Logic List Mailing Archive

PhD student position in finite model theory for many valued logics, St Lucia (Australia)

University of Queensland


Finite model theory for many valued logics

Project opportunity

This Earmarked Scholarship project is aligned with a recently awarded 
Category 1 research grant. It offers you the opportunity to work with 
leading researchers and contribute to large projects of national 

Data available for collection in the real world is very often not a matter 
of yes or no, not a matter of all or nothing, but actually a matter of 
degrees. There is a growing need to represent this information in graded 
databases. Moreover, real-world data usually involves only finitely-many 
objects. Mathematical logic offers precise syntactic tools via logical 
languages that allow for expressing and querying information, which has 
already proved its power in the case of finite databases with binary 
yes-or-no properties with the deep development of classical finite model 
theory. On another research stream, mathematical fuzzy logic has developed 
a wealth of results about logical tools for general (possibly infinite) 
graded structures. However, graded finite structures pose specific 
difficulties that do not allow a straightforward application of general 
results. In this project, we want to fill this obvious theoretical gap by 
putting forward a mathematically ambitious study of graded finite 
structures, which may turn out to be crucial for a wider applicability of 
mathematical logic. Scholarship value

As a scholarship recipient, you'll receive:

     living stipend of $28,854 per annum tax free (2022 rate), indexed 
     tuition fees covered
     single Overseas Student Health Cover (OSHC)


Dr Guillermo Badia

School of Historical and Philosophical Inquiry

Email: g.badia@uq.edu.au
Preferred educational background

Your application will be assessed on a competitive basis.

We take into account your

     previous academic record
     publication record
     honours and awards
     employment history.

A working knowledge of mathematical logic would be of benefit to someone 
working on this project.

The applicant will demonstrate academic achievement in the field(s) of 
mathematics, philosophy or computer science and the potential for 
scholastic success.

A background or knowledge of mathematics is highly desirable.
Latest commencement date

If you are the successful candidate, you must commence by Research Quarter 
3, 2023. You should apply at least 3 months prior to the research quarter 
commencement date.

If you are an international applicant, you may need to apply much earlier 
for visa requirements.

How to apply

You apply for this project as part of your PhD program application.

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