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Article #39This weeks student theory meeting
From: vincent
Date: Thu, 23 Nov 1989 19:06
Date: Thu, 23 Nov 1989 19:06
20 lines
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1224 bytes
Student Theory Meeting This week's theory meeting will be held in the Seminar Room (SF 3207) at 3pm, Friday. This week Pekka Orponen will give a talk on the structural complexity of problems. ABSTRACT We introduce a measure for the computational complexity of individual instances of a computational problem and study its properties. Intuitively, instances solved quickly by small special-case programs are easy, whereas instances whose solution in a given time limit requires a large program (or, trivially, table look-up) are hard. Formalizing this idea we obtain, among other things, natural characterizations of the class P and the class of P-immune sets. Further results include: the complexity of SAT instances grows at a logarithmic rate iff P = NP, and if EXPTIME \neq NEXPTIME, then SAT has infinitely many "hard" instances (i.e., ones that cannot be solved quickly essentially better than by table look-up).
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Path: arc1-ca.pugleaf.net!utzoo!attcan!utgpu!jarvis.csri.toronto.edu!neat.cs.toronto.edu!vincent From: vincent@cs.toronto.edu Newsgroups: ut.theory Subject: This weeks student theory meeting Message-ID: <89Nov23.140544est.2836@neat.cs.toronto.edu> Date: 23 Nov 89 19:06:24 GMT Lines: 20