36 citations · 72 across the 7 of their papers we have counts for
3 papers · 1 filter
LISA -- A Modern Proof System
Simon Guilloud, Sankalp Gambhir, Viktor Kunčak
We present LISA, a proof system and proof assistant for constructing proofs in schematic first-order logic and axiomatic set theory. The logical kernel of the system is a proof che…
Interpolation and Quantifiers in Ortholattices
Simon Guilloud, Sankalp Gambhir, Viktor Kunčak
We study quantifiers and interpolation properties in \emph{orthologic}, a non-distributive weakening of classical logic that is sound for formula validity with respect to classical…
Mechanized HOL Reasoning in Set Theory
Simon Guilloud, Sankalp Gambhir, Andrea Gilot +1
We present a mechanized embedding of higher-order logic (HOL) and algebraic data types (ADT) into first-order logic with ZFC axioms. We implement this in the Lisa proof assistant f…