Title :
Proving inductive theorems using witnessed test sets
Author :
Shao, Zhiqing ; Sun, Yongqiang ; Song, Guoxin ; Yu, Huiqun
Author_Institution :
East China Univ. of Sci. & Technol., Shanghai, China
Abstract :
Based on a new approach to deciding ground reducibility by introducing witnesses, we design an algorithm for proving inductive theorems using witnessed test sets for left-linear rewrite systems. Experimental results show that compared with the standard test set approach presented by Kapur, Narendran and Zhang (1991), our method generates test sets of smaller size and is more efficient to prove inductive theorems
Keywords :
algorithm theory; rewriting systems; theorem proving; algorithm; ground reducibility; inductive theorem proving; left-linear rewrite systems; witnessed test sets; Algorithm design and analysis; Application software; Character generation; Computer science; Ear; Educational institutions; Sun; System testing; Time measurement;
Conference_Titel :
Formal Engineering Methods, 1998. Proceedings. Second International Conference on
Conference_Location :
Brisbane, Qld.
Print_ISBN :
0-8186-9198-0
DOI :
10.1109/ICFEM.1998.730579