{72 () a Linear Logical Framework

A Meta Linear Logical Framework

Over the years, logical framework research has produced various type theories designed primarily for the representation of deductive systems. Reasoning about these representations requires expressive special purpose meta logics, that are in general not part of the logical framework. In this work, we describe Lω , a meta logic for the linear logical framework LLF [CP96] and illustrate its use vi...

LINCX: A Linear Logical Framework with First-Class Contexts

Linear logic provides an elegant framework for modelling stateful, imperative and concurrent systems by viewing a context of assumptions as a set of resources. However, mechanizing the meta-theory of such systems remains a challenge, as we need to manage and reason about mixed contexts of linear and intuitionistic assumptions. We present Lincx, a contextual linear logical framework with first-c...

A Concurrent Logical Framework I: Judgments and Properties

The Concurrent Logical Framework, or CLF, is a new logical framework in which concurrent computations can be represented as monadic objects, for which there is an intrinsic notion of concurrency. It is designed as a conservative extension of the linear logical framework LLF with the synchronous connectives ⊗, 1, !, and ∃ of intuitionistic linear logic, encapsulated in a monad. LLF is itself a c...

Lincx: A Linear Logical Framework with First-class Context

A Concurrent Logical Framework II: Examples and Applications

CLF is a new logical framework with an intrinsic notion of concurrency. It is designed as a conservative extension of the linear logical framework LLF with the synchronous connectives ⊗, 1, !, and ∃ of intuitionistic linear logic, encapsulated in a monad. LLF is itself a conservative extension of LF with the asynchronous connectives −◦, & and >. In this report, the second of two technical repor...