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Commentary by cpressey on Computational Complexity works

Computers and Tractability

The classic work presenting a compilation of many NP-complete problems.

Computational Complexity (Papadimitriou)

Really quite good book on the subject. One memory I have from it is the economical definition of Turing machines; they're defined as a 4-tuple (in contrast to other author's definitions using, say, a 7-tuple); another is the discussion early on of what metrics can be used for complexity and what can't, and how one can define pathological metrics.

Computational Complexity (Wagner and Wechsung)

Gosh, this is incredibly heavy. It's hard to imagine any individual ever owning this book; I can only imagine it belonging to a university library. That sort of book.

Why Philosophers Should Care About Computational Complexity

There's some good stuff here, but it's not all good stuff.

Mainly, this is where I discovered Cobham's P-complete formulation. It comes via another paper via another paper though, so it should really be described there.

There are a few other interesting things in this essay though. The "waterfall as computation" example, for example.

Protein folding is NP-hard

Complexity Hierarchies Beyond Elementary

I need to skim this and take some notes.

The Typed Lambda Calculus is not Elementary Recursive

Computability and Complexity (Stanford Encyclopedia of Philosophy)

Descriptive Complexity

Theory of Computing: An Open Access Electronic Journal in Theoretical Computer Science

Articles are CC-BY-something licensed.

Examples of collapsing hierarchies

Law of the Excluded Middle in complexity theory

Galactic algorithm - Wikipedia

P, NP, and beyond

Do I need to consider instance restrictions when showing a language is in P?

Cobham\'s thesis - Wikipedia

Are there any computational problems in groups that are harder than P?

Subexponentially solvable hard graph problems

A category of NP-complete problems?

P versus NP

P-versus-NP page

Computational Complexity: So You Think You Settled P verus NP

About P=NP and SAT « Gödel's Lost Letter and P=NP

PSPACE

Computational Complexity: A Simple PSPACE-Complete Problem

PR

Inverse Ackermann - primitive recursive or not?

Between mu- and primitive recursion

Is the collection of primitive recursive functions a lower set in the poset of computable functions?