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CSL
2007
Springer
16 years 23 days ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
ACL
2007
15 years 8 months ago
Optimizing Grammars for Minimum Dependency Length
We examine the problem of choosing word order for a set of dependency trees so as to minimize total dependency length. We present an algorithm for computing the optimal layout of ...
Daniel Gildea, David Temperley
WG
2005
Springer
16 years 2 days ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood
DM
2008
137views more  DM 2008»
15 years 6 months ago
Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs
Let G = (V, E) be a graph. A set S V is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex of V - S is adjacent to a vertex in V - S....
Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Jo...
APAL
2008
69views more  APAL 2008»
15 years 6 months ago
Lowness properties and approximations of the jump
We study and compare two combinatorial lowness notions: strong jump-traceability and well-approximability of the jump, by strengthening the notion of jump-traceability and super-l...
Santiago Figueira, André Nies, Frank Stepha...