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On ACC0[pk] Frege proofs
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twenty-ninth annual ACM symposium on Theory of computing table of contents
El Paso, Texas, United States
Pages: 720 - 729  
Year of Publication: 1997
ISBN:0-89791-888-6
Authors
Alexis Maciel  Dept. of Computer Science and UMIACS, University of Maryland, College Park, MD
Toniann Pitassi  Department Computer Science, University of Arizona, Tucson, AZ
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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Al
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BC
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BIKPP
P. Beame, R. impagliazzo, J. Kraji~ek , T. Pitassi, and P. Pudl~k, "Lower bounds on Hilbert's Nullstellensatz and propositional proofs," Proc. of the London Math. Soc. To appear.
 
BIKPRS
S. Buss, R. Impagliazzo, J. Krajf~ek, P. Pudlak, A. A. Razborov, and J. Sgall, "Proof complexity in algebraic systems and bounded-depth Frege systems with modular counting," Manuscript 1996.
BPR
 
BP
P. Beame, and T. Pitassi, "An exponential separation between the matching principle and the pigeonhole principle," To appear in Annals of Pure and Applied Logic.
 
BT
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H
Haken, A. "The intractability of Resolution," Theoret. Comput. Sci., 39, 1985, 297-308.
 
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IP
Impagliazzo, R., and Pitassi, T., "Interpolation theorems for generalized Cutting Planes," Typeset manuscript, 1996.
 
K1
 
K2
Krajff:ek J., "Interpolation theorems, lower bounds for proof systems and independence results for bounded arithmetic", to appear in the Journal of Symbolic Logic.
 
Kraj
Krajff:ek J., "Discretely ordered modules as a first-order extension of the cutting planes system," Submitted.
 
P1
Pudl~k , P. "Lower bounds for resolution and cutting planes proofs and monotone computation," Journal of Symbolic Logic, To appear.
 
PS
Pudl~ik , P. and Sgall, J., "Algebraic models of computation and interpolation for algebraic proof systems," Manuscript, 1996.
 
Ra1
A. Razborov, "Lower bounds for the size of circuits of bounded depth with basis { AND, PARITY }," Math. Notes of the A cad. of Sciences of the USSR, 41(4), a33-338, 1987.
 
Ra2
A. Razborov, "Unprovability of lower bounds on the circuit size in certain fragments of bounded arithmetic," Izvestiya of the R.A.N., 59(1), 201-224.
 
Ra3
A. Razborov, "Lower bounds for the polynomial calculus," Manuscript, November 1996.
 
Re
K. Regan, "Efficient reductions from NP to Parity using Error-correcting codes," TR 93-24, Dept. of Computer Science, State University of New York, Buffalo, 1993.
 
Ri
S. Riis, "Count(q) does not imply Count(p),' Manuscript 1995.
Si
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W
Wigderson, A., "Lectures on the Fusion Method and Derandomization", Technical Report SOCS- 95.2, School of Computer Sci., McGill University, Montr6al, Qu6bec, Canada, 1994.
 
Y
A. Yao, "On ACC and Threshold circuits," In Proc. 31st IEEE FOGS, 619-627, 1990.

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Toniann Pitassi: colleagues

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