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 ...
Algorithmic randomness and computability theory inhabit a crossroads between mathematics and computer science, providing a rigorous framework for understanding randomness in infinite sequences and ...
Initially discussed are some of Alan Turing's wonderfully profound and influential ideas about mind and mechanism—including regarding their connection to the main topic of the present study, which is ...
P versus NP and Computability Theoretic Constructions in Complexity Theory over Algebraic Structures
This is a preview. Log in through your library . Abstract We show that there is a structure of countably infinite signature with $P = N_{2}P$ and a structure of ...
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