Studia Logica

, Volume 45, Issue 1, pp 69–75 | Cite as

On maximal intermediate logics with the disjunction property

  • Larisa L. Maksimova


For intermediate logics, there is obtained in the paper an algebraic equivalent of the disjunction propertyDP. It is proved that the logic of finite binary trees is not maximal among intermediate logics withDP. Introduced is a logicND, which has the only maximal extension withDP, namely, the logicML of finite problems.


Mathematical Logic Binary Tree Computational Linguistic Maximal Extension Intermediate Logic 
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Copyright information

© Polish Academy of Sciences 1986

Authors and Affiliations

  • Larisa L. Maksimova
    • 1
  1. 1.Institute of Mathematics Academy of Sciences of UssrNovosibirskUSSR

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