By Przemyslaw Broniek
This quantity considers the computational complexity of identifying even if a method of equations over a hard and fast algebra A has an answer. It examines intimately the 2 difficulties this ends up in: SysTermSat(A) and SysPolSat(A), during which equations are equipped out of phrases or polynomials, respectively. The ebook characterizes these algebras for which SysPolSat may be solved in a polynomial time. to date, stories and their results haven't coated algebras that generate a spread admitting style 1 within the experience of Tame Congruence thought. because unary algebras admit simply variety 1, this ebook makes a speciality of those algebras to take on the most challenge. It discusses a number of features of unary algebras and proves that the Constraint delight challenge for relational buildings is polynomially akin to SysTermSat over unary algebras. The book’s ultimate chapters speak about partial characterizations, current conclusions, and describe the issues which are nonetheless open.
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