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Gurevich was born and educated in the Soviet Union.[1] He taught mathematics there and then in Israel before moving to the United States in 1982.
The best-known work of his Soviet period is on the classical decision problem.[2]
In Israel, Gurevich worked with Saharon Shelah on
monadicsecond-ordertheories.[3]
The Forgetful Determinacy Theorem of Gurevich–Harrington is of that period as well.[4]
From 1982 to 1998, Gurevich taught computer science at the University of Michigan, where he started to work on various aspects of computational complexity theory[5]
including average case complexity.[6]
He became one of the founders of the emerging field of finite model theory.[7]
Most importantly, he became interested in the problem of what an algorithm is. This led him to the theory of abstract state machines (ASMs). The ASM Thesis says that, behaviorally, every algorithm is an ASM.[8]
A few convincing axioms enabled derivation of the sequential ASM thesis[9]
and the Church–Turing thesis.[10]
The ASM thesis has also been proven for some other classes of algorithms.[11][12]
From 1998 to 2018, Gurevich was with Microsoft Research where he founded a group on Foundations of Software Engineering. The group built Spec Explorer based on the theory of abstract state machines. The tool was adopted by the Windows team; a modified version of the tool helped Microsoft meet the European Union demands for high-level executable specifications. Later, Gurevich worked with different Microsoft groups on various efficiency, safety, and security issues,[13]
including access control,[14]
differential compression,[15]
and privacy.[16]
Since 1988, Gurevich has managed the column on Logic in Computer Science in the Bulletin of the European Association for Theoretical Computer Science.[1] Since 2013 Gurevich has worked primarily on
quantum computing,[17]
while continuing research in his traditional areas.
^ abBlass, Andreas; Dershowitz, Nachum; Reisig, Wolfgang (2010), Blass, Andreas; Dershowitz, Nachum; Reisig, Wolfgang (eds.), "Yuri, Logic, and Computer Science", Fields of Logic and Computation, Lecture Notes in Computer Science, vol. 6300, Berlin, Heidelberg: Springer Berlin Heidelberg, pp. 1–48, doi:10.1007/978-3-642-15025-8_1, ISBN 978-3-642-15024-1, retrieved 2023-07-05
^E. Börger, E. Grädel, and Y. Gurevich. The Classical Decision Problem. Springer, 1997.
^Y. Gurevich. Monadic second-order theories. In J. Barwise and S. Feferman (eds.), Model-Theoretic Logics, Springer, 1985, 479-506.
^Y. Gurevich and L. Harrington. Automata, Trees, and Games. STOC '82: Proceedings of the Fourteenth annual ACM Symposium on Theory of Computing, 1982, 60-65.
^Y. Gurevich and S. Shelah. Expected computation time for Hamiltonian Path Problem. SIAM Journal on Computing 16:3, 1987, 486-502.
^Y. Gurevich. Average case completeness. Journal of Computer and System Sciences 42:3, 1991, 346-398.
^Y. Gurevich. Toward logic tailored for computational complexity. In M Richter et al. (eds.), Computation and Proof Theory. Springer Lecture Notes in Mathematics 1104, 1984, 175-216.
^Y. Gurevich. Evolving Algebra 1993: Lipari Guide. In E. Börger (ed.), Specification and Validation Methods, Oxford University Press, 1995, 9–36. https://arxiv.org/abs/1808.06255
^Y. Gurevich. Sequential Abstract State Machines capture sequential algorithms. ACM Transactions on Computational Logic 1(1), 2000.
^N. Dershowitz and Y. Gurevich. A natural axiomatization of computability and proof of Church’s Thesis. Bulletin of Symbolic Logic 14:3, 2008, 299-350.
^A. Blass and Y. Gurevich. Abstract State Machines Capture Parallel Algorithms. ACM Transactions on Computational Logic 4(4), 2003, 578–651, and 9(3), 2008, article 19.
^A. Blass, Y. Gurevich, D. Rosenzweig, and B. Rossman. Interactive Small-Step Algorithms II: Abstract State Machines and the Characterization Theorem. Logical Methods in Computer Science 3(4), 2007, paper 4.
^A. Blass, Y. Gurevich, M. Moskal, and I. Neeman. Evidential authorization. In S. Nanz (ed), The Future of Software Engineering, Springer 2011, 77–99.
^N. Bjørner, A. Blass, and Y. Gurevich. Content-dependent chunking for differential compression: The local maximum approach. Journal of Computer Systems Science 76(3-4), 2010, 154-203.
^Y. Gurevich, E. Hudis, and J.M. Wing. Inverse privacy. Communications of the ACM 59(7), 2016, 38-42.
^A. Bocharov, Y. Gurevich, and K.M. Svore. Efficient decomposition of single-qubit gates into V basis circuits. Physical Review A 88:1, 2013.