TITLE: Is there good reference for proof complexity?
QUESTION [8 upvotes]: I am asking if there are some good or standard references for proof complexity theory? I didn't find references when I search in internet. Thanks!

REPLY [11 votes]: These are three books that I know:

Logical Foundations of Proof Complexity
Bounded Arithmetic, Propositional Logic and Complexity Theory
Logical Foundations of Mathematics and Computational Complexity, Proof complexity chapter

Also, I suggest you read the following papers:

The lengths of proofs
Bounded Arithmetic and Propositional Proof Complexity

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Update.
Jan Krajíček wrote a new book on this topic recently. You can find the final manuscript of it here.