# The ILLTP Library for Intuitionistic Linear Logic

@inproceedings{Olarte2019TheIL, title={The ILLTP Library for Intuitionistic Linear Logic}, author={Carlos Olarte and Valeria C V de Paiva and Elaine Pimentel and Giselle Reis}, booktitle={Linearity-TLLA@FLoC}, year={2019} }

Benchmarking automated theorem proving (ATP) systems using standardized problem sets is a well-established method for measuring their performance. However, the availability of such libraries for non-classical logics is very limited. In this work we propose a library for benchmarking Girard's (propositional) intuitionistic linear logic. For a quick bootstrapping of the collection of problems, and for discussing the selection of relevant problems and understanding their meaning as linear logic…

## 3 Citations

### Deriving Theorems in Implicational Linear Logic, Declaratively

- Computer ScienceICLP Technical Communications
- 2020

Combinatorial generation of provable formulas of a given size, intuitionistic and linear logic theorem provers, theorems of the implicational fragment of propositional linear intuitionistic logic, Curry-Howard isomorphism, efficient generation of linear lambda terms in normal form, Prolog programs for lambda term generation and theorem proving.

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This work provides two solutions to this resource management problem, adapting Hodas and Miller’s input-output model of linear context management to a graded modal linear type theory, and evaluates the performance of both approaches via their implementation as a program synthesis tool for the programming language Granule, which provides linear and gradedmodal typing.

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- 2022

This work proposes Monte-Carlo simulations guided by reinforcement learning that can work in an arbitrarily specified logic, without any human knowledge or set of problems, and practically demonstrates the feasibility of the approach in multiple logical systems.

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