This book provides a general, unified approach to the theory of polyadic groups, their normal subgroups and matrix representations. The author focuses on those properties of polyadic groups which are not present in the binary case.

Various algebraic structures are investigated from the viewpoint that the initial arities of all operations are arbitrary ("polyadization" and partial arity freedom principle), and the relations between operations, arising from the ...

Linking the theory of polyadic Post algebras with logic resulted in the definition and consideration of a polyadic logic, of a model, of being semantically complete and consistent- With these concepts it was found that a necessary and ...

In spite of this result, the validity problem turns out to be highly undecidable. This is in contrast to the propositional [mu]-calculus where it is decidable in deterministic exponential time.

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