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math.LO2017★ 1 cited
Finite Inverse Categories as Signatures
Dimitris Tsementzis, Matthew Weaver
We define a simple dependent type theory and prove that its well-formed types correspond exactly to finite inverse categories.
math.LO2017
A Higher Structure Identity Principle
Dimitris Tsementzis
We prove a Structure Identity Principle for theories defined on types of -level 3 by defining a general notion of saturation for a large class of structures definable in the Uni…