%0 Journal Article %T Analysis of Valid Closure Property of Formal Language %A Wenyu Chen %A Xiaobin Wang %A Xiaoou Cheng %A Shixin Sun %J Journal of Computers %D 2010 %I Academy Publisher %R 10.4304/jcp.5.2.322-329 %X This paper focuses on the basic operations of Chomsky¡¯s languages. The validity and the effectiveness of some closure operations, such as union operator, product operator and Kleene Closure operator, are discussed in detail. The crosstalk problems in Context-Sensitive Languages (CSL) and Phrase Structure Languages (PSL) are analyzed, and a valuable method to solve this problem is presented by suing the alphabet of the operating languages. In addition, according to the valid closure property of regular languages (RL), a simple method to create a regular expression (RE) is proposed. The closure property of the permutation operator in Context-Free Languages (CFL) is proved and tested. In conclusion, by using our proposed methods, the exact type of a given language can be proved theoretically. By the way, the grammar to produce complex language can be created easy. Finally ,the constructing ¦Å-NFA with the closure property is proved. %K language operation %K valid closure property %K crosstalk %K context-free permutation %U http://ojs.academypublisher.com/index.php/jcp/article/view/633