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Chris Pressey.md

Commentary by Chris Pressey

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Computational Complexity

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

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Complexity Hierarchies Beyond Elementary

I need to skim this and take some notes.

The Typed Lambda Calculus is not Elementary Recursive

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Computability and Complexity (Stanford Encyclopedia of Philosophy)

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Descriptive Complexity

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

Articles are CC-BY-something licensed.

hierarchy theorems - Examples of collapsing hierarchies - Theoretical Computer Science Stack Exchange

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lower bounds - Law of the Excluded Middle in complexity theory - Theoretical Computer Science Stack Exchange

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Galactic algorithm - Wikipedia

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P, NP, and beyond

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turing machines - Do I need to consider instance restrictions when showing a language is in P? - Computer Science Stack Exchange

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Cobham\'s thesis - Wikipedia

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gr.group theory - Are there any computational problems in groups that are harder than P? - MathOverflow

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cc.complexity theory - Subexponentially solvable hard graph problems - Theoretical Computer Science

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cc.complexity theory - A category of NP-complete problems? - Theoretical Computer Science

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P versus NP

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P-versus-NP page

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Computational Complexity: So You Think You Settled P verus NP

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

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PSPACE

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Computational Complexity: A Simple PSPACE-Complete Problem

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PR

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computability theory - Inverse Ackermann - primitive recursive or not? - MathOverflow

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Between mu- and primitive recursion - MathOverflow

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computability theory - Is the collection of primitive recursive functions a lower set in the poset of computable functions? - MathOverflow

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