DepQBF 6.0: A Search-Based QBF Solver Beyond Traditional QCDCL
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Abstract (arXiv)
We present the latest major release version 6.0 of the quantified Boolean formula (QBF) solver DepQBF, which is based on QCDCL. QCDCL is an extension of the conflict-driven clause learning (CDCL) paradigm implemented in state of the art propositional satisfiability (SAT) solvers. The Q-resolution calculus (QRES) is a QBF proof system which underlies QCDCL. QCDCL solvers can produce QRES proofs of QBFs in prenex conjunctive normal form (PCNF) as a byproduct of the solving process. In contrast to traditional QCDCL based on QRES, DepQBF 6.0 implements a variant of QCDCL which is based on a generalization of QRES. This generalization is due to a set of additional axioms and leaves the original Q-resolution rules unchanged. The generalization of QRES enables QCDCL to potentially produce exponentially shorter proofs than the traditional variant. We present an overview of the features implemented in DepQBF and report on experimental results which demonstrate the effectiveness of generalized QRES in QCDCL.
Key facts. Cited by 8 papers in the map (data through 7 Oct 2026). First posted on arXiv 27 Feb 2017.
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Citing papers per year: 2021: 2; 2022: 1; 2023: 4; 2024: 0; 2025: 1.
8 papers.
- 2021Planning with Incomplete Information in Quantified Answer Set Programmingcited by 8
- 2022DPMS: An ADD-Based Symbolic Approach for Generalized MaxSAT Solvingcited by 3
- 2023Implicit State and Goals in QBF Encodings for Positional Games (extended version)cited by 1
- 2021Program Synthesis as Dependency Quantified Formula Modulo Theorycited by 0
- 2023Synthesis with Explicit Dependenciescited by 0
- 2023Concise QBF Encodings for Games on a Grid (extended version)cited by 0
- 2023Tackling Universal Properties of Minimal Trap Spaces of Boolean Networkscited by 0
- 2025An Expansion-Based Approach for Quantified Integer Programmingcited by 0
- 2025An Expansion-Based Approach for Quantified Integer Programming4 Jun 2025
- 2023Tackling Universal Properties of Minimal Trap Spaces of Boolean Networks3 May 2023
- 2023Concise QBF Encodings for Games on a Grid (extended version)29 Mar 2023
- 2023Synthesis with Explicit Dependencies25 Jan 2023
- 2023Implicit State and Goals in QBF Encodings for Positional Games (extended version)18 Jan 2023
- 2022DPMS: An ADD-Based Symbolic Approach for Generalized MaxSAT Solving8 May 2022
- 2021Planning with Incomplete Information in Quantified Answer Set Programming13 Aug 2021
- 2021Program Synthesis as Dependency Quantified Formula Modulo Theory19 May 2021