Displaying 261 – 280 of 532

Showing per page

On computations with integer division

Bettina Just, Friedhelm Meyer auf der Heide, Avi Wigderson (1989)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

On Distributive Fixed-Point Expressions

Helmut Seidl, Damian Niwiński (2010)

RAIRO - Theoretical Informatics and Applications

For every fixed-point expression e of alternation-depth r, we construct a new fixed-point expression e' of alternation-depth 2 and size 𝒪 ( r · | e | ) . Expression e' is equivalent to e whenever operators are distributive and the underlying complete lattice has a co-continuous least upper bound. We alternation-depth but also w.r.t. the increase in size of the resulting expression.

On hardly linearly provable systems

Jaroslav Morávek (1984)

Aplikace matematiky

A well-known theorem of Rabin yields a dimensional lower bound on the width of complete polynomial proofs of a system of linear algebraic inequalities. In this note we investigate a practically motivated class of systems where the same lower bound can be obtained on the width of almost all (noncomplete) linear proofs. The proof of our result is based on the Helly Theorem.

Currently displaying 261 – 280 of 532