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Model theory is the branch of mathematical logic which deals with the connection between a formal language and its interpretations, or models.

3 votes
0 answers
69 views

quantifier rank and number of variables as complexity measures

Is there a property of finite structures expressible with a sentence using only 2 variables and quantifier rank n but not expressible by any sentence with more variables and quantifier rank less than …
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1 vote
1 answer
202 views

infinitary logic and partial fixed point logic

Is there a property definable in finite-variable infinitary logic $L^{\omega}_{\omega\infty}$ but not definable in partial fixed point logic FO(PFP) ?
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