Some Results in Computability Theory
نویسندگان
چکیده
منابع مشابه
Randomness in Computability Theory
We discuss some aspects of algorithmic randomness and state some open problems in this area. The rst part is devoted to the question \What is a computably random sequence?" Here we survey some of the approaches to algorithmic randomness and address some questions on these concepts. In the second part we look at the Turing degrees of Martin-LL of random sets. Finally, in the third part we deal w...
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0. INTRODUCTION. Computability is perhaps the most significant and distinctive notion modern logic has introduced; in the guise of decidability and effective calculability it has a venerable history within philosophy and mathematics. Now it is also the basic theoretical concept for computer science, artificial intelligence and cognitive science. This essay discusses, at its heart, methodologica...
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Nature was computing long before humans started. It is the algorithmic content of the universe makes it an environment we can survive in. On the other hand, computation has been basic to civilisation from the earliest times. But computability? Computability theory is computation with consciousness, and entails the huge step from doing computation to observing and analysing the activity, and und...
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ژورنال
عنوان ژورنال: The Bulletin of Symbolic Logic
سال: 2019
ISSN: 1079-8986,1943-5894
DOI: 10.1017/bsl.2019.50