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Electronic Colloquium on Computational Complexity

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Reports tagged with algebraic proof systems:
TR97-048 | 13th October 1997
Soren Riis, Meera Sitharam

Non-constant Degree Lower Bounds imply linear Degree Lower Bounds

The semantics of decision problems are always essentially independent of the
underlying representation. Thus the space of input data (under appropriate
indexing) is closed
under action of the symmetrical group $S_n$ (for a specific data-size)
and the input-output relation is closed under the action of $S_n$.
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TR07-078 | 11th August 2007
Ran Raz, Iddo Tzameret

Resolution over Linear Equations and Multilinear Proofs

We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead of clauses. We demonstrate polynomial-size refutations for hard tautologies like the pigeonhole principle, Tseitin graph tautologies and the clique-coloring tautologies in these proof systems. ... more >>>

ISSN 1433-8092 | Imprint