Notre Dame Journal of Formal Logic

Forcing Complexity: Minimum Sizes of Forcing Conditions

Toshio Suzuki


This note is a continuation of our former paper ''Complexity of the r-query tautologies in the presence of a generic oracle.'' We give a very short direct proof of the nonexistence of t-generic oracles, a result obtained first by Dowd. We also reconstitute a proof of Dowd's result that the class of all r-generic oracles in his sense has Lebesgue measure one.

Article information

Notre Dame J. Formal Logic Volume 42, Number 2 (2001), 117-120.

First available in Project Euclid: 5 June 2003

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Zentralblatt MATH identifier

Primary: 68Q15: Complexity classes (hierarchies, relations among complexity classes, etc.) [See also 03D15, 68Q17, 68Q19]
Secondary: 03D15: Complexity of computation (including implicit computational complexity) [See also 68Q15, 68Q17]

computational complexity t-generic oracle


Suzuki, Toshio. Forcing Complexity: Minimum Sizes of Forcing Conditions. Notre Dame J. Formal Logic 42 (2001), no. 2, 117--120. doi:10.1305/ndjfl/1054837938.

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