Author : 
D. Niwinski;A. Stolboushkin
         
        
            Author_Institution : 
Inst. of Inf., Warsaw Univ., Poland
         
        
        
        
        
            Abstract : 
It is shown that no formula of first-order logic using linear ordering and the logical relation y=2x can define the property that the size of a finite model is divisible by 3. This answers a long-standing question that may be of relevance to certain open problems in circuit complexity.
         
        
            Keywords : 
"Complexity theory","Informatics","Ear","Polynomials","Logic circuits","Computer science","Mathematics"
         
        
        
            Conference_Titel : 
Logic in Computer Science, 1993. LICS ´93., Proceedings of Eighth Annual IEEE Symposium on
         
        
            Print_ISBN : 
0-8186-3140-6
         
        
        
            DOI : 
10.1109/LICS.1993.287590