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How to define a linear order on finite models - MaRDI portal

How to define a linear order on finite models (Q1371431)

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scientific article; zbMATH DE number 1080828
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How to define a linear order on finite models
scientific article; zbMATH DE number 1080828

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    How to define a linear order on finite models (English)
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    7 January 1998
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    The definability of a linear order on a class of finite rigid structures is studied systematically. Among the logics considered are least fixpoint logic LFP, the logic LFP(R), where R is the Rescher quantifier, partial fixpoint logic PFP, and infinitary logic. In particular, it is shown that the minimal order partial query is implicitly definable in PFP.
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    finite model theory
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    rigid models
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    implicit definability
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    linear order
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    finite rigid structures
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    least fixpoint logic
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    Rescher quantifier
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    partial fixpoint logic
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    infinitary logic
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    minimal order partial query
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