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diff --git a/spv-file-format.texi b/spv-file-format.texi
index e7c3f88890..bb615a2384 100644
--- a/spv-file-format.texi
+++ b/spv-file-format.texi
@@ -517,6 +517,57 @@ for the first dimension, 1 for the second, and so on.  The latter is
 the case 98% of the time in the corpus.
 
 @example
-category := value i1
-            (00 | 01 (00 | 01 | 02) | 02) 00 00 00
+category := value[name] (terminal | group)
+terminal-category := 00 00 00 i2 int[index] i0
 @end example
+
+@code{name} is the name of the category (or group).
+
+@code{category} can represent a terminal category.  In that case,
+@code{index} is a nonnegative integer less than @code{n-categories} in
+the @code{dimension} in which the @code{category} is nested (directly
+or indirectly).
+
+Alternatively, @code{category} can represent a @code{group} of nested
+categories:
+
+@example
+group := (00 | 01)[merge] 00 01 (i0 | i2)[data]
+         i-1 int[n-subcategories] category*[n-subcategories]
+@end example
+
+Ordinarily a group has some nested content, so that
+@code{n-subcategories} is positive, but a few instances of groups with
+@code{n-subcategories} 0 has been observed.
+
+If @code{merge} is 00, the most common value, then the group is really
+a distinct group that should be represented as such in the visual
+representation and user interface.  If @code{merge} is 01, however,
+the categories in this group should be shown and treated as if they
+were direct children of the group's parent group (or if it has no
+parent group, then direct children of the dimension), and this group's
+name is irrelevant and should not be displayed.  (Merged groups can be
+nested!)
+
+@code{data} appears to be i2 when all of the categories within a group
+are terminal categories that directly represent data values for a
+variable (e.g. in a frequency table or crosstabulation, a group of
+values in a variable being tabulated) and i0 otherwise, but this might
+be naive.
+
+@example
+data := int[layers] int[rows] int[columns] int*[n-dimensions]
+@end example
+
+The values of @code{layers}, @code{rows}, and @code{columns} each
+specifies the number of dimensions represented in layers or rows or
+columns, respectively, and their values sum to the number of
+dimensions.
+
+The @code{n-dimensions} integers are a permutation of the 0-based
+dimension numbers.  The first @code{layers} of them specify each of
+the dimensions represented by layers, the next @code{rows} of them
+specify the dimensions represented by rows, and the final
+@code{columns} of them specify the dimensions represented by columns.
+When there is more than one dimension of a given kind, the inner
+dimensions are given first.