# LINCX: A Linear Logical Framework with First-Class Contexts

@inproceedings{Georges2017LINCXAL, title={LINCX: A Linear Logical Framework with First-Class Contexts}, author={A{\"i}na Linn Georges and Agata Murawska and Shawn Otis and Brigitte Pientka}, booktitle={ESOP}, year={2017} }

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.

## 5 Citations

### {\pi} with leftovers: a mechanisation in Agda

- Computer Science
- 2020

This work presents the first full mechanisation in Agda of a π-calculus with linear, graded and shared types, all under the same unified framework, and shows that the type system is stable under substitution and prove subject reduction.

### π with leftovers: a mechanisation in Agda

- Computer ScienceFORTE
- 2021

This work presents the first full mechanisation in Agda of a {\pi}-calculus with linear, graded and shared types, all under the same unified framework, and shows that the type system is stable under substitution and prove subject reduction.

### Depending on Session-Typed Processes

- Computer ScienceFoSSaCS
- 2018

The proposed framework enables us to specify and statically verify protocols where the choice of the next communication action can depend on specific values of received data, and the type theoretic nature of the framework endows us with the ability to internally describe and prove predicates on process behaviours.

### Towards Substructural Property-Based Testing

- Computer ScienceLOPSTR
- 2021

This work takes the first step by implementing a property-based testing system for specifications written in the linear logic programming language Lolli and employs the foundational proof certificates architecture to model various data generation strategies.

### Engineering the Meta-Theory of Session Types

- Computer Science
- 2019

This work explores mechanised proofs in theorem assistants as tools to develop trustworthy proofs, and at the same time to guide extensions that do not violate type safety.

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