State-Transition Computation Models and Program Correctness Thereon
Kiyoshi Akama* and Ekawit Nantajeewarawat**
*Division of Large-Scale Computational Systems, Information Initiative Center, Hokkaido University, Kita 11 Nishi 5, Kita-ku, Sapporo, Hokkaido 060-0811, Japan
**Computer Science Program, Sirindhorn International Institute of Technology, Thammasat University, Rangsit Campus, P.O. Box 22, Thammasat-Rangsit Post Office, Pathumthani 12121, Thailand
The common framework for formalizing state-transition computation models we present is based on a general theory for studying the interrelationship of specifications, programs, computation, and program correctness. We establish a necessary and sufficient condition for program correctness for this class of computation models and demonstrate framework application by formalizing, as its instances, two concrete examples of state-transition computation models – NAT and D-rule. We compare their correct-program spaces by introducing the embedding mapping concept.
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