15-816 Linear Logic
Lecture 21: Logical Frameworks

In the previous lecture we concentrated on the use of linear type theory as a foundation for functional programming. In this lecture we consider the use of linear type theory as a logical framework where the computational paradigm is logic programming.

As for linear logic programming, this approach suggests omitting some operators from the type theory in order to obtain both a tractable equational theory and a language that is suitable for an interpretation as a logic programming language based on uniform proofs.

We begin the study of a small imperative language as an example to be formalized in a logical framework.

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Frank Pfenning