Theory of recursive functions and effective computability
Theory of recursive functions and effective computability
A Machine-Independent Theory of the Complexity of Recursive Functions
Journal of the ACM (JACM)
Listing graphs that satisfy first-order sentences
Journal of Computer and System Sciences
Recursive Properties of Abstract Complexity Classes
Journal of the ACM (JACM)
Ordinal Hierarchies and Naming Complexity Classes
Journal of the ACM (JACM)
Independence results in Computer Science? (Preliminary Version)
STOC '80 Proceedings of the twelfth annual ACM symposium on Theory of computing
Unsolvability considerations in computational complexity
STOC '70 Proceedings of the second annual ACM symposium on Theory of computing
Recursive properties of abstract complexity classes (Preliminary Version)
STOC '70 Proceedings of the second annual ACM symposium on Theory of computing
Tape- and time-bounded Turing acceptors and AFLs (Extended Abstract)
STOC '70 Proceedings of the second annual ACM symposium on Theory of computing
Speed-ups by changing the order in which sets are enumerated (Preliminary Version)
STOC '69 Proceedings of the first annual ACM symposium on Theory of computing
The intensional content of Rice's theorem
Proceedings of the 35th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Theory of computing in computer science education
AFIPS '72 (Spring) Proceedings of the May 16-18, 1972, spring joint computer conference
The enumerability and invariance of complexity classes
Journal of Computer and System Sciences
Time- and tape-bounded turing acceptors and AFLs
Journal of Computer and System Sciences
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An attempt is made to show that there is much work in pure recursion theory which implicitly treats computational complexity of algorithmic devices which enumerate sets. The emphasis is on obtaining results which are independent of the particular model one uses for the enumeration technique and which can be obtained easily from known results and known proofs in pure recursion theory.First, it is shown that it is usually impossible to define operators on sets by examining the structure of the enumerating devices unless the same operator can be defined merely by examining the behavior of the devices. However, an example is given of an operator which can be defined by examining the structure but which cannot be obtained merely by examining the behavior.Next, an example is given of a set which cannot be enumerated quickly because there is no way of quickly obtaining large parts of it (perhaps with extraneous elements). By way of contrast, sets are constructed whose elements can be obtained rapidly in conjunction with the enumeration of a second set, but which themselves cannot be enumerated rapidly because there is no easy way to eliminate the members of the second set.Finally, it is shown how some of the elementary parts of the Hartmanis-Stearns theory can be obtained in a general setting.