Theory of Computation offers a rigorous mathematical framework that underpins our understanding of what can be computed and how efficiently these computations may be performed. It encompasses ...

Researchers at the Santa Fe Institute and elsewhere have spent decades developing a thermodynamic theory of computation, but previous work on the energy cost has focused on basic symbolic computations ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...

In conventional computing, we can draw a clean line between software and hardware. In brains, there is no such separation of different scales. In the brain, everything influences everything else, from ...

These prospects excite me as a theoretical physicist too, but my colleagues and I are captivated by an even bigger picture. The quantum theory of computation originated as a way to deepen our ...

The Theory of Computation explores the fundamental capabilities and limits of computing processes. It encompasses models such as finite automata, push-down machines and Turing machines, which ...