Microsoft Research Blog

English

  1. Homogeneous Optimal Fleet 

    October 2, 1982 | I. Gertsbakh and Yuri Gurevich

    The structure of chains in the optimal chain decomposition of a periodic schedule S is investigated. A finite oriented graph termed the Linis Graph (LG) is defined which serves as the key for this investigation. The edges of the LG are trip-types of S and…

  2. Automata, Trees, and Games 

    August 7, 1982 | Yuri Gurevich and Leo Harrington

    We prove a forgetful determinacy theorem saying that, for a wide class of infinitary games, one of the players has a winning strategy that is virtually memoryless: the player has to remember only bounded many bits of information. We use forgetful determinacy to give a…

  3. Existential Interpretation, II 

    July 8, 1982 | Yuri Gurevich

    A method of existential interpretation was introduced in [2]. It allows proving undecidability of modest strata of many first order theories. Here we improve the method and its presentation, strengthen somewhat the previous results and prove a couple of new results. The reader is not…

  4. Prefix Classes of Krom Formulas with Identity 

    July 7, 1982 | S. O. Aandraa, E. Boerger, and Yuri Gurevich

    Two small classes of first order formulae without function symbols but with identity, in prenex conjunctive normal form wit hall disjunctions binary, are shown to have a recursively unsolvable decision problem, whereas for another such class an algorithm is developed which solves the decision problem…

  5. On the Unique Satisfiability Problem 

    July 7, 1982 | Andreas Blass and Yuri Gurevich

    Papadimitriou and Yannakakis were interested whether Unique Sat is hard for {L - L' : L, L' are NP} when NP differs from co-NP (otherwise the answer is obvious). We show that this is true under one oracle and false under another.

  6. Monadic Theory of Order and Topology in ZFC 

    July 7, 1982 | Yuri Gurevich and Saharon Shelah

    In 1975 Annals of Mathematics Shelah interpreted true first-order arithmetic in the monadic theory of order under the assumption of the continuum hypothesis. The assumption is removed here.

  7. The Byzantine Generals Problem 

    July 5, 1982 | Leslie Lamport, Robert Shostak, and Marshall Pease

    I have long felt that, because it was posed as a cute problem about philosophers seated around a table, Dijkstra's dining philosopher's problem received much more attention than it deserves. (For example, it has probably received more attention in the theory community than the readers/writers…

  8. Proving Liveness Properties of Concurrent Programs 

    July 1, 1982 | Leslie Lamport and Susan Owicki

    During the late 70s and early 80s, Susan Owicki and I worked together quite a bit. We were even planning to write a book on concurrent program verification. But this paper is the only thing we ever wrote together. In [23], I had introduced a…