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» Some Theorems We Should Prove
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CSL
2007
Springer
15 years 4 months 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
VSTTE
2010
Springer
14 years 7 months ago
Reusable Verification of a Copying Collector
Garbage collectors are very hard to implement correctly due to their low-level manipulation of memory. In this paper, we construct a copying garbage collector which we have proved ...
Magnus O. Myreen
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
15 years 2 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
DM
1998
100views more  DM 1998»
14 years 9 months ago
Upper domination and upper irredundance perfect graphs
Let β(G), Γ(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called Γperfect if β(H) = Γ(H),...
Gregory Gutin, Vadim E. Zverovich
JELIA
2010
Springer
14 years 8 months ago
Parametrized Logic Programming
Traditionally, a logic program is built up to reason about atomic first-order formulas. The key idea of parametrized logic programming is that, instead of atomic first-order form...
Ricardo Gonçalves, José Júlio...