History of SelfTestingCorrecting

ClassS04CS141 | recent changes | Preferences

Difference (from prior major revision) (no other diffs)

Changed: 96c96

SELF-CHECK ALGORITHM(F):

ALGORITHM SELF-CHECK-DIAG(F):

Changed: 107,108c107,108

LEMMA: If F is a diagonal linear function, then SELF-CHECK(F) (above) passes.
If F is not an approximately diagonal linear function, then SELF-CHECK(F) fails with probability at least 50%.

LEMMA: If F is a diagonal linear function, then SELF-CHECK-DIAG(F) (above) passes.
If F is not an approximately diagonal linear function, then SELF-CHECK-DIAG(F) fails with probability at least 50%.

Changed: 110c110

If F is diagonal linear, then SELF-CHECK clearly passes.

If F is diagonal linear, then SELF-CHECK-DIAG clearly passes.

Changed: 126c126

Thus, if G is not diagonal linear, then each of the last three checks made by the SELF-CHECK algorithm

Thus, if G is not diagonal linear, then each of the last three checks made by the SELF-CHECK-DIAG algorithm

Changed: 131c131

Thus, if G is not diagonal linear, then the SELF-CHECK will fail with probability at least 1-(1-7/40)³ > 1/2.

Thus, if G is not diagonal linear, then the SELF-CHECK-DIAG will fail with probability at least 1-(1-7/40)³ > 1/2.

Changed: 140c140

* M. Blum, M. Luby, and R. Rubinfeld. Self-testing/correcting with applications to numerical problems. In Proc. 22nd ACM Symp. on Theory of Computing, pages 73-83, 1990.

	Revision 10 . . February 10, 2004 6:48 pm by NealYoung
	Revision 9 . . February 10, 2004 4:10 pm by Neal