First order rough logic-revisited

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Abstract

Based on axiomatic rough set theory, first order rough logic was developed earlier. In this paper, a new model theory for that logic is introduced. With this new semantic, first order rough logic is shown to be equivalent to first order S5, and hence consistent and complete.

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Lin, T. Y., & Liu, Q. (1999). First order rough logic-revisited. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1711, pp. 276–284). Springer Verlag. https://doi.org/10.1007/978-3-540-48061-7_34

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