Introduces a rank measure for FO logic and proves a rank-preserving Gaifman normal form, yielding a simplified proof for almost-linear time decision of FO properties on nowhere-dense structures.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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cs.LO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Extends knowing-value logic with successor arithmetic and equality; proves finite model property and completeness (strong for non-standard models, weak for standard); applies to consecutive numbers puzzle via public announcements.
citing papers explorer
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A Rank-Preserving Gaifman Normal Form
Introduces a rank measure for FO logic and proves a rank-preserving Gaifman normal form, yielding a simplified proof for almost-linear time decision of FO properties on nowhere-dense structures.
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Knowing-Value Logic with Successor Arithmetic
Extends knowing-value logic with successor arithmetic and equality; proves finite model property and completeness (strong for non-standard models, weak for standard); applies to consecutive numbers puzzle via public announcements.