34 citations · 39 across the 12 of their papers we have counts for
5 papers · 1 filter
SC-TPTP: An Extension of the TPTP Derivation Format for Sequent-Based Calculus
Julie Cailler, Simon Guilloud
Motivated by the transfer of proofs between proof systems, and in particular from first order automated theorem provers (ATPs) to interactive theorem provers (ITPs), we specify an…
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…
Orthologic Type Systems
Simon Guilloud, Viktor Kunčak
We propose to use orthologic as the basis for designing type systems supporting intersection, union, and negation types in the presence of subtyping assumptions. We show how to ext…
Verified and Optimized Implementation of Orthologic Proof Search
Simon Guilloud, Clément Pit-Claudel
We report on the development of an optimized and verified decision procedure for orthologic equalities and inequalities. This decision procedure is quadratic-time and is used as a…