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Re: Questions on LU and ITT
> I seem to have evermore questions as I learn more about proof theory, linear
> logic and LU.
>
> 1. Has a sequent presentation of Martin-Lo"f Intuitionistic Type Theory been
> published?
My 1990 University of Edinburgh Ph.D. thesis contains, amongst other
things, a sequent calculus for the lambdaPi-calculus, a theory of
first-order dependent function types (just Pi, no Sigma, a fragment of ITT).
This is discussed, as part of a different analysis, in
``Proof-search in the $\lambda\Pi$-calculus'', by D.J. Pym and L.A. Wallen.
In: Logical Frameworks, Gerard Huet and Gordon Plotkin (editors),
Cambridge University Press, 1991.
I have just submitted a paper, ``A Note on the Proof Theory of the
$\lambda\Pi$-calculus'' to a journal. This paper discusses the
sequent calculus for lambdaPi and some resolution calculi that
arise from it.
I am preparing papers on these sorts of issues for Sigma types and
also for PTSs.
>
> (This message was earlier posted to the logic mailing
> list, but no responses were received.)
>
I read this list, but didn't get this message.
Sincerely,
David.
(I believe he is referring to "logic@cs.cornell.edu" moderated
by Bard Bloom. I received his earlier message to that list.
- Patrick Lincoln, linear mod)