Logic programming and logarithmic space

CléMent Aubert, Marc Bagnol, Paolo Pistone, Thomas Seiller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

We present an algebraic view on logic programming, related to proof theory and more specifically linear logic and geometry of interaction. Within this construction, a characterization of logspace (deterministic and non-deterministic) computation is given via a syntactic restriction, using an encoding of words that derives from proof theory.

We show that the acceptance of a word by an observation (the counterpart of a program in the encoding) can be decided within logarithmic space, by reducing this problem to the acyclicity of a graph. We show moreover that observations are as expressive as two-ways multihead finite automata, a kind of pointer machine that is a standard model of logarithmic space computation.

Original languageEnglish (US)
Title of host publicationProgramming Languages and Systems - 12th Asian Symposium, APLAS 2014, Proceedings
EditorsJacques Garrigue
PublisherSpringer Verlag
Pages39-57
Number of pages19
ISBN (Electronic)9783319127354
DOIs
StatePublished - 2014
Event12th Asian Symposium on Programming Languages and Systems, APLAS 2014 - Singapore, Singapore
Duration: Nov 17 2014Nov 19 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8858
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other12th Asian Symposium on Programming Languages and Systems, APLAS 2014
CountrySingapore
CitySingapore
Period11/17/1411/19/14

Keywords

  • Automata
  • Geometry of interaction
  • Implicit complexity
  • Logarithmic space
  • Logic programming
  • Pointer machines
  • Proof theory
  • Unification

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Aubert, C., Bagnol, M., Pistone, P., & Seiller, T. (2014). Logic programming and logarithmic space. In J. Garrigue (Ed.), Programming Languages and Systems - 12th Asian Symposium, APLAS 2014, Proceedings (pp. 39-57). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8858). Springer Verlag. https://doi.org/10.1007/978-3-319-12736-1_3