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    STUDIA INFORMATICA - Issue no. 1 / 2007  
         
  Article:   DEPENDENT TYPES IN MATHEMATICAL THEORY OF PROGRAMMING.

Authors:  VALERIE NOVITZKÁ, ANITA VERBOVÁ.
 
       
         
  Abstract:  In our approach we consider programming as logical reasoning over type theory of a given solved problem. In our paper we follow our work with describing dependent type theory categorically. We introduce dependent types as families of types indexed by terms and we provide rules of dependent type calculus. We describe indexing in terms of special functors, fibrations along display maps over category of type contexts.  
         
     
         
         
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