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Model-checking positive equality free logic on a fixed structure (direttissima)

Model-checking positive equality free logic on a fixed structure (direttissima)

We give a new, direct proof of the tetrachotomy classification for the model-checking problem of positive equality-free logic parameterised by the model. The four complexity classes are Logspace, NP-complete, co-NP-complete and Pspace-complete. The previous proof of this result relied on notions from universal algebra and core-like structures called U-X-cores. This …