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Electronic Colloquium on Computational Complexity

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Reports tagged with simulation:
TR10-028 | 4th March 2010
Miklos Ajtai

Oblivious RAMs without Cryptographic Assumptions

Revisions: 1

Abstract. We show that oblivious on-line simulation with only
polylogarithmic increase in the time and space requirements is possible
on a probabilistic (coin flipping) RAM without using any cryptographic
assumptions. The simulation will fail with a negligible probability.
If $n$ memory locations are used, then the probability of failure is ... more >>>

TR14-101 | 8th August 2014
Balthazar Bauer, Shay Moran, Amir Yehudayoff

Internal compression of protocols to entropy

Revisions: 1

We study internal compression of communication protocols
to their internal entropy, which is the entropy of the transcript from the players' perspective.
We first show that errorless compression to the internal entropy
(and hence to the internal information) is impossible.
We then provide two internal compression schemes with error.
One ... more >>>

TR21-104 | 26th June 2021
Sravanthi Chede, Anil Shukla

Does QRAT simulate IR-calc? QRAT simulation algorithm for $\forall$Exp+Res cannot be lifted to IR-calc

We show that the QRAT simulation algorithm of $\forall$Exp+Res from [B. Kiesl and M. Seidl, 2019] cannot be lifted to IR-calc.

more >>>

TR21-109 | 20th July 2021
Sravanthi Chede, Anil Shukla

QRAT Polynomially Simulates Merge Resolution.

Merge Resolution (MRes [Beyersdorff et al. J. Autom. Reason.'2021] ) is a refutational proof system for quantified Boolean formulas (QBF). Each line of MRes consists of clauses with only existential literals, together with information of countermodels stored as merge maps. As a result, MRes has strategy extraction by design. The ... more >>>

TR21-115 | 6th August 2021
Scott Aaronson, Andris Ambainis, Andrej Bogdanov, Krishnamoorthy Dinesh, Cheung Tsun Ming

On quantum versus classical query complexity

Revisions: 2

Aaronson and Ambainis (STOC 2015, SICOMP 2018) claimed that the acceptance probability of every quantum algorithm that makes $q$ queries to an $N$-bit string can be estimated to within $\epsilon$ by a randomized classical algorithm of query complexity $O_q((N/\epsilon^2)^{1-1/2q})$. We describe a flaw in their argument but prove that the ... more >>>

TR22-002 | 11th December 2021
Sravanthi Chede, Anil Shukla

Extending Merge Resolution to a Family of Proof Systems

Merge Resolution (MRes [Beyersdorff et al. J. Autom. Reason.'2021]) is a recently introduced proof system for false QBFs. Unlike other known QBF proof systems, it builds winning strategies for the universal player within the proofs. Every line of this proof system consists of existential clauses along with countermodels. MRes stores ... more >>>

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