Efficient algorithms for combinatorial problems on graphs with bounded, decomposability—a survey
BIT - Ellis Horwood series in artificial intelligence
Network-based heuristics for constraint-satisfaction problems
Artificial Intelligence
Polynomially solvable satisfiability problems
Information Processing Letters
Search problems in the decision tree model (preliminary version)
SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
On generalized Horn formulas and k-resolution
Theoretical Computer Science
Regular resolution versus unrestricted resolution
SIAM Journal on Computing
Intelligent backtracking on constraint satisfaction problems: experimental and theoretical results
Intelligent backtracking on constraint satisfaction problems: experimental and theoretical results
Using the Groebner basis algorithm to find proofs of unsatisfiability
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
A partial k-arboretum of graphs with bounded treewidth
Theoretical Computer Science
Hard problems for CSP Algorithms
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
A Computing Procedure for Quantification Theory
Journal of the ACM (JACM)
The Unit Proof and the Input Proof in Theorem Proving
Journal of the ACM (JACM)
On the complexity of choosing the branching literal in DPLL
Artificial Intelligence
Investigations on autark assignments
Discrete Applied Mathematics - Special issue on Boolean functions and related problems
Nonserial Dynamic Programming
The Propositional Formula Checker HeerHugo
Journal of Automated Reasoning
Satisfiability, Branch-Width and Tseitin Tautologies
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Complexity of Finding Short Resolution Proofs
MFCS '97 Proceedings of the 22nd International Symposium on Mathematical Foundations of Computer Science
A Tutorial on Stålmarcks's Proof Procedure for Propositional Logic
FMCAD '98 Proceedings of the Second International Conference on Formal Methods in Computer-Aided Design
Stålmarck's Algorithm as a HOL Derived Rule
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
SATO: An Efficient Propositional Prover
CADE-14 Proceedings of the 14th International Conference on Automated Deduction
Non-Automatizability of Bounded-Depth Frege Proofs
COCO '99 Proceedings of the Fourteenth Annual IEEE Conference on Computational Complexity
No feasible interpolation for TC/sup 0/-Frege proofs
FOCS '97 Proceedings of the 38th Annual Symposium on Foundations of Computer Science
A Study of Proof Search Algorithms for Resolution and Polynomial Calculus
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Examples of hard tautologies in the propositional calculus
STOC '81 Proceedings of the thirteenth annual ACM symposium on Theory of computing
On the validity and complexity of bounded resolution
STOC '75 Proceedings of seventh annual ACM symposium on Theory of computing
Simplified and improved resolution lower bounds
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Resolution is Not Automatizable Unless W[P] is Tractable
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
On the lengths of proofs in the propositional calculus.
On the lengths of proofs in the propositional calculus.
STACS'99 Proceedings of the 16th annual conference on Theoretical aspects of computer science
Resolution Complexity of Random Constraints
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Present and Future of Practical SAT Solving
Complexity of Constraints
Backdoors in the Context of Learning
SAT '09 Proceedings of the 12th International Conference on Theory and Applications of Satisfiability Testing
Measuring the hardness of SAT instances
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
Polynomial time SAT decision, hypergraph transversals and the hermitian rank
SAT'04 Proceedings of the 7th international conference on Theory and Applications of Satisfiability Testing
SAT'06 Proceedings of the 9th international conference on Theory and Applications of Satisfiability Testing
Constraint Satisfaction Problems in Clausal Form I: Autarkies and Deficiency
Fundamenta Informaticae
Generalising Unit-Refutation Completeness and SLUR via Nested Input Resolution
Journal of Automated Reasoning
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Capturing propositional logic, constraint satisfaction problems and systems of polynomial equations, we introduce the notion of systems with finite instantiation by partial assignments, fipa-systems for short, which are independent of special representations of problem instances, but which are based on an axiomatic approach with instantiation (or substitution) by partial assignments as the fundamental notion. Fipa-systems seem to constitute the most general framework allowing for a theory of resolution with nontrivial upper and lower bounds. For every fipa-system we generalise relativised hierarchies originating from generalised Horn formulas [14,26,33,43], and obtain hierarchies of problem instances with recognition and satisfiability decision in polynomial time and linear space, quasi-automatising relativised and generalised tree resolution and utilising a general “quasi-tight” lower bound for tree resolution. And generalising width-restricted resolution from [7,14,25,33], for every fipa-system a (stronger) family of hierarchies of unsatisfiable instances with polynomial time recognition is introduced, weakly automatising relativised and generalised full resolution and utilising a general lower bound for full resolution generalising [7,17,25,33].