133 citations · 208 across the 7 of their papers we have counts for
8 papers · 1 filter
On the Power and Limitations of Branch and Cut
Noah Fleming, Mika Göös, Russell Impagliazzo +4
The Stabbing Planes proof system was introduced to model the reasoning carried out in practical mixed integer programming solvers. As a proof system, it is powerful enough to simul…
Automating Cutting Planes is NP-Hard}
Mika Göös, Sajin Koroth, Ian Mertz +1
We show that Cutting Planes (CP) proofs are hard to find: Given an unsatisfiable formula , 1) It is NP-hard to find a CP refutation of in time polynomial in the length of th…
Towards a Complexity-theoretic Understanding of Restarts in SAT solvers
Chunxiao Li, Noah Fleming, Marc Vinyals +2
Restarts are a widely-used class of techniques integral to the efficiency of Conflict-Driven Clause Learning (CDCL) Boolean SAT solvers. While the utility of such policies has been…
Lifting with Simple Gadgets and Applications to Circuit and Proof Complexity
Susanna F. de Rezende, Or Meir, Jakob Nordström +3
We significantly strengthen and generalize the theorem lifting Nullstellensatz degree to monotone span program size by Pitassi and Robere (2018) so that it works for any gadget wit…
Query-to-Communication Lifting for BPP
Mika Göös, Toniann Pitassi, Thomas Watson
For any -bit boolean function , we show that the randomized communication complexity of the composed function , where is an index gadget, is characterized by…
Random CNFs are Hard for Cutting Planes
Noah Fleming, Denis Pankratov, Toniann Pitassi +1
The random k-SAT model is the most important and well-studied distribution over k-SAT instances. It is closely connected to statistical physics; it is used as a testbench for satis…