Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

Since the 1930s, the theory of computation has profoundly influenced philosophical thinking about topics such as the theory of the mind, the nature of mathematical knowledge and the prospect of ...

Lance Fortnow on the current status and future outlook of solving the P-NP problem.

Computational complexity and computability are central themes in theoretical computer science that address the fundamental question of what can be computed and at what cost. Computability theory ...

Computational complexity and proof systems constitute a cornerstone of theoretical computer science, addressing both the inherent difficulty of algorithmic problems and the efficiency of formal ...

Our era is defined by a constant flow of information. Data from smartphones, wearables and environmental sensors, connected to sharing and analysis platforms, accompany us daily, creating a digital ...

The historical pursuit of creating intelligent machines has culminated in the modern era of artificial intelligence. However, the efficacy of AI applications is contingent upon a nuanced understanding ...

A major advance reveals deep connections between the classes of problems that computers can — and can’t — possibly do. At first glance, the big news coming out of this summer’s conference on the ...

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, any ...

This integration addresses the fundamental barriers that have historically limited formal verification adoption: complexity ...