Journal of Logic, Language and Information

, Volume 6, Issue 4, pp 441–452 | Cite as

Dynamic Relation Logic Is the Logic of DPL-Relations

  • Albert Visser

Abstract

In this paper we prove that the principles in the languagewith relation composition and dynamic implication, valid forall binary relations, are the same ones as the principlesvalid when we restrict ourselves to DPL-relations,i.e. relations generated from conditions (tests) and resettings.

dynamics Predicate Logic RelationAlgebra relation resetting bisimulation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. van Benthem, J.F.A.K., 1993, "Program constructions that are safe for bisimulation," CSLI Report 93-179, CSLI, Stanford University, Stanford, to appear in Proceedings Logic Colloquium, Clermont Ferrant, 1994, Studia Logica.Google Scholar
  2. van Benthem, J.F.A.K. and Ceparello, G., 1994, "Tarskian variations. Dynamic parameters in classical semantics," CS R9419, Amsterdam: CWI.Google Scholar
  3. Blackburn, P. and Venema, Y., 1995, "Dynamic squares," Journal of Philosophical Logic 24(5), 469–523.Google Scholar
  4. Groenendijk, J. and M. Stokhof, M., 1991, "Dynamic predicate logic," Linguistics and Philosophy 14, 39–100.Google Scholar
  5. Hollenberg, M.J., "Safety for bisimulation in general modal logic," pp. 359–376 in Proceedings of the 10th Amsterdam Colloquium, Part II, P. Dekker et al., eds., Amsterdam: ILLC, Department of Philosophy, University of Amsterdam.Google Scholar
  6. Hollenberg, M.J., 1997, "An equational axiomatisation of dynamic negation and relational composition," Journal of Logic, Language, and Information, this issue.Google Scholar
  7. Kamp, H., 1981, "A theory of truth and semantic representation," in Formal Methods in the Study of Language, J. Groenendijk et al., eds., Amsterdam: Mathematisch Centrum.Google Scholar
  8. Visser, A., 1995, "Contexts for dynamic predicate logic," Logic Group Preprint Series 143, Department of Philosophy, Utrecht University, Heidelberglaan 8, 3584 CS Utrecht, October 1995, to appear in Journal of Logic, Language, and Informationspecial issue on Contexts.Google Scholar

Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Albert Visser
    • 1
  1. 1.Department of PhilosophyUtrecht UniversityUtrechtthe Netherlands

Personalised recommendations