Schöning earned his Ph.D. from the University of Stuttgart in 1981, under the supervision of Wolfram Schwabhäuser. He is a professor in the Institute for Theoretical Informatics at the University of Ulm.
In a 1999 FOCS paper, Schöning showed that WalkSAT, a randomized algorithm previously analyzed for 2-satisfiability by Papadimitriou, had good expected time complexity (although still exponential) when applied to worst-case instances of 3-satisfiability and other NP-complete constraint satisfaction problems. At the time this was the fastest guaranteed time bound for 3SAT; subsequent research has built on this idea to develop even faster algorithms.
Schöning is also the inventor of the pedagogical programming languagesLOOP, GOTO, and WHILE, which he described in his textbook Theoretische Informatik - kurz gefasst.
Selected publications
Schöning is the author or editor of many books in computer science, including
Complexity and Structure (Springer, Lecture Notes in Computer Science 211, 1985).
Logik für Informatiker (in German, Reihe Informatik, 1987; 5th ed., Springer, 2000). Translated into English as Logic for Computer Scientists (Birkhäuser, 1989).
Theoretische Informatik - kurz gefasst (in German, BI-Wiss.-Verlag, 1992; 5th ed., Spektrum, 2008)
The Graph Isomorphism Problem: Its Structural Complexity (with J. Köbler and J. Toran, Birkhäuser, 1993).
Perlen der Theoretischen Informatik (in German, Bibl. Institut Wissenschaftsverlag, 1995). Revised and Translated into English as Gems of Theoretical Computer Science (with R. J. Pruim, Springer, 1998).
Algorithmen - kurz gefasst (in German, Spektrum, 1997).
Algorithmik (in German, Spektrum, 2001).
Ideen der Informatik (in German, Oldenbourg, 2002, 2nd ed. 2005).
Mathe-Toolbox - Mathematische Notationen, Grundbegriffe und Beweismethoden (Lehmanns, 2010).
Kryptologie-Kompendium (Lehmanns, 2012).
Das Erfüllbarkeitsproblem SAT - Algorithmen und Analysen (with J. Toran, in German, Lehmanns, 2012). Translated into English as The Satisfiability Problem - Algorithms and Analyses (Lehmanns, 2013).
His research articles include:
Schöning, Uwe (1983), "A low and a high hierarchy within NP", Journal of Computer and System Sciences, 27 (1): 14–28, doi:10.1016/0022-0000(83)90027-2, MR 730913.
Schöning, Uwe (1988), "Graph isomorphism is in the low hierarchy", Journal of Computer and System Sciences, 37 (3): 312–323, doi:10.1016/0022-0000(88)90010-4, MR 975447.
Schoning, U. (1999), "A probabilistic algorithm for k-SAT and constraint satisfaction problems", Proceedings of 40th Annual Symposium on Foundations of Computer Science, pp. 410–414, doi:10.1109/SFFCS.1999.814612.
