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 …
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 …
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 …
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 …
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 …
approach of implicit computational complexity. He showed how to characterise in this way a …
Implicit automata in linear logic and categorical transducer theory
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 …
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 …
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” …
Seiller, et Geoffroy Couteau porte sur un theme de la théorie de complexité” …