Complexity Theory: The study of the resources required for solving computational problems, classifying them based on time, space, and other measures.

The theory of computation has had a profound influence on philosophical thinking. But computational complexity theory is about to have an even bigger effect, argues one computer scientist.

The field includes algorithms, data structures, complexity theory, distributed computation, parallel computation, VLSI, machine learning, computational biology, computational geometry, information ...

In computational complexity theory, P and NP are two classes of problems. P is the class of decision problems that a deterministic Turing machine can solve in polynomial time. In useful terms… ...

Interactive proofs and complexity class IP (Computational Complexity by Sanjeev Arora and Boaz Barak) PCP Theorem and hardness of Approximation (Computational Complexity by Sanjeev Arora and Boaz ...

A proof had appeared online at the esteemed journal ACM Transactions on Computational Theory, which trades in “outstanding original research exploring the limits of feasible computation.” ...

Description This course covers polynomial-time hierarchy and polynomial space, circuit complexity, structure of NP, probabilistic machines and complexity classes, complexity of counting, interactive ...

If simple rules lead to unpredictable outcomes and deep complexity in the game of Life, why not in real life? And the universe?