Turing machines deΓΏne polynomial time (PTime) on strings but cannot deal with structures like graphs directly, and there is no known, easily computable string encoding of isomorphism classes of structures. Is there a computation model whose machines do not distinguish between isomorphic structures a
Polynomial Time Introreducibility
β Scribed by Cintioli; Silvestri
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 133 KB
- Volume
- 36
- Category
- Article
- ISSN
- 1433-0490
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Motivated by results on interactive proof systems we investigate an 3-V-hierarchy over P using word quantifiers as well as two types of set quantifiers. This hierarchy, which extends the (arithmetic) polynomial-time hierarchy, is called the analytic polynomial-time hierarchy. It is shown that every
## Abstract We have two polynomial time results for the uniform word problem for a quasivariety __Q__: (a) The uniform word problem for __Q__ can be solved in polynomial time iff one can find a certain congruence on finite partial algebras in polynomial time. (b) Let __Q__\* be the relational class