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Quantifier rank

In mathematical logic, the quantifier rank of a formula is the depth of nesting of its quantifiers. It plays an essential role in model theory… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Strategy Logic (SL) is a logical formalism for strategic reasoning in multi-agent systems. Its main feature is that it has… 
2012
2012
An uncertain database db is defined as a database in which distinct tuples of the same relation can agree on their primary key. A… 
2011
2011
We show that for each n and m, there is an existential first order sentence that is NOT logically equivalent to a sentence of… 
Review
2008
Review
2008
We survey two basic techniques for showing that the monadic second-order theory of a structure is decidable. In the first… 
2007
2007
Ehrenfeucht-Fraisse games have been introduced as a means of characterizing the relation of elementary equivalence between… 
2007
2007
We write strategies for both players in the Ehrenfeucht-Fraisse game played between two linear orders. We prove that our… 
2005
2005
We show that if M is a strongly minimal large homogeneous structure in a countable similarity type and the pregeometry of M is… 
Highly Cited
2005
Highly Cited
2005
  • Benjamin Rossman
  • 2005
  • Corpus ID: 18553513
We prove the finite homomorphism preservation theorem: a first-order formula is preserved under homomorphisms on finite… 
2005
2005
We prove a local normal form theorem of the Gaifman type for the infinitary logic L∞ω(Qu)ω whose formulas involve arbitrary unary… 
2001
2001
We will answer questions due to Blass and Gurevich (2000) on definability of order in the first-order logic with Hilbert's…