The axiomatic treatment of the computational complexity of partial recursive functions initiated by Blum is extended to relatively computable functions (as computed, for example, by Turing machines ...

Graph theory has long provided a robust mathematical framework for investigating networks, relations and connectivity in both abstract and applied settings. Recent advances have markedly refined our ...

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 ...

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 ...

Ashutosh Trivedi is an Associate Professor of computer science at the University of Colorado Boulder. His researchinterests lie at the intersection of computer science, control theory, and machine ...

This is a preview. Log in through your library . Abstract In the game theory approach to the problem of allocating cost, the users of a facility are viewed as players in a cooperative n-person game.

Unsupervised, model-free method preserves key data better than traditional statistical techniques for next generation cognitive ML for multi-modal data. These methods prove the utility of algorithmic ...

Their award-winning paper, “Explicit Two-Source Extractors and Resilient Functions”, tackles the long-standing challenge of generating reliable randomness from weak or flawed sources—a foundation for ...