Solving QSAT in sublinear depth

A Leporati, L Manzoni, G Mauri, AE Porreca… - … Conference, CMC 2018 …, 2019 - Springer
depth is needed, since depth 1 systems only allows to solve problems in , it was until now
unclear if a linear depth … that proves that QSAT can be solved with a sublinear nesting depth of …

Solving a PSPACE-complete problem with cP systems

A Henderson, R Nicolescu, MJ Dinneen - Journal of Membrane Computing, 2020 - Springer
… In this paper, we solve QSAT (also known as TQBF), which is a … 3, we present and discuss
our ruleset to solve the QSAT … cell at nesting depth 1, then b and d are at nesting depths 2 and …

Bounding the space in P systems with active membranes

C Zandron - Journal of Membrane Computing, 2020 - Springer
… nesting depth is linear with respect to the number of variables of the QSAT instance in input.
… is not strictly necessary: QSAT can be solved with a sublinear nesting depth of order n/log(n) …

P systems attacking hard problems beyond NP: a survey

P Sosík - Journal of Membrane Computing, 2019 - Springer
… of a constant depth \(d>1\) are able to solve problems in the … On the other hand, only
sub-linear depth of membrane … on membranes still be able to solve QSAT in polynomial time? …

On approximate majority and probabilistic time

E Viola - Computational Complexity, 2009 - Springer
… In particular, we prove that solving QSAT3 requires time n1+Ω(1… First, we prove that depth-3
circuits with small enough bottom … prevent us from obtaining a sublinear-time simulation. We …

[PDF][PDF] A distributed algorithm to evaluate quantified boolean formulae

R Feldmann, B Monien, S Schamberger - AAAI/IAAI, 2000 - cdn.aaai.org
… a “superlinear” speedup. The effect has already been observed for SAT (Speckenmeyer,
Monien, and Vornberger 1987) and indicates that the sequential depth… that all sequential QSAT-…

P systems with evolutional symport and membrane creation rules solving QSAT

D Orellana-Martín, L Valencia-Cabrera… - Theoretical Computer …, 2022 - Elsevier
… An efficient solution to QSAT in CCES ˆ ( 1 , 1 ) In this section, an efficient solution to QSAT
… Each P system Π ( < n , p > ) from Π solves all instances from QSAT with n variables and p …

Logarithmic sat solution with membrane computing

R Nicolescu, MJ Dinneen, J Cooper, A Henderson… - Axioms, 2022 - mdpi.com
… In this paper, we show that cP systems can theoretically solve SAT in sublinear logarithmic
… t; k counts the completed iterations of loop (2–8); and d is the nesting depth of the branches. …

[HTML][HTML] Sublinear P system solutions to NP-complete problems

MJ Dinneen, A Henderson, R Nicolescu - Theoretical Computer Science, 2023 - Elsevier
… terms), have been used to solve efficiently many NP-hard problems, … This work presents a
sublinear solution to k-SAT and … to extend our solution to k-SAT to solving QSAT (a PSPACE …

[CITATION][C] Solving a PSPACE-complete Problem with cP Systems

R Nicolescu, A Henderson, M Dinneen - 2020 - Centre for Discrete Mathematics and …