• Corpus ID: 238408060

From dependent type theory to higher algebraic structures

  title={From dependent type theory to higher algebraic structures},
  author={Chaitanya Leena Subramaniam},
The first part of this dissertation defines"dependently typed algebraic theories", which are a strict subclass of the generalised algebraic theories (GATs) of Cartmell. We characterise dependently typed algebraic theories as finitary monads on certain presheaf categories, generalising a well-known result due to Lawvere, B\'enabou and Linton for ordinary multisorted algebraic theories. We use this to recognise dependently typed algebraic theories for a number of classes of algebraic structures… 

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