Logarithmic space and permutations

Clément Aubert, Thomas Seiller

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


In a recent work, Girard proposed a new and innovative approach to computational complexity based on the proofs-as-programs correspondence. In a previous paper, the authors showed how Girard's proposal succeeds in obtaining a new characterization of co-NL languages as a set of operators acting on a Hilbert Space. In this paper, we extend this work by showing that it is also possible to define a set of operators characterizing the class L of logarithmic space languages.

Original languageEnglish (US)
Pages (from-to)2-21
Number of pages20
JournalInformation and Computation
StatePublished - Jun 1 2016
Externally publishedYes


  • Complexity
  • Finite automata
  • Geometry of interaction
  • Linear logic
  • Logarithmic space
  • Pointer machine

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Information Systems
  • Computer Science Applications
  • Computational Theory and Mathematics


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