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Results tagged with computational-complexity
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user 8846
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.
3
votes
Finite objects for which isomorphism is NP-hard or harder?
Perhaps this is not exactly what you meant, but isomorphism testing of succinct graphs is known to be hard for PSPACE; that is, succinct graphs are ones given implicitly by a circuit $C$ where $C(u,v) …
- 539
2
votes
Constructing hard inputs for the complement of bounded halting
No, such $\langle N', x'\rangle$ is not constructible at all given only a description of $M$, even if you remove the requirement of polynomial time.
Suppose that $CONSTRUCT$ is such a deterministic t …
- 539
2
votes
1
answer
151
views
Polynomial degree comparison of Nullstellensatz and Positivstellensatz over real algebraic sets
Suppose we have a (finite) system of polynomials $P = \{ p_i \} \subseteq \mathbb{R}[x_1, \ldots, x_n]$. Then it is well known by the Nullstellensatz that either $P$ has a simultaneous zero over $\mat …
- 539