Dependence Logic - A New Approach to Independence Friendly Logic

نویسنده

  • Jouko A. Väänänen
چکیده

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Compositional Natural Language Semantics using Independence Friendly Logic or Dependence Logic

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UvA - DARE ( Digital Academic Repository ) Compositional natural language semantics using Independence Friendly Logic or Dependence Logic

Independence Friendly Logic, introduced by Hintikka, is a logic in which a quantifier can be marked for being independent of other quantifiers. Dependence logic, introduced by Väänänen, is a logic with the complementary approach: for a quantifier it can be indicated on which quantifiers it depends. These logics are claimed to be useful for many phenomena, for instance natural language semantics...

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On Dependence Logic

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Dependence of variables construed as an atomic formula

Wedefine a logicD capable of expressing dependence of a variable on designated variables only. Thus D has similar goals to the Henkin quantifiers of [4] and the independence friendly logic of [6] that it much resembles. The logic D achieves these goals by realizing the desired dependence declarations of variables on the level of atomic formulas. By [3] and [17], ability to limit dependence rela...

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We study the expressive power of open formulas of dependence logic introduced in Väänänen [Dependence logic (Vol. 70 of London Mathematical Society Student Texts), 2007]. In particular, we answer a question raised by Wilfrid Hodges: how to characterize the sets of teams definable bymeans of identity only in dependence logic, or equivalently in independence friendly logic.

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عنوان ژورنال:

دوره 70  شماره 

صفحات  -

تاریخ انتشار 2007