Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH scholarly article en Alves, Sandra; Broda, Sabine https://www.dagstuhl.de/lipics License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
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URN: urn:nbn:de:0030-drops-91758
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A Unifying Framework for Type Inhabitation

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Abstract

In this paper we define a framework to address different kinds of problems related to type inhabitation, such as type checking, the emptiness problem, generation of inhabitants and counting, in a uniform way. Our framework uses an alternative representation for types, called the pre-grammar of the type, on which different methods for these problems are based. Furthermore, we define a scheme for a decision algorithm that, for particular instantiations of the parameters, can be used to show different inhabitation related problems to be in PSPACE.

BibTeX - Entry

@InProceedings{alves_et_al:LIPIcs:2018:9175,
  author =	{Sandra Alves and Sabine Broda},
  title =	{{A Unifying Framework for Type Inhabitation}},
  booktitle =	{3rd International Conference on Formal Structures for  Computation and Deduction (FSCD 2018)},
  pages =	{5:1--5:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-077-4},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{108},
  editor =	{H{\'e}l{\`e}ne Kirchner},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2018/9175},
  URN =		{urn:nbn:de:0030-drops-91758},
  doi =		{10.4230/LIPIcs.FSCD.2018.5},
  annote =	{Keywords: simple types, type inhabitation, rewriting, PSPACE}
}

Keywords: simple types, type inhabitation, rewriting, PSPACE
Seminar: 3rd International Conference on Formal Structures for Computation and Deduction (FSCD 2018)
Issue date: 2018
Date of publication: 04.07.2018


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