State-Transition Computation Models and Program Correctness Thereon

Author:

Akama Kiyoshi, ,Nantajeewarawat Ekawit,

Abstract

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.

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Reference12 articles.

1. K. Akama and E. Nantajeewarawat, “Formalization of Computation Models in View of Program Synthesis,” in Proc. the 4th Int. Conf. on Intelligent Technologies, Chiang Mai, Thailand, pp. 507-516, 2003.

2. J. W. Lloyd, “Foundations of Logic Programming,” second, extended edition, Springer-Verlag, 1987.

3. T. Frühwirth, “Theory and Practice of Constraint Handling Rules,” Journal of Logic Programming, Vol.37, pp. 95-138, 1998.

4. J. Jaffar, M. Maher, K. Marriott, and P. Stuckey, “The Semantics of Constraint Logic Programs,” Journal of Logic Programming, Vol.37, pp. 1-46, 1998.

5. R. Bird, “Introduction to Functional Programming,” second edition, Prentice Hall, 1998.

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