FUNCTIONS ON GROUPS AND COMPUTATIONAL COMPLEXITY
نویسندگان
چکیده
منابع مشابه
Functions on Groups and Computational Complexity
We give some connections between various functions defined on finitely presented groups (isoperimetric, isodiametric, Todd-Coxeter radius, filling length functions, etc.), and we study the relation between those functions and the computational complexity of the word problem (deterministic time, nondeterministic time, symmetric space). We show that the isoperimetric function can always be linear...
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Below is a translation from my Russian paper. I added references, unavailable to me in Moscow. Similar results have been also given in [Schnorr Stumpf 75] (see also [Lynch 75]). Earlier relevant work (classical theorems like Compression, Speed-up, etc.) was done in [Tseitin 56, Rabin 59, Hartmanis Stearns 65, Blum 67, Trakhtenbrot 67, Meyer Fischer 72]. I translated only the part with the state...
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We survey recent results on the asymptotic complexity of some of the fundamental computational tasks in finite groups in a variety of computational models. A striking recent feature is that techniques motivated by the problems of the more abstract models (nondeterminism, extreme parallelization) have turned out to provide powerful tools in the design of surprisingly efficient algorithms on real...
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15 صفحه اولOn Total Functions, Existence Theorems and Computational Complexity
Megiddo, N. and C.H. Papadimitriou, On total functions, existence theorems and computational complexity (Note), Theoretical Computer Science 81 (1991) 317-324. wondeterministic multivalued functions with values that are polynomially verifiable and guaranteed to exist form an interesting complexity class between P and NP. We show that this class, which we call TFNP, contains a host of important ...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2004
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196704001815