Skip to content

SAS

Seminar

Locality from circuit lower bounds

Schweikardt, N (Goethe-Universitšt Frankfurt)
Friday 30 March 2012, 11:30-12:30

Seminar Room 1, Newton Institute

Abstract

We study the locality of an extension of first-order logic that captures graph queries computable in AC0, i.e., by families of polynomial-size constant-depth circuits. The extension considers first-order formulas over finite relational structures which may use arbitrary numerical predicates in such a way that their truth value is independent of the particular interpretation of the numerical predicates. We refer to such formulas as Arb-invariant FO. In this talk I will show how to use circuit lower bounds for proving that Arb-invariant FO queries are Gaifman-local in the following sense: They cannot distinguish between two tuples that have the same neighborhood up to distance (log n)^c, where n represents the number of elements in the structure and c is a constant depending on the query.

Presentation

[pdf ]

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧