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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.

9 votes

Which recursively-defined predicates can be expressed in Presburger Arithmetic?

In addition to the answers above, it is worth mentioning that the existential fragment of Presburger arithmetic can actually be extended by a full divisibility predicate while retaining decidability [ …
Christoph Haase's user avatar