Probabilistic complexity classes through semantics

T Seiller - arxiv preprint arxiv:2002.00009, 2020 - arxiv.org
In a recent paper, the author has shown how Interaction Graphs models for linear logic can
be used to obtain implicit characterisations of non-deterministic complexity classes. In this …

Zeta functions and the (linear) logic of markov processes

T Seiller - Logical Methods in Computer Science, 2024 - lmcs.episciences.org
The author introduced models of linear logic known as “Interaction Graphs” which
generalise Girard's various Geometry of Interaction constructions. In this work, we establish …

Lower bounds for algebraic machines, semantically

L Pellissier, T Seiller - arxiv preprint arxiv:2002.10888, 2020 - arxiv.org
This paper presents a new semantic method for proving lower bounds in computational
complexity. We use it to prove that maxflow, a PTIME complete problem, is not computable in …

[PDF][PDF] Unifying algebraic lower bounds, semantically

T Seiller - Structure Meets Power Workshop, 2024 - cst.cam.ac.uk
Lower bounds. Complexity theory has traditionally been concerned with proving separation
results. Among the numerous open separation problems lies the much advertised Ptime vs …

Implicit complexity through linear realisability: polynomial time and probabilistic classes

T Seiller - 2023 - hal.science
Based on work on realisability models for linear logic, the author recently proposed a new
approach of implicit computational complexity. He showed how to characterise in this way a …

Implicit automata in linear logic and categorical transducer theory

P Baillot, S Guerrini, A Muscholl, D Petrişan, D Pous… - 2021 - theses.hal.science
This thesis aims to establish new connections between two distinct fields within theoretical
computer science. The first is automata theory, whose objects of study are models of …

[PDF][PDF] Lower bounds for prams over Z

L Pellissier, T Seiller - CoRR, 2020 - hal.science
This paper presents a new abstract method for proving lower bounds in computational
complexity. Based on the notion of topological entropy for dynamical systems, the method …

[PDF][PDF] Projet de These

U Léchine - ed-galilee.univ-paris13.fr
Éléments de contexte scientifique local: Cette these encadrée par Stefano Guerrini, Thomas
Seiller, et Geoffroy Couteau porte sur un theme de la théorie de complexité” …