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A Third-Order Representation of the -Calculus Andreas Abel
 

Summary: Slide 1
A Third-Order Representation of the -Calculus
Andreas Abel
GKLI, LMU Munchen
May 04, 2001
1. Parigot's -Calculus
2. Computational Interpretation
3. First-Order vs. Higher-Order Logical Frameworks
4. A Third-Order Representation of the -Calculus
Slide 2
Parigot's -Calculus
 Proof terms for the implicational fragment of classical logic in natural
deduction style
 Raw terms:
M ::= x j x:M j MM j a:N (Unnamed) terms
N ::= [a]M Named terms
 Typing rules resp. proof rules:
x : A
  
M : B

  

Source: Abel, Andreas - Theoretische Informatik, Ludwig-Maximilians-Universit√§t M√ľnchen

 

Collections: Computer Technologies and Information Sciences