1 Search Results for "Kawata, Toru"


Document
A Contextual Reconstruction of Monadic Reflection

Authors: Toru Kawata

Published in: LIPIcs, Volume 119, 27th EACSL Annual Conference on Computer Science Logic (CSL 2018)


Abstract
With the help of an idea of contextual modal logic, we define a logical system lambda^{refl} that incorporates monadic reflection, and then investigate delimited continuations through the lens of monadic reflection. Technically, we firstly prove a certain universality of continuation monad, making the character of monadic reflection a little more clear. Next, moving focus to delimited continuations, we present a macro definition of shift/reset by monadic reflection. We then prove that lambda^{refl}_{2cont}, a restriction of lambda^{refl}, has exactly the same provability as lambda^{s/r}_{pure}, a system that incorporates shift/reset. Our reconstruction of monadic reflection opens up a path for investigation of delimited continuations with familiar monadic language.

Cite as

Toru Kawata. A Contextual Reconstruction of Monadic Reflection. In 27th EACSL Annual Conference on Computer Science Logic (CSL 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 119, pp. 27:1-27:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


Copy BibTex To Clipboard

@InProceedings{kawata:LIPIcs.CSL.2018.27,
  author =	{Kawata, Toru},
  title =	{{A Contextual Reconstruction of Monadic Reflection}},
  booktitle =	{27th EACSL Annual Conference on Computer Science Logic (CSL 2018)},
  pages =	{27:1--27:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-088-0},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{119},
  editor =	{Ghica, Dan R. and Jung, Achim},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2018.27},
  URN =		{urn:nbn:de:0030-drops-96947},
  doi =		{10.4230/LIPIcs.CSL.2018.27},
  annote =	{Keywords: Monadic Reflection, Delimited Continuations, shift/reset, Contextual Modal Logic, Curry-Howard Isomorphism}
}
  • Refine by Author
  • 1 Kawata, Toru

  • Refine by Classification
  • 1 Theory of computation → Type theory

  • Refine by Keyword
  • 1 Contextual Modal Logic
  • 1 Curry-Howard Isomorphism
  • 1 Delimited Continuations
  • 1 Monadic Reflection
  • 1 shift/reset

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2018

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail