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Looking Algebraically at Tractable Quantified Boolean Formulas
Author(s) -
Hubie Chen,
Víctor Dalmau
Publication year - 2005
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-27829-X
DOI - 10.1007/11527695_6
Subject(s) - constraint satisfaction problem , algebraic number , simple (philosophy) , computer science , boolean satisfiability problem , satisfiability , algebra over a field , constraint (computer aided design) , characterization (materials science) , discrete mathematics , mathematics , theoretical computer science , pure mathematics , artificial intelligence , mathematical analysis , philosophy , materials science , geometry , epistemology , probabilistic logic , nanotechnology
We make use of the algebraic theory that has been used to study the complexity of constraint satisfaction problems, to investigate tractable quantified boolean formulas. We present a pair of results: the first is a new and simple algebraic proof of the tractability of quantified 2-satisfiability; the second is a purely algebraic characterization of models for quantified Horn formulas that were given by Buning, Subramani, and Zhao, and described proof-theoretically.

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