2014/05/26 by Andrey Kudinov, Valentin Shehtman, Kudinov, Andrey +1
Computer Science · #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge #Multi-Agent Systems and Negotiation #Natural Language Processing Techniques
paper · pdf · doi:10.48550/arxiv.1405.6700
openalex publication_date 2014/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this chapter we study modal logics of topological spaces in the combined language with the derivational modality and the difference modality. We give axiomatizations and prove completeness for the following classes: all spaces, T1-spaces, dense-in-themselves spaces, a zero-dimensional dense-in-itself separable metric space, Rn (n≥ 2). We also discuss the correlation between languages with different combinations of the topological, the derivational, the universal and the difference modality in terms of definability.