Typed Lambda Calculi and Applications

Volume 6690 of the series Lecture Notes in Computer Science pp 123-137

Controlling Program Extraction in Light Logics

  • Marc LassonAffiliated withENS Lyon, Université de Lyon, LIP


We present two refinements, based on program extraction in elementary affine logic and light affine logic, of Krivine & Leivant’s system FA2. This system allows higher-order equations to specify the computational content of extracted programs. The user can then prove a generic formula, using these equations as axioms. The system guarantees that the extracted program satisfies the specification and is computable in elementary time (for elementary affine logic) or polynomial time (for light affine logic). Finally, we show that both systems are complete with respect to elementary time and polynomial time functions.