By Andreas Blass, Nachum Dershowitz, Wolfgang Reisig
Yuri Gurevich has performed an immense function within the discovery and improvement of - plications of mathematical common sense to theoretical and sensible desktop technology. His pursuits have spanned a huge spectrum of matters, together with determination p- cedures, the monadic concept of order, summary kingdom machines, formal tools, foundations of computing device technology, safety, and lots more and plenty extra. In could 2010, Yuri celebrated his seventieth birthday. To mark that celebration, on August 22, 2010,a symposium used to be held in Brno, the Czech Republic, as a sat- lite occasion of the thirty fifth foreign Symposium on Mathematical Foundations of computing device technology (MFCS 2010) and of the nineteenth EACSL Annual convention on computing device technological know-how good judgment (CSL 2010). The assembly bought beneficiant help from Microsoft examine. In education for this seventieth birthday occasion, we requested Yuri’s colleagues (whether or now not they have been capable of attend the symposium) to give a contribution to a quantity in his honor. This booklet is the results of that e?ort. the gathering of articles herein starts with an educational biography, an annotated checklist of Yuri’s courses and experiences, and a personaltribute by means of Jan Van den Bussche. those are by way of 28 technical contributions. those articles – although they hide a huge diversity of issues – characterize just a fraction of Yuri’s a number of parts of curiosity. every one contribution was once reviewed through one or readers. during this regard, the editors desire to thank a number of nameless contributors for his or her assistance.
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Additional info for Fields of Logic and Computation: Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday
Recently inﬁnite games were used in connection to concurrent computational processes that do not necessarily terminate. For example, operating system may be seen as playing a game “against” the disruptive forces of users. The classical question of the existence of winning strategies turns out to be of importance to practice. We explain a relevant part of the inﬁnite game theory. NP. BEATCS (October 1989), 112–121. Reprinted in: Current Trends in Theoretical Computer Science. World Scientiﬁc (1993), 245–253 ?
We prove that this is indeed the case, for any monadic second-order formula P (I, X). The claim remains true if the set I of integers is replaced above with any closed subset of R. The claim fails for some open subsets. 131. Yuri Gurevich: From invariants to canonization. Originally in BEATCS 63 (October 1997). Reprinted in: Current Trends in Theoretical Computer Science, World Scientiﬁc (2001), 327–331 We show that every polynomial-time full-invariant algorithm for graphs gives rise to a polynomial-time canonization algorithm for graphs.
In addition, we reduce recursive ASMs to distributed ASMs. If desired, one can view recursive notation as mere abbreviation. 120. Andreas Blass, Yuri Gurevich, Saharon Shelah: Choiceless polynomial time. ” became a central question of ﬁnite model theory. One of us conjectured a negative answer . A related question is what portion of PTIME can be naturally captured by a computation model. g. graphs. ) Our idea is to capture the portion of PTIME where algorithms are not allowed arbitrary choice but parallelism is allowed and, in some cases, implements choice.
Fields of Logic and Computation: Essays Dedicated to Yuri Gurevich on the Occasion of His 70th Birthday by Andreas Blass, Nachum Dershowitz, Wolfgang Reisig