Two-variable logic: Difference between revisions

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added a small section on the WL algorithm (more to come)
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== Connection to the Weisfeiler-Leman algorithm ==
There is a strong connection between two-variable logic and the Weisfeiler-Leman (or color refinement) algorithm. Given two graphs, then any two nodes have the same stable color in color refinement if and only if they have the same ''<math>C^2''</math> type, that is, they satisfy the same formulas in two-variable logic with counting<ref>Grohe, Martin. "Finite variable logics in descriptive complexity theory." Bulletin of Symbolic Logic 4.4 (1998): 345-398.</ref?>.
 
== References ==