Abstract
In this article, we define a new variant of Cai-Fürer-Immerman construction. With this construction and some conditions of Dawar and Richerby, we are able to show that inflationary fixed point logic with counting (IFP+C) does not capture PTIME on the class of balanced graphs.
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Supported by the National Natural Science Foundation of China under Grant No. 60721061 and 60833001.
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Zhou, X. (2009). CFI Construction and Balanced Graphs. In: Deng, X., Hopcroft, J.E., Xue, J. (eds) Frontiers in Algorithmics. FAW 2009. Lecture Notes in Computer Science, vol 5598. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02270-8_12
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DOI: https://doi.org/10.1007/978-3-642-02270-8_12
Publisher Name: Springer, Berlin, Heidelberg
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