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                                        Displaying 321 – 
                                        340 of 
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We provide alternative proofs and algorithms for results proved by Sénizergues on rational and recognizable free group languages. We consider two different approaches to the basic problem of deciding recognizability for rational free group languages following two fully independent paths: the symmetrification method (using techniques inspired by the study of inverse automata and inverse monoids) and the right stabilizer method (a general approach generalizable to other classes of groups). Several...
    			                    
    			                 
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    			                    
                                       
We provide alternative proofs and algorithms for results
proved by Sénizergues on rational and recognizable free
group languages. We consider two different approaches to the basic
problem of deciding recognizability for rational free group languages
following two fully independent paths: the symmetrification
method (using techniques inspired by the study of
inverse automata and inverse monoids) and
the right stabilizer method (a general approach generalizable to other
classes of 
groups). Several...
    			                    
    			                 
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    			                    
                                       
It is well known that, given an endofunctor  on a category , the initial -algebras (if existing), i.e., the algebras of (wellfounded) -terms over different variable supplies , give rise to a monad with substitution as the extension operation (the free monad induced by the functor ). Moss [17] and Aczel, Adámek, Milius and Velebil [2] have shown that a similar monad, which even enjoys the additional special property of having iterations for all guarded substitution rules (complete iterativeness),...
    			                    
    			                 
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    			                    
                                       
It is well known that, given an endofunctor H on a category C ,
 the initial (A+H-)-algebras (if existing), i.e. , the algebras
 of (wellfounded) H-terms over different variable supplies A,
 give rise to a monad with substitution as the extension operation
 (the free monad induced by the functor H). Moss [17]
 and Aczel, Adámek, Milius and Velebil [12] have shown
 that a similar monad, which even enjoys the additional special
 property of having iterations for all guarded substitution rules
 (complete...
    			                    
    			                 
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    			                    
                                       
In this paper, we introduce generating networks of splicing processors (GNSP for short), a formal languages generating model related to networks of evolutionary processors and to accepting networks of splicing processors. We show that all recursively enumerable languages can be generated by GNSPs with only nine processors. We also show, by direct simulation, that two other variants of this computing model, where the communication between processors is conducted in different ways, have the same computational...
    			                    
    			                 
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    			                    
                                       
In this paper, we introduce generating networks of splicing processors (GNSP for short),
          a formal languages generating model related to networks of evolutionary processors and to
          accepting networks of splicing processors. We show that all recursively enumerable
          languages can be generated by GNSPs with only nine processors. We also show, by direct
          simulation, that two other variants of this computing model, where the communication
          between processors...
    			                    
    			                 
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    
    		            
    		                
    		                
    		                
    			                
    		                
    		                
    		            
    			    			
    			 
 
    			
    				Currently displaying 321 – 
                                        340 of 
                                        948