SEMIOTIKA REFORMASI HUKUM RES REPUBLIKA, RES KONSTITUSI DAN RES KETUHANAN

North End Res

Res Judicata in California

Nucleic Acids Res

DNA microarrays enable users to obtain information on differences in transcript abundance on a massively parallel scale. Recently, however, data analyses have revealed potential pitfalls related to image acquisition, variability and misclassifications in replicate measurements, crosshybridization and sensitivity limitations. We have generated a series of analytical tools to address the manufact...

RES 162 doc FINAL. qxp4

Short $\mathsf{Res}^*(\mathsf{polylog})$ refutations if and only if narrow $\mathsf{Res}$ refutations

In this note we show that any k-CNF which can be refuted by a quasi-polynomial Res(polylog) refutation has a “narrow” refutation in Res (i.e., of poly-logarithmic width). Notice that while Res(polylog) is a complete proof system, this is not the case for Res if we ask for a narrow refutation. In particular is not even possible to express all CNFs with narrow clauses. But even for constant width...