PhD Position Systematic Derivation of Formal Languages and Their Correctness

Delft; Delft; Remote; EUR 38,000 - 49,000; Full time

Benefits offered by this job

Relocation assistance

Dual Career Programme

Job summary

TU Delft invites applications for a PhD position focusing on the systematic derivation of formal languages and their correctness. You will work under supervision in the Department of Software Technology and use Agda for verification.

Responsibilities include independent research, seminars, publishing, and teaching contributions, with a 4-year contract and relocation support as part of the benefits package. English proficiency is essential.

Qualifications

• Masters degree in mathematics, computer science, or a related field.
• Experience in category theory and theoretical computer science, or strong motivation to learn them.
• Experience with a proof assistant (e.g., Agda, Rocq/Lean) is a plus.
• Enjoyment of precise mathematical reasoning and English proficiency.
• Willingness to supervise students and teach.

Responsibilities

• Conduct this research individually and as part of a team.
• Participate in scientific life at TU Delft by attending and organizing seminars.
• Publish papers and participate in workshops and conferences.
• Contribute to teaching in computer science and supervise students where possible.

Skills

Category theory

Theoretical computer science

English proficiency

Teaching collaboration

Education

Masters degree in mathematics or computer science

Tools

Agda

Lean

Coq

Job description

PhD Position Systematic Derivation of Formal Languages and Their Correctness

From Semantics to Syntax — Systematic Derivation of Formal Languages and Their Correctness

Formal languages, such as type theories and program logics, let us state and prove precisely what software should do. Today, each new language is designed by hand: experts invent the syntax, then check that it really means what it should. This is slow, and it has to be redone for every new problem. This project explores a different approach: start from the mathematical meaning of a language and derive the language itself from it, together with a proof that the two match. Several recent type theories were built this way, but each one with its own ad hoc techniques. Together, we want to find out whether there is one general recipe behind them. You will develop this theory using tools from category theory and type theory, and check your results in the Agda proof assistant. You will be supervised by Dr. Benedikt Ahrens in the Department of Software Technology at TU Delft.

Your responsibilities will include:

• conducting this research, both individually and as part of a team;
• participating in scientific life at TU Delft and in the Netherlands, for example by attending and organizing seminars;
• participating in scientific life more globally, including publishing papers and attending workshops and conferences;
• contributing to teaching in computer science, providing the opportunity to gain teaching experience.

Job requirements

Applications will be evaluated on the following criteria:

• Masters degree in mathematics, computer science, or a related field
• Experience in both category theory and theoretical computer science (e.g., type theory, logic or programming language semantics), or a strong motivation and ability to learn them.
• Experience with a proof assistant (e.g., Agda, Rocq or Lean) is a plus, but not required.
• Enjoyment of precise mathematical reasoning,
• Ability to work independently and to collaborate across the maths/CS boundary;
• Excellent written and spoken English
• Willingness to contribute to, and possibly experience in, student supervision and teaching

TU Delft (Delft University of Technology)

Delft University of Technology is built on strong foundations. As creators of the world-famous Dutch waterworks and pioneers in biotech, TU Delft is a top international university combining science, engineering and design. It delivers world class results in education, research and innovation to address challenges in the areas of energy, climate, mobility, health and digital society. For generations, our engineers have proven to be entrepreneurial problem-solvers, both in business and in a social context.

At TU Delft we embrace diversity as one of our core values and we actively engage to be a university where you feel at home and can flourish. We value different perspectives and qualities. We believe this makes our work more innovative, the TU Delft community more vibrant and the world more just. Together, we imagine, invent and create solutions using technology to have a positive impact on a global scale.

Faculty of Electrical Engineering, Mathematics and Computer Science

The Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) brings together three scientific disciplines. Combined, they reinforce each other and are the driving force behind the technology we all use in our daily lives. Technology such as the electricity grid, which our faculty is helping to make completely sustainable and future-proof. At the same time, we are developing the chips and sensors of the future, whilst also setting the foundations for the software technologies to run on this new generation of equipment – which of course includes AI. Meanwhile we are pushing the limits of applied mathematics, for example mapping out disease processes using single cell data, and using mathematics to simulate gigantic ash plumes after a volcanic eruption. In other words: there is plenty of room at the faculty for ground-breaking research. We educate innovative engineers and have excellent labs and facilities that underline our strong international position. In total, more than 1000 employees and 4,000 students work and study in this innovative environment.

Click here to go to the website of the Faculty of Electrical Engineering, Mathematics and Computer Science.

Conditions of employment
Doctoral candidates will be offered a 4-year period of employment in principle, but in the form of 2 employment contracts. An initial 1,5 year contract with an official go/no go progress assessment within 15 months. Followed by an additional contract for the remaining 2,5 years assuming everything goes well and performance requirements are met.

Salary and benefits are in accordance with the Collective Labour Agreement for Dutch Universities, increasing from€3204 - €4051 gross per month, from the first year to the fourth year based on a fulltime contract (38 hours), plus 8% holiday allowance and an end-of-year bonus of 8.3%.

As a PhD candidate you will be enrolled in the TU Delft Graduate School. The TU Delft Graduate School provides an inspiring research environment with an excellent team of supervisors, academic staff and a mentor. The Doctoral Education Programme is aimed at developing your transferable, discipline-related and research skills.

Will you need to relocate to the Netherlands for this job? TU Delft is committed to make your move as smooth as possible! The HR unit, Coming to Delft Service , offers information on their website to help you prepare your relocation. In addition, Coming to Delft Service organises events to help you settle in the Netherlands, and expand your (social) network in Delft. A Dual Career Programme is available, to support your accompanying partner with their job search in the Netherlands.

Additional information
If you would like more information about this vacancy or the selection procedure, please contact Benedikt Ahrens, via [e-mail] .

Doing a PhD at TU Delft requires English proficiency at a certain level to ensure that the candidate is able to communicate and interact well, participate in English-taught Doctoral Education courses, and write scientific articles and a final thesis. Check the Graduate Schools Admission Requirements .
Please note:

• As part of knowledge security, TU Delft conducts a risk assessment during the recruitment of personnel. We do this, among other things, to prevent the unwanted transfer of sensitive knowledge and technology. The assessment is based on information provided by the candidates themselves, such as their motivation letter and CV, and takes place at the final stages of the selection process. When the outcome of the assessment is negative, the candidate will be informed. The processing of personal data in the context of the risk assessment is carried out on the legal basis of the GDPR: performing a public task in the public interest.You can find more information about this assessment on our website about knowledge security.

Faculty/Department: Faculty of Electrical Engineering, Mathematics & Computer Science

FTE: 1

Submission is possible until: 29 Nov 2026