Circuits over PP and PL

Circuits Over PP and PL

Wilson’s [19] model of oracle gates provides a framework for considering reductions whose strength is intermediate between truth-table and Turing. Improving on a stream of results by Beigel, Reingold, Spielman, Fortnow, and Ogihara [6, 9, 14], we prove that PL and PP are closed under NC1 reductions. This answers an open problem of Ogihara [14]. More generally, we show that NC k+1 = AC k and NC ...

Circuits over PP and PL 1

Wilson's (1985, J. Comput. System. Sci. 31, 169 181) model of oracle gates provides a framework for considering reductions whose strength is intermediate between truth-table and Turing. Improving on a stream of previously published results, we prove that PL and PP are closed under NC1 reductions. This answers an open problem of Ogihara (1996, ``Proc. 37th Ann. IEEE Symp. Found. Computer Sci.'')...

Topology Proceedings 2 (1977) pp. 621-630: PL HOMOLOGY 3-SPHERES AND TRIANGULATIONS OF MANIFOLDS

PL INVOLUTIONS ON THE NONORIENTABLE 2-SPHERE BUNDLE OVER Sx

We show that there are exactly nine distinct PL involutions on the nonorientable 2-sphere bundle over Sl, up to PL equivalences. This, together with results of [1], [3] and [8], classifies all PL involutions on the 2sphere bundles over S1.

PL-Geodesics on PL-Continuous Partial Meshes

Geometric characteristics of 2-manifolds embedded in R space have been analyzed from the point of view of differential geometry and topology. In the past, results relevant to these areas have been found for C curves and surfaces. However, current scientific, industrial, entertainment and medical applications, and availability of more powerful point sampling systems, press for characterization o...