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        The complexity of quantified constraints: Collapsibility, switchability and the algebraic formulation. (2023)
        
          
            
               Catarina Carvalho, 
            
               Florent Madelaine, 
            
               Barnaby Martin
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               Dmitriy Zhuk
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        The lattice and semigroup structure of multipermutations. (2021)
        
          
            
               Catarina Carvalho
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               Barnaby Martin
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        The complexity of quantified constraints using the algebraic formulation. (2017)
        
          
            
               Catarina Carvalho, 
            
               Barnaby Martin
                and
                
            
               Dmitriy Zhuk
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        On Algebras with many symmetric operations. (2016)
        
          
            
               Catarina Carvalho
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               Andrei Krokhin
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        From complexity to algebra and back: : digraph classes, collapsibility and the PGP. (2015)
        
          
            
               Catarina Carvalho, 
            
               Florent Madelaine
                and
                
            
               Barnaby Martin
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        On Maltsev Digraphs. (2015)
        
          
            
               Catarina Carvalho, 
            
               Laszlo Egri, 
            
               Marcel Jackson
                and
                
            
               Todd Niven
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        On Maltsev digraphs. (2011)
        
          
            
               Catarina Carvalho, 
            
               L. Egri, 
            
               M. Jackson
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               T. Niven
            
          
        
        
      
      
        
          
            
              
    
                          
            
          
        
        
      
    
  
  
      
        
  
    
      
      
        Presentations of Inverse Semigroups their Kernels and Extensions. (2011)
        
          
            
               Catarina Carvalho, 
            
               Robert Gray
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               Nik Ruskuc
            
          
        
        
      
      
        
          
            
              
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        Two new homomorphism dualities and lattice operations. (2011)
        
          
            
               Catarina Carvalho, 
            
               Victor Dalmau
                and
                
            
               Andrei Krokhin
            
          
        
        
      
      
        
          
            
              
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        CSP duality and trees of bounded pathwidth. (2010)
        
          
            
               Catarina Carvalho, 
            
               Víctor Dalmau
                and
                
            
               Andrei Krokhin
            
          
        
        
      
      
        
          
            
              
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        CD(4) has bounded width. (2009)
        
          
            
               Catarina Carvalho, 
            
               Víctor Dalmau, 
            
               Petar Marković
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               Miklós Maróti
            
          
        
        
      
      
        
          
            
              
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        A finitely presented monoid with a non-finitely generated group of units. (2007)
        
          
            
               Catarina Carvalho
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               Nik Ruskuc
            
          
        
        
      
      
        
          
        
        
      
    
  
  
      
        
  
    
      
      
        Bruck-Reilly extensions of direct products of monoids and completely (0-)simple semigroups. (2009)
        
          
            
               Catarina Carvalho
            
          
        
        
      
      
        
          
        
        
      
    
  
  
      
        
  
    
      
      
        On presentations of Bruck-Reilly extensions. (2009)
        
          
            
               Catarina Carvalho
            
          
        
        
      
      
        
          
        
        
      
    
  
  
      
        
  
    
      
      
        Caterpillar duality for constraint satisfaction problems. (2008)
        
          
            
               Catarina Carvalho, 
            
               Víctor Dalmau
                and
                
            
               Andrei Krokhin
            
          
        
        
      
      
        
          
        
        
      
    
  
  
      
        
  
    
      
      
        Finite generation of P-semigroups with almost G-invariant idempotents. (2007)
        
          
            
               Catarina Carvalho
            
          
        
        
      
      
        
          
        
        
      
    
  
  
      
        
  
    
      
      
        Finite presentability of Bruck-Reilly extensions of Clifford monoids. (2007)
        
          
            
               Catarina Carvalho
            
          
        
        
      
      
        
          
        
        
      
    
  
  
      
        
  
    
      
      
        On finite presentability of Bruck-Reilly extensions of a monoid with respect to an endomorphism and its powers. (2007)
        
          
            
               Catarina Carvalho
                and
                
            
               Nik Ruskuc