Mathematical Logic, Algorithms and Applications

Dear Colleagues,

Mathematical logic and algorithms is a thriving field of mathematics with a considerable variety of applications.

The volume accepts high-quality papers presenting original research on mathematical logic and algorithms that focus mainly (but not only) on descriptive set theory, non-standard analysis, definability, and forcing, as well as discrete optimization, including optimization by exact algorithms of polynomial computational complexity (linear or close to them ) or, by contrast, NP-hardness of the corresponding problem. Papers on the complexity of objects (words and graphs) and of the distance between them, on the complexity of computations, on proof theory (in particular as generalized computations), on non-classical and modal logic, and (especially) related theories, including intuitionistic set theory, are also welcome.

We invite papers related to applications of mathematical logic and algorithms to mathematical biology, bioinformatics, theoretical medicine, mathematical physics, to problems of artificial intelligence (knowledge representation, pattern recognition, image analysis and understanding, etc.), and to challenges of finding information quickly and efficiently by accessing big data repositories.

Papers devoted to the conceptual and philosophical aspects of these fundamental and applied problems are also welcome.

Papers devoted to theoretical and applied aspects of programming (especially for distributed and supercomputer systems) and heuristic techniques that ensure efficient computing and work with big data will be met with special attention and interest. Finally, examples of large projects carried out using supercomputer computing are also included in the area of interest.

These topics, both fundamental and applied, cover many important modern trends.

This Special Issue will be a continuation of the Special Issues "Mathematical Logic and Its Applications 2020" and "Mathematical Logic and Its Applications 2021".

Prof. Dr. Vassily Lyubetsky
Prof. Dr. Vladimir Kanovei
Prof. Dr. Su Gao
Guest Editors

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