Linear logic is a refinement of classical and intuitionistic logic. Instead of emphasizing truth,
as in classical logic, or proof, as in intuitionistic logic, linear logic emphasizes the role of …

Logics based on the μ μ-calculus are used to model inductive and coinductive reasoning
and to verify reactive systems. A well-structured proof-theory is needed in order to apply …

Many correctness criteria have been proposed since linear logic was introduced and it is not
clear how they relate to each other. In this paper, we study proof-nets and their correctness …

This paper presents a simple and intuitive syntax for proof nets of the multiplicative cyclic
fragment (McyLL) of linear logic (LL). The main technical achievement of this work is to …

We investigate efficient algorithms for the additive fragment of linear logic. This logic is an
internal language for categories with finite sums and products, and describes concurrent two …

Around 2000, J.-Y. Girard developed a logical theory, called Ludics. This theory was a step
in his program of Geometry of Interaction, the aim of which being to account for the dynamics …

This paper presents a linear time algorithm for proof verification on N-Graphs. This system,
introduced by de Oliveira, incorporates the geometrical techniques from the theory of proof …

In this work we present a paradigm of focusing proof search based on an incremental
construction of retractile (ie, correct or sequentializable) proof structures of the pure (units …

This study is concerned with the equality of proofs and formulas in linear logic, with in
particular contributions for the multiplicative-additive fragment of this logic. In linear logic …

In addition to their limpid interface with semantics, categorial grammars enjoy another
important property: learnability. This was first noticed by Buszkowski and Penn and further …