My picture

I am a PhD student in the Veridis team at Inria Nancy, LORIA, under the supervision of Stephan Merz and Gilles Dowek. I am also an associate member of the Deducteam at the Laboratoire Méthodes Formelles.

My primary research interests focus on type theory, logic, and automated reasoning. My current research involves proving the correctness of Satisfiability Modulo Theories (SMT) solvers used in automated theorem proving. I have independently studied category theory and topos theory as complementary areas of interest, with the goal of contributing to these fields in the future.

I am also a member of Europroof working group 1: Tools on Proof Systems Interoperability.

Research interests:

Publications

Conference papers

[Accepted] Checking Linear Integer Arithmetic Proofs in Lambdapi

Alessio Coltellacci, Stephan Merz

FroCoS (2025)

Reconstruction of SMT proofs with Lambdapi

Alessio Coltellacci, Stephan Merz

Computer Aided Verification (CAV 2024), CEUR Workshop Proceedings (2024)

Reconstruction of TLAPS proofs solved by veriT in lambdapi

Alessio Coltellacci, Stephan Merz

ABZ 2023 (doctoral symposium) (2023)

Journal papers

[Submitted] Reconstruction of SMT proofs with Lambdapi

Alessio Coltellacci, Bruno Andreotti, Haniel Barbosa, Gilles Dowek, Stephan Merz

Acta Informatica (2025)

Education

Teaching