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I am a postdoctoral researcher at the IT University of Copenhagen contributing to the advancement of Quantitative Linear Logic (QLL), with a focus on higher-order extensions and metric-based type-theoretic foundations.

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

My primary research interests are 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 am a member of the CARMA where I contribute to improving the state of the art in SMT solving, and of Europroof working group 1: Tools on Proof Systems Interoperability.

Research interests:

Publications

Conference papers

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

Reconstruction of SMT proofs with Lambdapi

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

Acta Informatica (2026)

Invited Talks

Reconstructing SMT Proofs in Lambdapi

EuroProofNet Symposium WG2, Paris-Saclay University (September 2025)

Education

Teaching