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cs.LO2019
A Restricted Second-Order Logic for Non-deterministic Poly-Logarithmic Time
Flavio Ferrarotti, Senen Gonzáles, Klaus-Dieter Schewe +1
We introduce a restricted second-order logic for finite structures where second-order quantification ranges over relations of size at most poly-logari…
cs.CC2019
Proper Hierarchies in Polylogarithmic Time and Absence of Complete Problems
Flavio Ferrarotti, Senén González, Klaus-Dieter Schewe +1
The polylogarithmic time hierarchy structures sub-linear time complexity. In recent work it was shown that all classes or $\tildeΠ_{m}^{\mathit{plog}}…
cs.LO2019
Descriptive Complexity of Deterministic Polylogarithmic Time and Space
Flavio Ferrarotti, Senén González, José María Turull Torres +2
We propose logical characterizations of problems solvable in deterministic polylogarithmic time (PolylogTime) and polylogarithmic space (PolylogSpace). We introduce a novel two-sor…