Naslov
Interactive Small-Step Algorithms II: Abstract State Machines and the Characterization Theorem

Autori
Blass, Andreas ; Gurevich, Yuri ; Rosenzweig, Dean ; Rossman, Benjamin

Izvornik
Logical Methods in Computer Science (1860-5974) 3 (2007), 4; 4, 35

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Behavioral theory of algorithms ; ASM thesis ; interactive algorithms

Sažetak
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. In a companion paper [5] the axiomatisation was extended to cover interactive smallstep 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. In order to prove the thesis for algorithms of this generality, we extend here the definition of abstract state machines to incorporate explicit attention to the relative timing of replies and to the possible absence of replies. We prove the characterization theorem for extended ASMs with respect to general algorithms as axiomatised in [5].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA