System Description: Twelf - A Meta-Logical Framework for Deductive Systems

@inproceedings{Pfenning1999SystemDT,
  title={System Description: Twelf - A Meta-Logical Framework for Deductive Systems},
  author={Frank Pfenning and Carsten Sch{\"u}rmann},
  booktitle={CADE},
  year={1999}
}
Twelf is a meta-logical framework for the specification, implementation, and meta-theory of deductive systems from the theory of programming languages and logics. It relies on the LF type theory and the judgments-as-types methodology for specification [HHP93], a constraint logic programming interpreter for implementation [Pfe91], and the meta-logic M2 for reasoning about object languages encoded in LF [SP98]. It is a significant extension and complete reimplementation of the Elf system [Pfe94… 

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A meta-logic M2 is developed which allows inductive reasoning over LF encodings, and its implementation is described in Twelf, a special-purpose automated theorem prover for properties of logics and programming languages.

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Draft notes for a course given at Carnegie Mellon University during the fall semester of 1994, with author Frank Pfenning and the National Football League.