Vesa Halava - UTU Research Portal

Vesa Halava

- Professor,
Mathematics (Department of Mathematics and Statistics)

vesa.halava@utu.fi

+358 29 450 4304

+358 50 320 6267

Vesilinnantie 5

Turku

Office: 368

Contact by email.

ORCID identifier: https://orcid.org/0000-0003-3633-4902

My webpage

Areas of expertise

computability; automata and formal languages; logic; combinatorics on words

Biography

I am a Professor of Discrete Mathematics and Theoretical Computer Science.

Research

My main field of research is in the field of Computability, more precisely on undecidable problems in automata and formal langauges and in the semigroups generated by integer matrices. Recently, I have also focused on the Foundations of Computation and related issues in the Foundations of Mathematics -- in Logic and Set Theory. I have also published articles in Combinatorics on Words.

Teaching

I teach two course in Logic, basic course and advanced level course. I also teach Analysis I for (the first year) students of mathematics.

Publications

2 of 8

Proceedings of the Sixth Russian-Finnish Symposium on Discrete Mathematics (2021) Proceedings of the Sixth Russian-Finnish Symposium on Discrete Mathematics Hakanen Anni, Halava Vesa, Herva Pyry, Kari Jarkko, Laihonen Tero, Petre Ion, Saarela Aleksi
(Other publication)
Undecidability in Finite Transducers, Defense Systems and Finite Substitutions (2021)
- arXiv.org
Halava Vesa

(Other publication)
On Shuffling a Word with its Letter-to-Letter Substitution (2020)
- Fundamenta Informaticae
Halava Vesa, Harju Tero, Sahla Esa
(A1 Refereed original research article in a scientific journal)
On the Steps of Emil Post: from Normal Systems to the Correspondence Decision Problem (2020)
- Acta Cybernetica
Halava Vesa, Harju Tero
(A1 Refereed original research article in a scientific journal)
On fixed points of rational transductions (2018)
- Theoretical Computer Science
Vesa Halava, Tero Harju, Esa Sahla
(A1 Refereed original research article in a scientific journal)
Preface -- Russian-Finnish Symposium in Discrete Mathematics (Fundamenta Informaticae, vol. 162, no. 2-3, pp. i-i, 2018) (2018)
- Fundamenta Informaticae
Vesa Halava, Juhani Karhumäki, Yuri Matiyasevich, Mikhail Volkov
(Other publication)
A new proof for undecidability of the bi-infinite post correspondence problem (2017)
- Fundamenta Informaticae
Halava V., Harju T., Sahla E.
(A1 Refereed original research article in a scientific journal)
Small semi-thue system universal with respect to the termination problem (2017)
- Fundamenta Informaticae
Halava V., Matiyasevich Y., Niskanen R.
(A1 Refereed original research article in a scientific journal)
Walks on tilings of polygons (2017)
- Theoretical Computer Science
Halava V, Harju T
(A1 Refereed original research article in a scientific journal)
Weighted automata on infinite words in the context of Attacker-Defender games (2017)
- Information and Computation
Halava V, Harju T, Niskanen R, Potapov I
(A1 Refereed original research article in a scientific journal)