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JSYML
2008
73views more  JSYML 2008»
15 years 6 months ago
Examining fragments of the quantified propositional calculus
When restricted to proving q i formulas, the quantified propositional proof system G i is closely related to the b i theorems of Buss's theory Si 2. Namely, G i has polynomial...
Steven Perron
166
Voted
STOC
1994
ACM
134views Algorithms» more  STOC 1994»
15 years 10 months ago
A coding theorem for distributed computation
Shannon's Coding Theorem shows that in order to reliably transmit a message of T bits over a noisy communication channel, only a constant slowdown factor is necessary in the ...
Sridhar Rajagopalan, Leonard J. Schulman
IJCAI
2003
15 years 7 months ago
Practical Partition-Based Theorem Proving for Large Knowledge Bases
Query answering over commonsense knowledge bases typically employs a first-order logic theorem prover. While first-order inference is intractable in general, provers can often b...
Bill MacCartney, Sheila A. McIlraith, Eyal Amir, T...
JUCS
2010
110views more  JUCS 2010»
15 years 28 days ago
On Choice Principles and Fan Theorems
: Veldman proved that the contrapositive of countable binary choice is a theorem of full-fledged intuitionism, to which end he used a principle of continuous choice and the fan the...
Hannes Diener, Peter Schuster
RANDOM
1997
Springer
15 years 10 months ago
A Combinatorial Consistency Lemma with Application to Proving the PCP Theorem
The current proof of the PCP Theorem (i.e., NP = PCP(log, O(1))) is very complicated. One source of difficulty is the technically involved analysis of low-degree tests. Here, we r...
Oded Goldreich, Shmuel Safra