University of Cambridge > > Logic and Semantics Seminar (Computer Laboratory) > Computational complexity of counting and closure properties of sets of tensors

Computational complexity of counting and closure properties of sets of tensors

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  • UserMiriam Backens, University of Birmingham
  • ClockWednesday 06 July 2022, 14:00-15:00
  • HouseSS03.

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Computational counting problems arise in many areas of physics, combinatorics, engineering or computer science. They are often formalised in the counting constraint satisfaction framework (#CSP, a generalisation of #SAT), or in the more general holant framework (effectively a tensor network contraction). In computational complexity, both problems are parameterised by sets of constraint functions or tensors. Replacing those sets by certain closures—called functional clones or holant clones, respectively—does not affect the computational complexity, so studying these closures is useful in classifying complexity. I will discuss the definition and certain known properties of holant clones used in exact complexity, as well as some partial progress and challenges in extending the results to approximation complexity.

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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