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Thomas Streicher

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Austrian mathematician (1958–2025)
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Thomas Streicher (11 February 1958 – 2 January 2025) was an Austrian mathematician who was a Professor ofMathematics atTechnische Universität Darmstadt. He received his PhD in 1988 from theUniversity of Passau with advisorManfred Broy.

Life and work

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Streicher's research interests includedcategorical logic,domain theory andMartin-Löf type theory.

In joint work withMartin Hofmann [de] he constructed a model forintensionalMartin-Löf type theory whereidentity types are interpreted asgroupoids. This was the first model with non-trivial identity types, i.e. other thansets. Based on this work[1] other models with non-trivial identity types were studied, includinghomotopy type theory which has been proposed as a foundation for mathematics inVladimir Voevodsky's research programUnivalent Foundations of Mathematics.

Together with Martin Hofmann he received the 2014LICS Test-of-Time Award for the paper:The groupoid model refutes uniqueness of identity proofs.

Streicher died on 2 January 2025, at the age of 66.[2]

Bibliography

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  • T. Streicher (1991),Semantics of Type Theory: Correctness, Completeness, and Independence Results, Birkhäuser Boston.ISBN 3764335947
  • M. Hofmann and T. Streicher (1996),The groupoid interpretation of type theory, in Sambin, Giovanni (ed.) et al., Twenty-five years of constructive type theory. Proceedings of a congress, Venice, Italy, October 19–21, 1995.
  • T. Streicher (2006),Domain-theoretic Foundations of Functional Programming, World Scientific Pub Co Inc.ISBN 9812701427

References

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  1. ^Awodey, Steve (2010). "Type Theory and Homotopy".arXiv:1010.1810 [math.CT].
  2. ^"Thomas Streicher".VRM Trauer. Retrieved29 January 2025.

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