104">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Take the <a href="#stack">stack</a> and <a href="#uncons">uncons</a> the top item.</p>
+<h3 id="example-27">Example</h3>
+<pre><code> 1 2 3 stuncons
+--------------------
+ 1 2 3 3 [2 1]</code></pre>
+<h3 id="definition-85">Definition</h3>
+<blockquote>
+<p><a href="#stack">stack</a> <a href="#uncons">uncons</a></p>
+</blockquote>
<hr />
<h2 id="stununcons">stununcons</h2>
-<p>Basis Function Combinator</p>
-<pre><code>(... a2 a1 -- ... a2 a1 a1 a2 [...])</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-88">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-10">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-7">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-71">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-105">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Take the <a href="#stack">stack</a> and <a href="#uncons">uncons</a> the top two items.</p>
+<h3 id="example-28">Example</h3>
+<pre><code> 1 2 3 stununcons
+----------------------
+ 1 2 3 3 2 [1]</code></pre>
+<h3 id="definition-86">Definition</h3>
+<blockquote>
+<p><a href="#stack">stack</a> <a href="#uncons">uncons</a> <a href="#uncons">uncons</a></p>
+</blockquote>
+<h3 id="crosslinks-101">Crosslinks</h3>
+<p><a href="#stuncons">stuncons</a></p>
<hr />
<h2 id="sub">sub</h2>
-<p>Basis Function Combinator</p>
-<p>Same as a - b.</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-89">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-11">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-8">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-72">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-106">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Basis Function</p>
+<p>Subtract the number on the top of the stack from the number below it.</p>
+<pre><code> a b sub
+-------------
+ (a-b)</code></pre>
+<h3 id="crosslinks-102">Crosslinks</h3>
+<p><a href="#add">add</a></p>
<hr />
<h2 id="succ">succ</h2>
-<p>Basis Function Combinator</p>
-<p>Increment TOS.</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-90">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-12">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-9">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-73">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-107">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Successor. Increment TOS.</p>
+<h3 id="definition-87">Definition</h3>
+<blockquote>
+<p>1 +</p>
+</blockquote>
+<h3 id="crosslinks-103">Crosslinks</h3>
+<p><a href="#pred">pred</a></p>
<hr />
<h2 id="sum">sum</h2>
-<p>Basis Function Combinator</p>
-<p>Given a quoted sequence of numbers return the sum. :</p>
-<pre><code>sum == 0 swap [+] step</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-91">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-13">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-10">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-74">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-108">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Combinator</p>
+<p>Given a quoted sequence of numbers return the sum.</p>
+<h3 id="example-29">Example</h3>
+<pre><code> [1 2 3 4 5] sum
+---------------------
+ 15</code></pre>
+<h3 id="definition-88">Definition</h3>
+<blockquote>
+<p>[+] <a href="#step_zero">step_zero</a></p>
+</blockquote>
+<h3 id="crosslinks-104">Crosslinks</h3>
+<p><a href="#size">size</a></p>
<hr />
<h2 id="swaack">swaack</h2>
-<p>Basis Function Combinator</p>
-<pre><code>([...1] -- [...0])</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-92">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-14">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-11">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-75">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-109">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Basis Function</p>
+<p>Swap stack. Take a list from the top of the stack, replace the stack with the list, and put the old stack onto it.</p>
+<h3 id="example-30">Example</h3>
+<pre><code> 1 2 3 [4 5 6] swaack
+--------------------------
+ 6 5 4 [3 2 1]</code></pre>
+<h3 id="discussion-68">Discussion</h3>
+<p>This function works as a kind of “context switch”. It’s used in the definition of <a href="#infra">infra</a>.</p>
+<h3 id="crosslinks-105">Crosslinks</h3>
+<p><a href="#infra">infra</a></p>
<hr />
<h2 id="swap">swap</h2>
-<p>Basis Function Combinator</p>
-<pre><code>(a1 a2 -- a2 a1)</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-93">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-15">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-12">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-76">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-110">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Basis Function</p>
+<p>Swap the top two items on the stack.</p>
+<pre><code> a b swap
+--------------
+ b a</code></pre>
+<h3 id="crosslinks-106">Crosslinks</h3>
+<p><a href="#swapd">swapd</a></p>
<hr />
<h2 id="swapd">swapd</h2>
-<p>Basis Function Combinator</p>
-<p>[swap] dip</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-94">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-16">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-13">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-77">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-111">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Swap the second and third items on the stack.</p>
+<pre><code> a b c swapd
+-----------------
+ b a c</code></pre>
+<h3 id="definition-89">Definition</h3>
+<blockquote>
+<p>[<a href="#swap">swap</a>] <a href="#dip">dip</a></p>
+</blockquote>
+<h3 id="crosslinks-107">Crosslinks</h3>
+<p><a href="#over">over</a> <a href="#tuck">tuck</a></p>
<hr />
<h2 id="swoncat">swoncat</h2>
-<p>Basis Function Combinator</p>
-<p>swap concat</p>
-<p>Gentzen diagram.</p>
-<h3 id="definition-95">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-17">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-14">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-78">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-112">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p><a href="#concat">concat</a> two lists, but <a href="#swap">swap</a> the lists first.</p>
+<h3 id="definition-90">Definition</h3>
+<blockquote>
+<p><a href="#swap">swap</a> <a href="#concat">concat</a></p>
+</blockquote>
+<h3 id="crosslinks-108">Crosslinks</h3>
+<p><a href="#concat">concat</a></p>
<hr />
<h2 id="swons">swons</h2>
-<p>Basis Function Combinator</p>
-<pre><code>([...1] a1 -- [a1 ...1])</code></pre>
-<p>Gentzen diagram.</p>
-<h3 id="definition-96">Definition</h3>
-<p>if not basis.</p>
-<h3 id="derivation-18">Derivation</h3>
-<p>if not basis.</p>
-<h3 id="source-15">Source</h3>
-<p>if basis</p>
-<h3 id="discussion-79">Discussion</h3>
-<p>Lorem ipsum.</p>
-<h3 id="crosslinks-113">Crosslinks</h3>
-<p>Lorem ipsum.</p>
+<p>Function</p>
+<p>Like <a href="#cons">cons</a> but <a href="#swap">swap</a> the item and list.</p>
+<pre><code> [...] a swons
+-------------------
+ [a ...]</code></pre>
+<h3 id="definition-91">Definition</h3>
+<blockquote>
+<p><a href="#swap">swap</a> <a href="#cons">cons</a></p>
+</blockquote>
<hr />
<h2 id="tailrec">tailrec</h2>
<p>Basis Function Combinator</p>
<p>[i] genrec</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-97">Definition</h3>
+<h3 id="definition-92">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-19">Derivation</h3>
+<h3 id="derivation-3">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-16">Source</h3>
+<h3 id="source">Source</h3>
<p>if basis</p>
-<h3 id="discussion-80">Discussion</h3>
+<h3 id="discussion-69">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-114">Crosslinks</h3>
+<h3 id="crosslinks-109">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="take">take</h2>
----------------------
[b a]</code></pre>
<p>Gentzen diagram.</p>
-<h3 id="definition-98">Definition</h3>
+<h3 id="definition-93">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-20">Derivation</h3>
+<h3 id="derivation-4">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-17">Source</h3>
+<h3 id="source-1">Source</h3>
<p>if basis</p>
-<h3 id="discussion-81">Discussion</h3>
+<h3 id="discussion-70">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-115">Crosslinks</h3>
+<h3 id="crosslinks-110">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="ternary">ternary</h2>
<pre><code> ... z y x [P] unary
-------------------------
... A</code></pre>
-<h3 id="definition-99">Definition</h3>
+<h3 id="definition-94">Definition</h3>
<pre><code>binary popd</code></pre>
-<h3 id="discussion-82">Discussion</h3>
+<h3 id="discussion-71">Discussion</h3>
<p>Runs any other quoted function and returns its first result while consuming exactly three items from the stack.</p>
-<h3 id="crosslinks-116">Crosslinks</h3>
+<h3 id="crosslinks-111">Crosslinks</h3>
<p><a href="#binary">binary</a> <a href="#nullary">nullary</a> <a href="#unary">unary</a></p>
<hr />
<h2 id="third">third</h2>
<p>Basis Function Combinator</p>
<pre><code>([a1 a2 a3 ...1] -- a3)</code></pre>
<p>Gentzen diagram.</p>
-<h3 id="definition-100">Definition</h3>
+<h3 id="definition-95">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-21">Derivation</h3>
+<h3 id="derivation-5">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-18">Source</h3>
+<h3 id="source-2">Source</h3>
<p>if basis</p>
-<h3 id="discussion-83">Discussion</h3>
+<h3 id="discussion-72">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-117">Crosslinks</h3>
+<h3 id="crosslinks-112">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="times">times</h2>
------------------------------------- w/ n > 1
... . Q (n - 1) [Q] times</code></pre>
<p>Gentzen diagram.</p>
-<h3 id="definition-101">Definition</h3>
+<h3 id="definition-96">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-22">Derivation</h3>
+<h3 id="derivation-6">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-19">Source</h3>
+<h3 id="source-3">Source</h3>
<p>if basis</p>
-<h3 id="discussion-84">Discussion</h3>
+<h3 id="discussion-73">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-118">Crosslinks</h3>
+<h3 id="crosslinks-113">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="truthy">truthy</h2>
<p>Basis Function Combinator</p>
<pre><code>(a2 a1 -- a1 a2 a1)</code></pre>
<p>Gentzen diagram.</p>
-<h3 id="definition-102">Definition</h3>
+<h3 id="definition-97">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-23">Derivation</h3>
+<h3 id="derivation-7">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-20">Source</h3>
+<h3 id="source-4">Source</h3>
<p>if basis</p>
-<h3 id="discussion-85">Discussion</h3>
+<h3 id="discussion-74">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-119">Crosslinks</h3>
+<h3 id="crosslinks-114">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="unary">unary</h2>
<pre><code> ... x [P] unary
---------------------
... A</code></pre>
-<h3 id="definition-103">Definition</h3>
+<h3 id="definition-98">Definition</h3>
<pre><code>nullary popd</code></pre>
-<h3 id="discussion-86">Discussion</h3>
+<h3 id="discussion-75">Discussion</h3>
<p>Runs any other quoted function and returns its first result while consuming exactly one item from the stack.</p>
-<h3 id="crosslinks-120">Crosslinks</h3>
+<h3 id="crosslinks-115">Crosslinks</h3>
<p><a href="#binary">binary</a> <a href="#nullary">nullary</a> <a href="#ternary">ternary</a></p>
<hr />
<h2 id="uncons">uncons</h2>
<pre><code> [A ...] uncons
--------------------
A [...]</code></pre>
-<h3 id="source-21">Source</h3>
+<h3 id="source-5">Source</h3>
<pre><code>func(uncons, Si, So) :- func(cons, So, Si).</code></pre>
-<h3 id="discussion-87">Discussion</h3>
+<h3 id="discussion-76">Discussion</h3>
<p>This is the inverse of <code>cons</code>.</p>
-<h3 id="crosslinks-121">Crosslinks</h3>
+<h3 id="crosslinks-116">Crosslinks</h3>
<p><a href="#cons">cons</a></p>
<hr />
<h2 id="unique">unique</h2>
<p>Basis Function Combinator</p>
<p>Given a list remove duplicate items.</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-104">Definition</h3>
+<h3 id="definition-99">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-24">Derivation</h3>
+<h3 id="derivation-8">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-22">Source</h3>
+<h3 id="source-6">Source</h3>
<p>if basis</p>
-<h3 id="discussion-88">Discussion</h3>
+<h3 id="discussion-77">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-122">Crosslinks</h3>
+<h3 id="crosslinks-117">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="unit">unit</h2>
<p>Basis Function Combinator</p>
<pre><code>(a1 -- [a1 ])</code></pre>
<p>Gentzen diagram.</p>
-<h3 id="definition-105">Definition</h3>
+<h3 id="definition-100">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-25">Derivation</h3>
+<h3 id="derivation-9">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-23">Source</h3>
+<h3 id="source-7">Source</h3>
<p>if basis</p>
-<h3 id="discussion-89">Discussion</h3>
+<h3 id="discussion-78">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-123">Crosslinks</h3>
+<h3 id="crosslinks-118">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="unquoted">unquoted</h2>
<p>Basis Function Combinator</p>
<p>[i] dip</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-106">Definition</h3>
+<h3 id="definition-101">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-26">Derivation</h3>
+<h3 id="derivation-10">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-24">Source</h3>
+<h3 id="source-8">Source</h3>
<p>if basis</p>
-<h3 id="discussion-90">Discussion</h3>
+<h3 id="discussion-79">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-124">Crosslinks</h3>
+<h3 id="crosslinks-119">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="unswons">unswons</h2>
<p>Basis Function Combinator</p>
<pre><code>([a1 ...1] -- [...1] a1)</code></pre>
<p>Gentzen diagram.</p>
-<h3 id="definition-107">Definition</h3>
+<h3 id="definition-102">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-27">Derivation</h3>
+<h3 id="derivation-11">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-25">Source</h3>
+<h3 id="source-9">Source</h3>
<p>if basis</p>
-<h3 id="discussion-91">Discussion</h3>
+<h3 id="discussion-80">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-125">Crosslinks</h3>
+<h3 id="crosslinks-120">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="void">void</h2>
<p>Basis Function Combinator</p>
<p>True if the form on TOS is void otherwise False.</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-108">Definition</h3>
+<h3 id="definition-103">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-28">Derivation</h3>
+<h3 id="derivation-12">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-26">Source</h3>
+<h3 id="source-10">Source</h3>
<p>if basis</p>
-<h3 id="discussion-92">Discussion</h3>
+<h3 id="discussion-81">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-126">Crosslinks</h3>
+<h3 id="crosslinks-121">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="warranty">warranty</h2>
<p>Basis Function Combinator</p>
<p>Print warranty information.</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-109">Definition</h3>
+<h3 id="definition-104">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-29">Derivation</h3>
+<h3 id="derivation-13">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-27">Source</h3>
+<h3 id="source-11">Source</h3>
<p>if basis</p>
-<h3 id="discussion-93">Discussion</h3>
+<h3 id="discussion-82">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-127">Crosslinks</h3>
+<h3 id="crosslinks-122">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="while">while</h2>
<p>Basis Function Combinator</p>
<p>swap nulco dupdipd concat loop</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-110">Definition</h3>
+<h3 id="definition-105">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-30">Derivation</h3>
+<h3 id="derivation-14">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-28">Source</h3>
+<h3 id="source-12">Source</h3>
<p>if basis</p>
-<h3 id="discussion-94">Discussion</h3>
+<h3 id="discussion-83">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-128">Crosslinks</h3>
+<h3 id="crosslinks-123">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="words">words</h2>
<p>Basis Function Combinator</p>
<p>Print all the words in alphabetical order.</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-111">Definition</h3>
+<h3 id="definition-106">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-31">Derivation</h3>
+<h3 id="derivation-15">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-29">Source</h3>
+<h3 id="source-13">Source</h3>
<p>if basis</p>
-<h3 id="discussion-95">Discussion</h3>
+<h3 id="discussion-84">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-129">Crosslinks</h3>
+<h3 id="crosslinks-124">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="x">x</h2>
<pre><code> [F] x
-----------
[F] F</code></pre>
-<h3 id="definition-112">Definition</h3>
+<h3 id="definition-107">Definition</h3>
<pre><code>dup i</code></pre>
-<h3 id="discussion-96">Discussion</h3>
+<h3 id="discussion-85">Discussion</h3>
<p>The <code>x</code> combinator …</p>
<hr />
<h2 id="xor">xor</h2>
<p>Basis Function Combinator</p>
<p>Same as a ^ b.</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-113">Definition</h3>
+<h3 id="definition-108">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-32">Derivation</h3>
+<h3 id="derivation-16">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-30">Source</h3>
+<h3 id="source-14">Source</h3>
<p>if basis</p>
-<h3 id="discussion-97">Discussion</h3>
+<h3 id="discussion-86">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-130">Crosslinks</h3>
+<h3 id="crosslinks-125">Crosslinks</h3>
<p>Lorem ipsum.</p>
<hr />
<h2 id="zip">zip</h2>
<p>Basis Function Combinator</p>
<p>Replace the two lists on the top of the stack with a list of the pairs from each list. The smallest list sets the length of the result list.</p>
<p>Gentzen diagram.</p>
-<h3 id="definition-114">Definition</h3>
+<h3 id="definition-109">Definition</h3>
<p>if not basis.</p>
-<h3 id="derivation-33">Derivation</h3>
+<h3 id="derivation-17">Derivation</h3>
<p>if not basis.</p>
-<h3 id="source-31">Source</h3>
+<h3 id="source-15">Source</h3>
<p>if basis</p>
-<h3 id="discussion-98">Discussion</h3>
+<h3 id="discussion-87">Discussion</h3>
<p>Lorem ipsum.</p>
-<h3 id="crosslinks-131">Crosslinks</h3>
+<h3 id="crosslinks-126">Crosslinks</h3>
<p>Lorem ipsum.</p>
</body>
</html>