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On the Bit-Comprehension Rule

Published online by Cambridge University Press:  31 March 2017

Jan Johannsen
Affiliation:
Dept. of Mathematics U.C. San Diego
Chris Pollett
Affiliation:
Clark University Worcester, MA, USA
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 262 - 279
Publisher: Cambridge University Press
Print publication year: 2000

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References

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J., Johannsen and C., Pollett. On proofs about threshold circuits and counting hierarchies (extended abstract). In Proc. 13th IEEE Symposium on Logic in Computer Science, pages 444–452, 1998.
J., Krajíček. Bounded Arithmetic, Propositional Logic and Complexity Theory. Cambridge University Press, 1995.
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J., Krajíček, P., Pudlák, and G., Takeuti. Bounded arithmetic and the polynomial hierarchy. Annals of Pure and Applied Logic, 52:143–153, 1991.Google Scholar
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G., Takeuti. RSUV isomorphisms. In P., Clote and J., Krajíček, editors, Arithmetic, Proof Theory and Computational Complexity, volume 23 of Oxford LogicGuides, pages 364–386. Clarendon Press, Oxford, 1993.

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