Investigation of infinite state systems is an active field since the early days of computer science.
Despite of decades of research the most fundamental questions are not understood well
even for basic models using only counters o...
Investigation of infinite state systems is an active field since the early days of computer science.
Despite of decades of research the most fundamental questions are not understood well
even for basic models using only counters or a stack.
The aim of the project is to provide solutions of the most challenging problems in the area.
The goals of the project are grouped in three tasks:
- The first goal in concerned with the reachability problem in Petri nets or Vector Addition Systems (VASes),
a classical problem of fundamental importance. Recently, in a breakthrough paper (awarded the Best Paper
Award at STOC 2019) with co-authors we have improved the lower bound for this problem from \expspace to \tower-hardness.
The main goal of this task is to establish exact complexity of the reachability problem.
- The second task focuses on separability problems, which ask about existence of simple classifiers.
The first main goal in this task is to prove decidability of an important problem of regular separability for languages of VASes, i.e.
the question whether for two given VAS languages there is a regular language including one of them and disjoint
from the other one.
Second main goal is to solve the word separating problem, namely to decide whether for each two words of length $n$
there exists a DFA with logarithmic number of states recognizing exactly one of them.
- Without doubt the role of nondeterminism is a key question in theoretical computer science.
The goal of this task is to study the related notion of unambiguity, which has very interesting properties, but
is much less understood. My plan is to study unambiguity in simple models.
The main goal here is to understand the complexity of the universality problem
of unambiguous variants of finite automata and their extensions.ver más
Seleccionando "Aceptar todas las cookies" acepta el uso de cookies para ayudarnos a brindarle una mejor experiencia de usuario y para analizar el uso del sitio web. Al hacer clic en "Ajustar tus preferencias" puede elegir qué cookies permitir. Solo las cookies esenciales son necesarias para el correcto funcionamiento de nuestro sitio web y no se pueden rechazar.
Cookie settings
Nuestro sitio web almacena cuatro tipos de cookies. En cualquier momento puede elegir qué cookies acepta y cuáles rechaza. Puede obtener más información sobre qué son las cookies y qué tipos de cookies almacenamos en nuestra Política de cookies.
Son necesarias por razones técnicas. Sin ellas, este sitio web podría no funcionar correctamente.
Son necesarias para una funcionalidad específica en el sitio web. Sin ellos, algunas características pueden estar deshabilitadas.
Nos permite analizar el uso del sitio web y mejorar la experiencia del visitante.
Nos permite personalizar su experiencia y enviarle contenido y ofertas relevantes, en este sitio web y en otros sitios web.