Type theory: Difference between revisions

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The topic of ''type [[theory]]'' is fundamental both in [[logic]] and computer Science [[Category:Science]]. We limit ourselves here to sketch some aspects that are important in logic. For the importance of types in computer Science [[Category:Science]], for instance:
The topic of ''type [[theory]]'' is fundamental both in [[logic]] and computer Science , for instance:
# Reynolds 1983 and 1985.  
# Reynolds 1983 and 1985.  
# Paradoxes and Russell's Type Theories  
# Paradoxes and Russell's Type Theories  

Latest revision as of 17:54, 21 February 2024

The topic of type theory is fundamental both in logic and computer Science , for instance:

  1. Reynolds 1983 and 1985.
  2. Paradoxes and Russell's Type Theories
  3. Simple Type Theory and the λ -Calculus.

Church's type theory, aka simple type theory, is a formal logical language which includes classical first-order and propositional logic, but is more expressive in a practical sense. It is used, with some modifications and enhancements, in most modern applications of type theory.