Volume

Dagstuhl Seminar Proceedings, Volume 4381



Publication Details

  • published at: 2005-05-20
  • Publisher: Schloss-Dagstuhl - Leibniz Zentrum für Informatik

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Document
04381 Abstracts Collection – Dependently Typed Programming

Authors: Thorsten Altenkirch, Martin Hofmann, and John Hughes


Abstract
From 12.09.04 to 17.09.04, the Dagstuhl Seminar 04381 ``Dependently Typed Programming'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.

Cite as

Thorsten Altenkirch, Martin Hofmann, and John Hughes. 04381 Abstracts Collection – Dependently Typed Programming. In Dependently Typed Programming. Dagstuhl Seminar Proceedings, Volume 4381, pp. 1-8, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)


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@InProceedings{altenkirch_et_al:DagSemProc.04381.1,
  author =	{Altenkirch, Thorsten and Hofmann, Martin and Hughes, John},
  title =	{{04381 Abstracts Collection – Dependently Typed Programming}},
  booktitle =	{Dependently Typed Programming},
  pages =	{1--8},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4381},
  editor =	{Thorsten Altenkirch and Martin Hofmann and John Hughes},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04381.1},
  URN =		{urn:nbn:de:0030-drops-1864},
  doi =		{10.4230/DagSemProc.04381.1},
  annote =	{Keywords: dependently typed programming}
}
Document
Interactive Programs and Weakly Final Coalgebras in Dependent Type Theory (Extended Version)

Authors: Anton Setzer and Peter Hancock


Abstract
We reconsider the representation of interactive programs in dependent type theory that the authors proposed in earlier papers. Whereas in previous versions the type of interactive programs was introduced in an ad hoc way, it is here defined as a weakly final coalgebra for a general form of polynomial functor. The are two versions: in the first the interface with the real world is fixed, while in the second the potential interactions can depend on the history of previous interactions. The second version may be appropriate for working with specifications of interactive programs. We focus on command-response interfaces, and consider both client and server programs, that run on opposite sides such an interface. We give formation/introduction/elimination/equality rules for these coalgebras. These are explored in two dimensions: coiterative versus corecursive, and monadic versus non-monadic. We also comment upon the relationship of the corresponding rules with guarded induction. It turns out that the introduction rules are nothing but a slightly restricted form of guarded induction. However, the form in which we write guarded induction is not recursive equations (which would break normalisation – we show that type checking becomes undecidable), but instead involves an elimination operator in a crucial way.

Cite as

Anton Setzer and Peter Hancock. Interactive Programs and Weakly Final Coalgebras in Dependent Type Theory (Extended Version). In Dependently Typed Programming. Dagstuhl Seminar Proceedings, Volume 4381, pp. 1-30, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2005)


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@InProceedings{setzer_et_al:DagSemProc.04381.2,
  author =	{Setzer, Anton and Hancock, Peter},
  title =	{{Interactive Programs and Weakly Final Coalgebras in Dependent Type Theory (Extended Version)}},
  booktitle =	{Dependently Typed Programming},
  pages =	{1--30},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4381},
  editor =	{Thorsten Altenkirch and Martin Hofmann and John Hughes},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04381.2},
  URN =		{urn:nbn:de:0030-drops-1768},
  doi =		{10.4230/DagSemProc.04381.2},
  annote =	{Keywords: Dependently types programming , interactive programs , coalgebras , weakly final coalgebras , coiteration , corecursion , monad}
}

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