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On P Systems with Active Membranes Solving the Integer Factorization Problem in a Polynomial Time
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STOC '79 Proceedings of the eleventh annual ACM symposium on Theory of computing
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Classification of computable functions by primitive recursive classes
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On the size of programs in subrecursive formalisms
STOC '70 Proceedings of the second annual ACM symposium on Theory of computing
Classes of computable functions defined by bounds on computation: Preliminary Report
STOC '69 Proceedings of the first annual ACM symposium on Theory of computing
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Variable Complexity of Simple Programs
Fundamenta Informaticae - SPECIAL ISSUE MCU2004
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Information Processing Letters
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Anyone familiar with the theory of computability will be aware that practical conclusions from the theory must be drawn with caution. If a problem can theoretically be solved by computation, this does not mean that it is practical to do so. Conversely, if a problem is formally undecidable, this does not mean that the subcases of primary interest are impervious to solution by algorithmic methods. In the next section we describe such a class of programs, called “Loop programs.” Each Loop program consists only of assignment statements and iteration (loop) statements, the latter resembling the DO statement of FORTRAN, and special cases of the FOR and THROUGH statements of ALGOL and MAD. The bound on the running time of a Loop program is determined essentially by the length of the program and the depth of nesting of its loops.