POPL 2026
Sun 11 - Sat 17 January 2026 Rennes, France
Mon 12 Jan 2026 14:45 - 15:07 at Belvédère - Proof assistants Chair(s): Sophie Tourret

This paper introduces slam, an Isabelle/HOL tactic and automated theorem prover based on the λ-superposition calculus. An alternative to Isabelle’s metis tactic, slam targets higher-order logic directly, avoiding the overhead introduced by metis’s translations to first-order logic. Like metis, slam can be used as a Sledgehammer backend to reconstruct proofs produced by external higher-order automated theorem provers such as E, Vampire, and Zipperposition.

Mon 12 Jan

Displayed time zone: Brussels, Copenhagen, Madrid, Paris change

14:00 - 15:30
Proof assistantsCPP at Belvédère
Chair(s): Sophie Tourret Inria and Max Planck Institute for Informatics
14:00
22m
Talk
A Certifying Proof Assistant for Synthetic Mathematics in Lean
CPP
Wojciech Nawrocki Carnegie Mellon University, Joseph Hua Carnegie Mellon University, Mario Carneiro Chalmers University of Technology, Yiming Xu LMU Munich, Spencer Woolfson Carnegie Mellon University, Shuge Rong Carnegie Mellon University, Sina Hazratpour Johns Hopkins University, Steve Awodey Carnegie Mellon University
14:22
22m
Talk
Adding Sorts to an Isabelle Formalization of Superposition
CPP
Balazs Toth Ludwig-Maximilians-Universität München, Martin Desharnais Ludwig-Maximilians-Universität München, Jasmin Blanchette Ludwig-Maximilians-Universität München
14:45
22m
Talk
A Lambda-Superposition Tactic for Isabelle/HOL
CPP
Massin Guerdi Ludwig-Maximilians-Universität München
15:07
22m
Talk
Certifying the decidability of the word problem in monoids at large
CPP
Reinis Cirpons St Andrews University, Florent Hivert Univ. Paris-Saclay, LISN, LMF, CNRS, INRIA, Assia Mahboubi INRIA, Guillaume Melquiond Université Paris-Saclay - CNRS - ENS Paris-Saclay - Inria, James Mitchell St Andrews University, Finn Smith St Andrews University