For child entries with crossrefs, how can I instruct biblatex to output only a reference to the parent entry in the bibliography?

Question

When producing a bibliography using biblatex and the alphabetic style, I would like to produce actual cross-references between two crossref-entries.  For example, if I have several @inproceedings entries that define crossref={proc} and I have a matching @proceedings entry, I would like to generate something along the lines of:

[Aut13a] Test Author. “Testing the second Title”. In: [EE13], pp. 10–20.
  
  [Aut13b] Test Author. “Testing the Title”. In: [EE13], pp. 1–10.
  
  [EE13] Senor Editor and Senora Editora, eds. My Proceedings. Any Publisher, 2013.

But the only result I am achieving so far is:

[Aut13a] Test Author. “Testing the second Title”. In: My Proceedings. 
               Ed. by Senor Editor and Senora Editora. Any Publisher, 2013, 
               pp. 10–20.
  
  [Aut13b] Test Author. “Testing the Title”. In: My Proceedings. Ed. by 
               Senor Editor and Senora Editora. Any Publisher, 2013, pp. 1–10.
  
  [EE13]   Senor Editor and Senora Editora, eds. My Proceedings. Any 
               Publisher, 2013.

This is actually the same question as How can I print only Author-Date of the parent crossref in the bibliography entry of the child of the crossref? but the proposed answer there is just a work-around which would be very tedious for my rather large bibliography file.

The behavior described above is standard BibTeX behavior for the alpha style, AFAIK.  So I suspect this is just one of the approximately 10,000 configuration options of biblatex and I'm simply not aware of how to do it ;-)
To get you guys going, here is an MWE:

documentclass[]{article}

usepackage[backend=biber,style=alphabetic]{biblatex}
usepackage{filecontents}

begin{filecontents}{my.bib}
@inproceedings{inproc1,
    Author = {Test Author},
    Crossref = {proc},
    Pages = {1--10},
    Title = {Testing the Title}}

@inproceedings{inproc2,
    Author = {Test Author},
    Crossref = {proc},
    Pages = {10--20},
    Title = {Testing the second Title}}

@proceedings{proc,
    Editor = {Senor Editor and Senora Editora},
    Publisher = {Any Publisher},
    Title = {My Proceedings},
    Year = {2013}}
end{filecontents}

addbibresource{my.bib}

begin{document}
Test cite{inproc1} and cite{inproc2}
printbibliography
end{document}

Paul Stanley · Accepted Answer

Substantially Revised

In the light of the discussion in the comments, I've substantially revised this.

documentclass[]{article}

usepackage[backend=biber,style=alphabetic]{biblatex}
usepackage{filecontents}

begin{filecontents}{my.bib}
@inproceedings{inproc1,
    Author = {Test Author},
    Crossref = {proc},
    Pages = {1--10},
    Title = {Testing the Title}}

@inproceedings{inproc2,
    Author = {Test Author},
    Crossref = {proc},
    Pages = {10--20},
    Title = {Testing the second Title}}

@proceedings{proc,
    Editor = {Senor Editor and Senora Editora},
    Publisher = {Any Publisher},
    Title = {My Proceedings},
    Year = {2013}}

@inproceedings{inproc3,
    Author  = {Nother Author},
    Publisher = {Nother Publisher},
    Title   = {In Some Other Proceedings},
    Maintitle = {Main Title of Other Proceedings},
    Year     = {2001},
}
end{filecontents}

DeclareBibliographyDriver{inproceedings}{%
  usebibmacro{bibindex}%
  usebibmacro{begentry}%
  usebibmacro{author/translator+others}%
  setunit{labelnamepunct}newblock
  usebibmacro{title}%
  newunit
  printlist{language}%
  newunitnewblock
  usebibmacro{byauthor}%
  newunitnewblock
  usebibmacro{in:}%
  iffieldundef{crossref}
    {usebibmacro{crossref:full}}
    {usebibmacro{crossref:label}}
  newunitnewblock
  usebibmacro{chapter+pages}%
  iffieldundef{crossref}
    {usebibmacro{crossref:extrainfo}}
    {}
  setunit{bibpagerefpunct}newblock
  usebibmacro{pageref}%
  usebibmacro{finentry}}

newbibmacro{crossref:full}{%
    usebibmacro{maintitle+booktitle}%
  newunitnewblock
  usebibmacro{event+venue+date}%
  newunitnewblock
  usebibmacro{byeditor+others}%
  newunitnewblock
  iffieldundef{maintitle}
    {printfield{volume}%
     printfield{part}}
    {}%
  newunit
  printfield{volumes}%
  newunitnewblock
  usebibmacro{series+number}%
  newunitnewblock
  printfield{note}%
  newunitnewblock
  printlist{organization}%
  newunit
  usebibmacro{publisher+location+date}}

newbibmacro{crossref:label}{%
  entrydata{strfield{crossref}}
     {printtext{mkbibbrackets
        {printfield{labelalpha}printfield{extraalpha}}}}}

newbibmacro{crossref:extrainfo}{%
  newunitnewblock
  iftoggle{bbx:isbn}
    {printfield{isbn}}
    {}%
  newunitnewblock
  usebibmacro{doi+eprint+url}%
  newunitnewblock
  usebibmacro{addendum+pubstate}}%

addbibresource{my.bib}

begin{document}

Test cite{inproc1} and cite{inproc2} and cite{inproc3}
printbibliography
end{document}

This redefinition of the driver for inproceedings checks to see if there is a cross reference field defined. If there is, then it prints the label for the cross-referenced work. If there is not (ie if the inproceedings entry is self-contained) it prints full information.

I've only done this for inproceedings: it might be necessary to use a similar redefinition for inbook and incollection if you use these in a similar way.

(Note: this replaces my original answer, which involved a (bad) hackish redefinition of the maintitle+booktitle macro, and which would have had unfortunate effects if crossreferences were not defined. This should be safe if a crossreference is defined, so long as it is valid and refers to a work that is cited. It also carries the health warning that I haven't tested it extensively with a large number of examples, and it's always the corner cases that catch you when you try to write bibliography drivers.)

moewe · Answer

The styles of my biblatex-ext bundle have an option called citexref to do this.
So you can just replace style=alphabetic, with style=ext-alphabetic, and add citexref=true, to the biblatex options and are good to go.
documentclass[]{article}

usepackage[backend=biber, style=ext-alphabetic, citexref=true]{biblatex}

begin{filecontents}{jobname.bib}
@inproceedings{inproc1,
  author   = {Test Author},
  crossref = {proc},
  pages    = {1--10},
  title    = {Testing the Title},
}
@inproceedings{inproc2,
  author   = {Test Author},
  crossref = {proc},
  pages    = {10--20},
  title    = {Testing the second Title},
}
@proceedings{proc,
  editor    = {Senor Editor and Senora Editora},
  publisher = {Any Publisher},
  title     = {My Proceedings},
  year      = {2013},
}
@inproceedings{inproc3,
  author    = {Nother Author},
  publisher = {Nother Publisher},
  title     = {In Some Other Proceedings},
  maintitle = {Main Title of Other Proceedings},
  year      = {2001},
}
end{filecontents}
addbibresource{jobname.bib}

begin{document}
Test cite{inproc1} and cite{inproc2} and cite{inproc3}
printbibliography
end{document}

The implementation of that option is fairly similar to what Paul Stanley's wonderful answer does.

For child entries with crossrefs, how can I instruct biblatex to output only a reference to the parent entry in the bibliography?

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