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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.

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A natural problem on "cartesian union" of set families (hypergraphs). Are there NP-complete ...

As a combinatorial problem, CDU was considered in detail (for clutters) by Billera, who attributes its solution to Shapley. Louis J. Billera, On the Composition and Decomposition of Clutters. J. Comb …
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