Recur.html 4.7 KB

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  56. <hr size="1">
  57. <a name="Recur-1"></a>
  58. <h4 class="subsubsection">2.7.9.1 Recur</h4>
  59. <a name="index-meta-1"></a>
  60. <a name="index-recur"></a>
  61. <p>A generalization of the form denoted by <code>meta</code> in <code>silly</code> is
  62. recognized by the virtual machine and allows a slightly more efficient
  63. encoding of recursive applications. An expression <code>recur <var>p</var></code>
  64. has the representation indicated by this theorem,
  65. </p>
  66. <dl compact="compact">
  67. <dt> <em>T15</em></dt>
  68. <dd><p>[[<code>recur</code>]] <code><var>p</var></code> = <code>(((nil,<var>p</var>),nil),nil)</code>
  69. </p></dd>
  70. </dl>
  71. <p>which implies that [[<code>meta</code>]] = [[<code>recur</code>]] <code>(nil,nil)</code>.
  72. </p>
  73. <p>If <code><var>p</var></code> is non-<code>nil</code>, a tree of the form [[<code>recur</code>]]
  74. <code><var>p</var></code> is interpreted as follows. Note that <em>P4</em> is
  75. equivalent to the special case of this property for which <code><var>p</var></code>
  76. is <code>(nil,nil)</code>.
  77. </p>
  78. <dl compact="compact">
  79. <dt> <em>P14</em></dt>
  80. <dd><p>([[<code>recur</code>]] <code><var>p</var></code>) <code><var>x</var></code> = [[<code>meta</code>]] ([[<code>field</code>]] <code><var>p</var></code>) <code><var>x</var></code>
  81. </p></dd>
  82. </dl>
  83. <p>The rationale is that <code>meta</code> would very frequently be composed with
  84. a deconstruction <code>field <var>p</var></code>, so the virtual machine saves some
  85. time and space by allowing the two of them to be encoded in a smaller
  86. tree with the combined meaning.
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