A Proof Checking View of Parameterized Complexity

Luke Mathieson

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arXiv · 1206.2436

A Proof Checking View of Parameterized Complexity

Luke Mathieson

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Abstract

The PCP Theorem is one of the most stunning results in computational complexity theory, a culmination of a series of results regarding proof checking it exposes some deep structure of computational problems. As a surprising side-effect, it also gives strong non-approximability results. In this paper we initiate the study of proof checking within the scope of Parameterized Complexity. In particular we adapt and extend the PCP[n log log n, n log log n] result of Feige et al. to several parameterized classes, and discuss some corollaries.

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Luke Mathieson. 2012-06-12. A Proof Checking View of Parameterized Complexity. https://arxiv.org/abs/1206.2436

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