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» The Expressivity of Quantifying over Regions
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LOGCOM
2006
66views more  LOGCOM 2006»
13 years 4 months ago
The Expressivity of Quantifying over Regions
We categorize in recursion-theoretic terms the expressivity of a number of first-order languages that allow quantification over regions in Euclidean space. Specifically we show th...
Ernest Davis
FUIN
2010
83views more  FUIN 2010»
13 years 1 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
LICS
2010
IEEE
13 years 2 months ago
On the Strictness of the First-Order Quantifier Structure Hierarchy over Finite Structures
One of the major interests of finite model theory is to separate the expressive power of different logics or fragments of logics. In this paper, we define a variant of EhrenfeuchtF...
Yuguo He
ATAL
2008
Springer
13 years 6 months ago
Quantifying over coalitions in epistemic logic
Some natural epistemic properties which may arise in applications can only be expressed in standard epistemic logic by formulae which are exponentially long in the number of agent...
Thomas Ågotnes, Wiebe van der Hoek, Michael ...
AAAI
2006
13 years 6 months ago
Goal Specification, Non-Determinism and Quantifying over Policies
One important aspect in directing cognitive robots or agents is to formally specify what is expected of them. This is often referred to as goal specification. Temporal logics such...
Chitta Baral, Jicheng Zhao