Proof Complexity

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Proof complexity - In computer science, proof complexity is a measure of efficiency of automated theorem proving methods that is based on the size of the proofs they produce. The methods for proving contradiction in propositional logic are the most analyzed.

Natural proof - In computational complexity theory, natural proof is a notion introduced by Alexander Razborov and Steven Rudich, to classify the set of proofs that will fail to prove separations between complexity classes.

Interactive proof system - In computational complexity theory, an interactive proof system is an abstract machine that models computation as the exchange of messages between two parties. The parties, the verifier and the prover, interact by exchanging messages in order to ascertain whether a given string belongs to a language or not.

PCP (complexity) - In computational complexity theory, PCP is the class of decision problems having probabilistically checkable proof systems.


Suggested Web Sites

Avigad, Jeremy - Carnegie Mellon University - Proof theory, constructive mathematics, proof complexity, the history and philosophy of mathematics.

Proof, Computation, Complexity - Wilhelm-Schickard-Institut, University of Tübingen, Germany; 8--9 April 2002.

Eder, Elmar - University of Salzburg - Artificial intelligence, automated theorem proving, proof calculi and their complexities, logic programming, theoretical computer science, and complexity theory .

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