That's what I understood from the J dictionary, NuVoc, and personal experience:
$: refers to the *largest, unnamed, tacit* verb containing it. And by "tacit" 
here I mean in the same "colon-level" as the $: in question.
For example:
In
$: @ (3 : 'y')
$: refers to the whole verb.
In
3 : '$: y'
it refers to itself only.
In
3 : '$:@>: y'
it refers to $:@>:.
In
$:@>:
it refers to the whole tacit verb, but in
u=: v@>:
v=: $:
it refers to only v.

So in your examples Erling, $: in those explicit definitions refers only to 
itself, which obviously leads to a stack error. Use the explicit verb's name if 
you need recursion in an explicit verb.

Louis

> On 1 Oct 2017, at 00:54, Raul Miller <[email protected]> wrote:
> 
> Hmm.. after re-reading the dictionary definition, I think I was wrong
> when I said that
>  x $: <: y
> was the meaning for $: in that second example:
> 
> Since no verbs are formed in that sentence, $: just refers to itself
> as the largest containing verb.
> 
> Please tell me if you have reason to think I'm wrong about this.
> 
> Thanks,
> 
> -- 
> Raul
> 
> 
>> On Sat, Sep 30, 2017 at 6:44 PM, Henry Rich <[email protected]> wrote:
>> The problem is that we mean different things by 'work'.  To me, that means
>> it behaves the way NuVoc says it does.  I get the feeling that to you,
>> 'works' means it behaves the way you want it to.
>> 
>> It works, by my meaning.  The Dictionary is not precise about the behavior
>> of $: in explicit definitions.
>> 
>> Henry Rich
>> 
>> 
>>> On 9/30/2017 6:04 PM, Erling Hellenäs wrote:
>>> 
>>> I guess it would be impossible to get you to acknowledge that it does not
>>> work  with explicit J in agenda :) /Erling
>>> 
>>>> On 2017-09-30 23:16, Raul Miller wrote:
>>>> 
>>>> Yes, if you want to explicitly reference the definition of f, you
>>>> should use the name f (like you used at first), and not $:
>>>> 
>>>> $: refers to the containing sentence, which in your example was
>>>>    x $: <: y
>>>> 
>>>> To have $: mean something different you need to use it in a different
>>>> sentence (which is entirely possible, of course).
>>>> 
>>>> Thanks,
>>>> 
>>> 
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>> 
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