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P versus NP and other resource-bounded computation.

1 vote

Should we consider $\mathsf{P} \neq \mathsf{NP}$ a law of nature?

The statement P≠NP can encoded as a statement $\phi$ about natural numbers. Since $\phi$ is either true or false about the naturals, the answer to the question is a purely mathematical one. This is de …
Thinniyam Srinivasan Ramanatha's user avatar
6 votes
1 answer
342 views

Bounded computation and incompleteness

Is there a complete theory T over a logical language L such that bounded computation may be encoded in it? Computational questions can be framed as arithmetical ones by interpreting them over natural …
8 votes
3 answers
678 views

Decision problems vs functions

Complexity theory seems to be built around decision problems rather than functions. Who introduced this first and what is the reason for this choice? For example, Edmonds' "Paths, trees and flowers …