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From Normal Functors to Logarithmic Space Queries (Track B: Automata, Logic, Semantics, and Theory of Programming)

Authors Lê Thành Dũng Nguyễn , Pierre Pradic

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Author Details

Lê Thành Dũng Nguyễn
  • LIPN, UMR 7030 CNRS, Université Paris 13, Sorbonne Paris Cité, France
Pierre Pradic
  • ENS de Lyon, Université de Lyon, LIP, France
  • University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Poland

Funding

  • Nguyễn, Lê Thành Dũng: Partially supported by the Elica project (ANR-14-CE25-0005).
  • Pradic, Pierre: Partially supported by the the RAPIDO project (ANR-14-CE25-0007).

Acknowledgements

L. T. D. Nguyễn wishes to thank Damiano Mazza, Thomas Seiller and Kazushige Terui for highly instructive discussions. P. Pradic thanks Alexis Ghyselen for his valuable feedback on a first draft of this paper.

Cite AsGet BibTex

Lê Thành Dũng Nguyễn and Pierre Pradic. From Normal Functors to Logarithmic Space Queries (Track B: Automata, Logic, Semantics, and Theory of Programming). In 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 132, pp. 123:1-123:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.ICALP.2019.123

Abstract

We introduce a new approach to implicit complexity in linear logic, inspired by functional database query languages and using recent developments in effective denotational semantics of polymorphism. We give the first sub-polynomial upper bound in a type system with impredicative polymorphism; adding restrictions on quantifiers yields a characterization of logarithmic space, for which extensional completeness is established via descriptive complexity.

Subject Classification

ACM Subject Classification
  • Theory of computation → Linear logic
  • Theory of computation → Complexity theory and logic
  • Theory of computation → Finite Model Theory
Keywords
  • coherence spaces
  • elementary linear logic
  • semantic evaluation

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