MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  The Query Complexity of Program Checking by Constant-Depth Circuits

Download:
Download as a PDF | Download as a PS
by V. Arvind, K. V. Subrahmanyam, N. V. Vinodchandran
http://www.brics.dk/~vinod/papers/checking.ps
Add To MetaCart

Abstract:

In this paper we study program checking (in the sense of Blum and Kannan [7]) using AC 0 circuits as checkers. Our focus is on the number of queries made by the checker to the program being checked and we term this as the query complexity of the checker for the given problem. We study the query complexity of both deterministic and randomized AC 0 checkers. We show that, for each ffl? 0, \Omega\Gamma n

Citations

692 The Knowledge Complexity of Interactive Proof-Systems (Extended Abstract – Goldwasser, Micali, et al. - 1985
259 Designing programs that check their work – Blum, Kannan - 1989
233 Self-testing/correcting with applications to numerical problems – Blum, Luby, et al. - 1993
182 M.Szegedy. Proof verification and intractability of approximation problems – Arora, Lund, et al. - 1998
125 Computational limitations on small depth circuits – HËšastad - 1986
96 Sigma 1 -formulae on finite structures – Ajtai - 1983
8 Efficient checkers for number-theoretic computations – Adleman, Huang, et al. - 1995
3 oning, Robust algorithms: a different approach to oracles – Sch - 1985
1 Constructivizing membership proofs in complexity classes – Arvind - 1997