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Symmetric Computation (Invited Talk)

Author Anuj Dawar

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Author Details

Anuj Dawar
  • Department of Computer Science and Technology, University of Cambridge, U.K.

Funding

  • Dawar, Anuj: Research funded in part by EPSRC grant EP/S03238X/1.

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Anuj Dawar. Symmetric Computation (Invited Talk). In 28th EACSL Annual Conference on Computer Science Logic (CSL 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 152, pp. 2:1-2:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.CSL.2020.2

Abstract

We discuss a recent convergence of notions of symmetric computation arising in the theory of linear programming, in logic and in circuit complexity. This leads us to a coherent and robust definition of problems that are efficiently and symmetrically solvable. This is at once a rich class of problems and one for which we have methods for proving lower bounds. In this paper, we take a tour through results which show applications of these methods in a number of areas.

Subject Classification

ACM Subject Classification
  • Theory of computation → Circuit complexity
  • Theory of computation → Complexity theory and logic
  • Theory of computation → Finite Model Theory
  • Theory of computation → Complexity classes
Keywords
  • Descriptive Complexity
  • Fixed-point Logic with Counting
  • Circuit Complexity
  • Linear Programming
  • Hardness of Approximation
  • Arithmetic Circuits

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