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» The Strength of Multilinear Proofs
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DAM
2007
83views more  DAM 2007»
13 years 4 months ago
The proof theoretic strength of the Steinitz exchange theorem
We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
Michael Soltys
CADE
2006
Springer
14 years 5 months ago
On the Strength of Proof-Irrelevant Type Theories
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlyi...
Benjamin Werner
COCO
2010
Springer
129views Algorithms» more  COCO 2010»
13 years 8 months ago
On the Relative Strength of Pebbling and Resolution
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
Jakob Nordström
FCT
2005
Springer
13 years 10 months ago
On the Incompressibility of Monotone DNFs
We prove optimal lower bounds for multilinear circuits and for monotone circuits with bounded depth. These lower bounds state that, in order to compute certain functions, these cir...
Matthias P. Krieger
COCO
2003
Springer
102views Algorithms» more  COCO 2003»
13 years 10 months ago
Memoization and DPLL: Formula Caching Proof Systems
A fruitful connection between algorithm design and proof complexity is the formalization of the ¤¦¥¨§©§ approach to satisfiability testing in terms of tree-like resolution...
Paul Beame, Russell Impagliazzo, Toniann Pitassi, ...