Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#348697] of Benjamin Rossman

Papers Published

  1. Blass, A; Gurevich, Y; Rosenzweig, D; Rossman, B, Interactive small-step algorithms I: Axiomatization, Logical Methods in Computer Science, vol. 3 no. 4 (November, 2007) [doi]
    (last updated on 2022/05/21)

    In earlier work, the Abstract State Machine Thesis — that arbitrary algorithms are behaviorally equivalent to abstract state machines — was established for several classes of algorithms, including ordinary, interactive, small-step algorithms. This was accomplished on the basis of axiomatizations of these classes of algorithms. Here we extend the axiomatization and, in a companion paper, the proof, to cover interactive small-step algorithms that are not necessarily ordinary. This means that the algorithms (1) can complete a step without necessarily waiting for replies to all queries from that step and (2) can use not only the environment’s replies but also the order in which the replies were received.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320