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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > UNAMBIGUOUS COMPUTATIONS:
Reports tagged with unambiguous computations:
TR96-060 | 19th November 1996
Bernd Borchert, Frank Stephan

Looking for an Analogue of Rice's Theorem in Complexity Theory

Rice's Theorem says that every nontrivial semantic property
of programs is undecidable. It this spirit we show the following:
Every nontrivial absolute (gap, relative) counting property of circuits
is UP-hard with respect to polynomial-time Turing reductions.

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TR04-064 | 25th June 2004
Piotr Faliszewski

Exponential time reductions and sparse languages in NEXP

In this paper we define a many-one reduction which is allowed to work in exponential time but may only output polynomially many symbols. We show that there are no NEXP-hard sparse languages under our reduction unless EXP=UEXP.

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TR14-050 | 21st March 2014
Edward Hirsch, Dmitry Sokolov

On the probabilistic closure of the loose unambiguous hierarchy

Revisions: 1

Unambiguous hierarchies [NR93,LR94,NR98] are defined similarly to the polynomial hierarchy; however, all witnesses must be unique. These hierarchies have subtle differences in the mode of using oracles. We consider a "loose" unambiguous hierarchy $prUH_\bullet$ with relaxed definition of oracle access to promise problems. Namely, we allow to make queries that ... more >>>


TR18-088 | 24th April 2018
Ilya Volkovich

A story of AM and Unique-SAT

In the seminal work of \cite{Babai85}, Babai have introduced \emph{Arthur-Merlin Protocols} and in particular the complexity classes $MA$ and $AM$ as randomized extensions of the class $NP$. While it is easy to see that $NP \subseteq MA \subseteq AM$, it has been a long standing open question whether these classes ... more >>>




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