Paper: A Linear Logical Framework (at LICS 1996)

Authors: Iliano Cervesato Frank Pfenning

Abstract

We present the linear type theory LLF as the formal basis for a conservative extension of the LF logical framework. LLF combines the expressive power of dependent types with linear logic to permit the natural and concise representation of a whole new class of deductive systems, namely those dealing with state. As an example we encode a version of Mini-ML with references including its type system, its operational semantics, and a proof of type preservation. Another example is the encoding of a sequent calculus for classical linear logic and its cut elimination theorem. LLF can also be given an operational interpretation as a logic programming language under which the representations above can be used for type inference, evaluation and cut-elimination.

BibTeX

  @InProceedings{CervesatoPfenning-ALinearLogicalFrame,
    author = 	 {Iliano Cervesato and Frank Pfenning},
    title = 	 {A Linear Logical Framework},
    booktitle =  {Proceedings of the Eleventh Annual IEEE Symposium on Logic in Computer Science (LICS 1996)},
    year =	 {1996},
    month =	 {July}, 
    pages =      {264--275},
    location =   {New Brunswick, NJ, USA}, 
    publisher =	 {IEEE Computer Society Press}
  }