This talk is intended as a selective survey of proof complexity, focusing on some comparatively weak proof systems that are of partic-ular interest in connection with SAT solving. We will review resolution, polynomial calculus, and cutting planes (related to conflict-driven clause learning, Gröbner basis computations, and pseudo-Boolean solvers, re-spectively) and some proof complexity measures that have been studied for these proof systems. We will also briefly discuss if and how these proof complexity measures could provide insights into SAT solver performance
Abstract—Many fundamental problems in automated theorem proving are known to be NP-Complete. In [4],...
Propositional proof complexity is the study of the lengths of propositional proofs in various differ...
Recent attempts to create versions of Satisfiability (SAT) solversthat exploit parallel hardware and...
This paper is intended as an informal and accessible survey of proof complexity for non-experts, foc...
Running a SAT solver on an UNSAT formula produces (implicitly or explicitly) a proof that the formul...
The study of proof complexity was initiated in [Cook and Reckhow 1979] as a way to attack the P vs.N...
This thesis studies two NP-complete problems, {\it Clique} and {\it Boolean Satisfiability} (SAT), u...
I will survey work on exact algorithms for SAT, analyzed by their worst-case complexity. I will ment...
Thesis (Ph. D.)--University of Washington, 2005.This thesis explores algorithmic applications of pro...
Proof complexity focuses on the complexity of theorem proving procedures, a topic which is tightly l...
There is an increasing interplay between practical implementations of Sat Solvers and theoretical re...
ropositional proof complexity is the study of the resources that are needed to prove formulas in pro...
In this thesis we explore a number of ways in which combinatorial games can be used to help prove re...
The aim of this paper is to gather insight into typical-case complexity of the Boolean Satisfiabilit...
This is a survey of work on proof complexity and proof search from a logico-algorithmic viewpoint, a...
Abstract—Many fundamental problems in automated theorem proving are known to be NP-Complete. In [4],...
Propositional proof complexity is the study of the lengths of propositional proofs in various differ...
Recent attempts to create versions of Satisfiability (SAT) solversthat exploit parallel hardware and...
This paper is intended as an informal and accessible survey of proof complexity for non-experts, foc...
Running a SAT solver on an UNSAT formula produces (implicitly or explicitly) a proof that the formul...
The study of proof complexity was initiated in [Cook and Reckhow 1979] as a way to attack the P vs.N...
This thesis studies two NP-complete problems, {\it Clique} and {\it Boolean Satisfiability} (SAT), u...
I will survey work on exact algorithms for SAT, analyzed by their worst-case complexity. I will ment...
Thesis (Ph. D.)--University of Washington, 2005.This thesis explores algorithmic applications of pro...
Proof complexity focuses on the complexity of theorem proving procedures, a topic which is tightly l...
There is an increasing interplay between practical implementations of Sat Solvers and theoretical re...
ropositional proof complexity is the study of the resources that are needed to prove formulas in pro...
In this thesis we explore a number of ways in which combinatorial games can be used to help prove re...
The aim of this paper is to gather insight into typical-case complexity of the Boolean Satisfiabilit...
This is a survey of work on proof complexity and proof search from a logico-algorithmic viewpoint, a...
Abstract—Many fundamental problems in automated theorem proving are known to be NP-Complete. In [4],...
Propositional proof complexity is the study of the lengths of propositional proofs in various differ...
Recent attempts to create versions of Satisfiability (SAT) solversthat exploit parallel hardware and...