CS proofs 论文

2002引用 276
Cryptography and Data SecurityComplexity and Algorithms in Graphssemigroups and automata theory

详细信息

发表日期
2002-12-17
发表年份
2002

关键词

Cryptography and Data SecurityComplexity and Algorithms in Graphssemigroups and automata theory

摘要

This paper puts forward a computationally-based notion of proof and explores its implications to computation at large. In particular, given a random oracle or a suitable cryptographic assumption, we show that every computation possesses a short certificate vouching its correctness, and that, under a cryptographic assumption, any program for a /spl Nscr//spl Pscr/-complete problem is checkable in polynomial time. In addition, our work provides the beginnings of a theory of computational complexity that is based on "individual inputs" rather than languages.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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