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cs.LO2022
Order-Invariance of Two-Variable Logic is coNExpTime-complete
Bartosz Bednarczyk
We establish coNExpTime-completeness of the problem of deciding order-invariance of a given two variable first-order formula, improving and significantly simplifying coTwoNExpTime…
cs.LO2022
Towards a Model Theory of Ordered Logics: Expressivity and Interpolation (Extended version)
Bartosz Bednarczyk, Reijo Jaakkola
We consider the family of guarded and unguarded ordered logics, that constitute a recently rediscovered family of decidable fragments of first-order logic (FO), in which the order…