This paper develops a formal string diagram language for monoidal closed categories. Previous work has shown that string diagrams for freely generated symmetric monoidal …
We enhance the calculus of string diagrams for monoidal categories with hierarchical features in order to capture closed monoidal (and cartesian closed) structure. Using this new …
We present a simple term calculus with an explicit control of erasure and duplication of substitutions, enjoying a sound and complete correspondence with the intuitionistic fragment …
We introduce subatomic proof theory, a new methodology where, by looking inside atoms, we are able to represent a wide variety of proof systems in such a way that every rule is an …
P Baillot, P Coppola, U Dal Lago - Information and Computation, 2011 - Elsevier
Typing of lambda-terms in elementary and light affine logic (EAL and LAL, respectively) has been studied for two different reasons: on the one hand the evaluation of typed terms using …
Y Bakhracheva - MATEC Web of Conferences, 2017 - matec-conferences.org
Approach to synthesis of modular structure of a subsystem of information security of the automated process control system is offered. The task has been solved on the basis of a set …
S Maneth, G Busatto - … Conference on Foundations of Software Science …, 2004 - Springer
A tree can be compressed into a DAG by sharing common subtrees. The resulting DAG is at most exponentially smaller than the original tree. Consider an attribute grammar that …
JWN Paulus, D Nantes-Sobrinho… - … Conference on Formal …, 2021 - research.rug.nl
We study encodings of the λ-calculus into the π-calculus in the unexplored case of calculi with non-determinism and failures. On the sequential side, we consider λ^↯ _⊕, a new non …
S Guerrini, S Martini, A Masini - Theoretical computer science, 2003 - Elsevier
Sharing graphs are an implementation of linear logic proof-nets in which a redex is never duplicated. In their usual formulation, sharing graphs present a problem of coherence: if the …