About: We introduce new proof systems for quantified Boolean formulas (QBFs) by enhancing Q-resolution systems with rules which exploit local and global symmetries. The rules are based on homomorphisms that admit non-injective mappings between literals. This results in systems that are stronger than Q-resolution with (injective) symmetry rules. We further strengthen the systems by utilizing a dependency system D in a way that surpasses Q(D)-resolution in relative strength.   Goto Sponge  NotDistinct  Permalink

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  • We introduce new proof systems for quantified Boolean formulas (QBFs) by enhancing Q-resolution systems with rules which exploit local and global symmetries. The rules are based on homomorphisms that admit non-injective mappings between literals. This results in systems that are stronger than Q-resolution with (injective) symmetry rules. We further strengthen the systems by utilizing a dependency system D in a way that surpasses Q(D)-resolution in relative strength.
Subject
  • Symmetry
  • Technical analysis
  • Basic concepts in set theory
  • Functions and mappings
  • Quantum field theory
  • Types of functions
  • Formal methods
  • Boolean algebra
  • Satisfiability problems
  • Automated theorem proving
  • PSPACE-complete problems
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