Formalizing Liveness Accountability Requires Honest Majority and Majority Synchrony
        
        
        
        
          
        
        
      
        
    
        
        New theoretical framework precisely defines when and how consensus protocols can cryptographically blame nodes for stalling transaction finality.
        
        Logarithmic Stake Weighting Advances Proof-of-Stake Decentralization Quantification and Resilience
        
        
        
        
          
        
        
      
        
    
        
        Current Proof-of-Stake designs concentrate power; novel non-linear stake weighting models redistribute influence, enhancing decentralization and security.
