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» Some Theorems We Should Prove
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CSL
2007
Springer
14 years 1 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
13 years 5 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»
13 years 11 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»
13 years 7 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
13 years 5 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...