Ordered fragments of first-order logic
@article{Jaakkola2021OrderedFO, title={Ordered fragments of first-order logic}, author={Reijo Jaakkola}, journal={ArXiv}, year={2021}, volume={abs/2103.08046} }
Using a recently introduced algebraic framework for classifying fragments of first-order logic, we study the complexity of the satisfiability problem for several ordered fragments of first-order logic, which are obtained from the ordered logic and the fluted logic by modifying some of their syntactical restrictions. 2012 ACM Subject Classification Theory of computation → Logic
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Axiomatic bisimulations are employed to compare the relative expressive power of ordered logics, and to characterise the logics as bisimulation-invariant fragments of FO à la van Benthem, and the Craig Interpolation Property is studied.
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A research program based on an algebraic approach to systematic complexity classifications of fragments of first-order logic and beyond, which provides a comprehensive classification of the decidability and complexity of the systems obtained by limiting the allowed sets of operators.
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