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researcher

P. Lumsdaine

3 papers hereh-index 151.6k citations32 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • last author2

Across the 2 of 3 papers where every author was matched, so the position is known.

fields
  • math.LO2
  • cs.LO1

identity via Semantic Scholar / OpenAlex

most citedThe law of excluded middle in the simplicial model of type theory

3 citations · 3 across the 1 of their papers we have counts for

collaborators

3 papers

math.LO2020

A general definition of dependent type theories

Andrej Bauer, Philipp G. Haselwarter, Peter LeFanu Lumsdaine

We define a general class of dependent type theories, encompassing Martin-Löf's intuitionistic type theories and variants and extensions. The primary aim is pragmatic: to unify and…

math.LO2020★ 3 cited

The law of excluded middle in the simplicial model of type theory

Chris Kapulkin, Peter LeFanu Lumsdaine

We show that the law of excluded middle holds in Voevodsky's simplicial model of type theory. As a corollary, excluded middle is compatible with univalence.

cs.LO2016

A mechanization of the Blakers-Massey connectivity theorem in Homotopy Type Theory

Kuen-Bang Hou, Eric Finster, Dan Licata +1

This paper continues investigations in "synthetic homotopy theory": the use of homotopy type theory to give machine-checked proofs of constructions from homotopy theory We present…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.