100 citations
- Laboratoire de Mathématiques Blaise PascalFR30 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- Université Paris-Est CréteilFR13 papers
- Université Savoie Mont BlancFR13 papers
- Institut de Mathématiques de ToulouseFR3 papers
- Institut de recherche mathématique de RennesFR3 papers
- University of ChileCL3 papers
- Center for Mathematical ModelingCL2 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR2 papers
- École PolytechniqueFR2 papers
- Institute of MathematicsPL2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
6 papers · 1 filter
Predicate Transformers, (co)Monads and Resolutions
Pierre Hyvernat
This short note contains random thoughts about a factorization theorem for closure/interior operators on a powerset which is reminiscent to the notion of resolution for a monad/com…
Variable binding, symmetric monoidal closed theories, and bigraphs
Richard Garner, Tom Hirschowitz, Aurélien Pardon
This paper investigates the use of symmetric monoidal closed (SMC) structure for representing syntax with variable binding, in particular for languages with linear aspects. In our…
Contraction-free proofs and finitary games for Linear Logic
André Hirschowitz, Michel Hirschowitz, Tom Hirschowitz
In the standard sequent presentations of Girard's Linear Logic (LL), there are two "non-decreasing" rules, where the premises are not smaller than the conclusion, namely the cut an…
Interaction Systems and Linear Logic, a different games semantics
Pierre Hyvernat
We define a model for linear logic based on two well-known ingredients: games and simulations. This model is interesting in the following respect: while it is obvious that the obje…
Graphical Presentations of Symmetric Monoidal Closed Theories
Richard Garner, Tom Hirschowitz, Aurélien Pardon
We define a notion of symmetric monoidal closed (SMC) theory, consisting of a SMC signature augmented with equations, and describe the classifying categories of such theories in te…
Binding bigraphs as symmetric monoidal closed theories
Tom Hirschowitz, Aurélien Pardon
Milner's bigraphs are a general framework for reasoning about distributed and concurrent programming languages. Notably, it has been designed to encompass both the pi-calculus and…