The weak pigeonhole principle for function classes in S^1_2

Computer Science – Logic in Computer Science

Scientific paper

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11 pages

Scientific paper

10.1002/malq.200610015

It is well known that S^1_2 cannot prove the injective weak pigeonhole
principle for polynomial time functions unless RSA is insecure. In this note we
investigate the provability of the surjective (dual) weak pigeonhole principle
in S^1_2 for provably weaker function classes.

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