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- W3186139236 abstract "QCDCL is one of the main algorithmic paradigms for solving quantified Boolean formulas (QBF). We design a new technique to show lower bounds for the running time in QCDCL algorithms. For this we model QCDCL by concisely defined proof systems and identify a new width measure for formulas, which we call gauge. We show that for a large class of QBFs, large (e.g. linear) gauge implies exponential lower bounds for QCDCL proof size. We illustrate our technique by computing the gauge for a number of sample QBFs, thereby providing new exponential lower bounds for QCDCL. Our technique is the first bespoke lower bound technique for QCDCL." @default.
- W3186139236 created "2021-08-02" @default.
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- W3186139236 date "2021-01-01" @default.
- W3186139236 modified "2023-10-06" @default.
- W3186139236 title "Lower Bounds for QCDCL via Formula Gauge" @default.
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- W3186139236 doi "https://doi.org/10.1007/978-3-030-80223-3_5" @default.
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