On reachability problems for low-dimensional matrix semigroups

On reachability problems for low-dimensional matrix semigroups

We consider the Membership and the Half-Space Reachability problems for matrices in dimensions two and three. Our first main result is that the Membership Problem is decidable for finitely generated sub-semigroups of the Heisenberg group over rational numbers. Furthermore, we prove two decidability...

Полное описание

Библиографические подробности
Главные авторы:	Colcombet, T, Ouaknine, J, Semukhin, P, Worrell, J
Формат:	Conference item
Опубликовано:	Schloss Dagstuhl - Leibniz-Zentrum für Informatik 2019

Схожие документы

Nonnegativity problems for matrix semigroups
по: D'Costa, J, и др.
Опубликовано: (2024)

On the Relationship between Reachability Problems in Timed and Counter Automata
по: Haase, C, и др.
Опубликовано: (2012)

On the relationship between reachability problems in timed and counter automata
по: Haase, C, и др.
Опубликовано: (2012)

On the decidability of membership in matrix-exponential semigroups
по: Ouaknine, J, и др.
Опубликовано: (2019)

Vector reachability problem in SL (2, ℤ)
по: Potapov, I, и др.
Опубликовано: (2016)

Vector and scalar reachability problems in SL(2, Z)
по: Potapov, I, и др.
Опубликовано: (2018)

The pseudo-reachability problem for diagonalisable linear dynamical systems
по: D'Costa, J, и др.
Опубликовано: (2022)

On recurrent reachability for continuous linear dynamical systems
по: Ouaknine, J, и др.
Опубликовано: (2016)

On recurrent reachability for continuous linear dynamical systems
по: Chonev, V, и др.
Опубликовано: (2016)

Reachability in Succinct and Parametric One−Counter Automata
по: Haase, C, и др.
Опубликовано: (2009)

Reachability in Succinct and Parametric One-Counter Automata
по: Haase, C, и др.
Опубликовано: (2009)

On the decidability of reachability in linear time-invariant systems
по: Fijalkow, N, и др.
Опубликовано: (2019)

On reachability for hybrid automata over bounded time
по: Brihaye, T, и др.
Опубликовано: (2011)

On matrix powering in low dimensions
по: Galby, E, и др.
Опубликовано: (2015)

Revisiting reachability in timed automata
по: Quaas, K, и др.
Опубликовано: (2017)

On LTL model-checking for low-dimensional discrete linear dynamical systems
по: Karimov, T, и др.
Опубликовано: (2020)

The 2-dimensional constraint loop problem is decidable
по: Guilmant, Q, и др.
Опубликовано: (2024)

The reachability problem for two-dimensional vector addition systems with states
по: Blondin, M, и др.
Опубликовано: (2021)

On affine reachability problems
по: Jaax, S, и др.
Опубликовано: (2020)

On the size of finite rational matrix semigroups
по: Bumpus, G, и др.
Опубликовано: (2020)

Reachability Matrix Ontology: A Cybersecurity Ontology
по: Noemi Scarpato, и др.
Опубликовано: (2019-06-01)

Decision Problems for Linear Recurrence Sequences.
по: Ouaknine, J, и др.
Опубликовано: (2012)

Reachability and escape problems in linear dynamical systems
по: Dcosta, J
Опубликовано: (2024)

The Semialgebraic Orbit Problem
по: Almagor, S, и др.
Опубликовано: (2019)

The polytope-collision problem
по: Almagor, S, и др.
Опубликовано: (2017)

Solvability of matrix-exponential equations
по: Ouaknine, J, и др.
Опубликовано: (2016)

Solvability of matrix-exponential equations
по: Ouaknine, J, и др.
Опубликовано: (2016)

Solvability of matrix-exponential equations
по: Ouaknine, J, и др.
Опубликовано: (2016)

Reachability problems for linear dynamical systems
по: Chonev, V
Опубликовано: (2015)

On the mortality problem: from multiplicative matrix equations to linear recurrence sequences and beyond
по: Bell, P, и др.
Опубликовано: (2019)

On the complexity of the orbit problem
по: Chonev, V, и др.
Опубликовано: (2016)

On the complexity of the orbit problem
по: Chonev, V, и др.
Опубликовано: (2016)

On the mortality problem: From multiplicative matrix equations to linear recurrence sequences and beyond
по: Bell, PC, и др.
Опубликовано: (2021)

The orbit problem in higher dimensions
по: Chonev, V, и др.
Опубликовано: (2013)

Matrix transformations and generators of analytic semigroups
по: Medeghri Ahmed, и др.
Опубликовано: (2006-01-01)

Deciding Reachability for 3-Dimensional Multi-Linear Systems
по: Olga Tveretina, и др.
Опубликовано: (2011-06-01)

Reachability Deficits in Quantum Approximate Optimization of Graph Problems
по: V. Akshay, и др.
Опубликовано: (2021-08-01)

On the skolem problem for continuous linear dynamical systems
по: Chonev, V, и др.
Опубликовано: (2016)

On the Skolem Problem for continuous linear dynamical systems
по: Ouaknine, J, и др.
Опубликовано: (2016)

Decision problems for second-order holonomic sequences
по: Neumann, E, и др.
Опубликовано: (2021)