2 papers
cs.LO2026
A Machine-checked Proof of Consistency for Impredicative Pure Type Systems
Sebastián Urciuoli
In this paper we continue assessing the feasibility of the approach to the mechanization of type theory by using classical syntax and Stoughton's multiple substitutions and report…
cs.LO2025
On the Formal Metatheory of the Pure Type Systems using One-sorted Variable Names and Multiple Substitutions
Sebastián Urciuoli
We develop formal theories of conversion for Church-style lambda-terms with Pi-types in first-order syntax using one-sorted variables names and Stoughton's multiple substitutions.…