Almost free algebras have polynomial-time decidable problems for canonical forms, class cardinalities, finiteness checks, and isomorphism, plus quantifier elimination after adding tester predicates via a new approach.
A uniform method for proving lower bounds on the computational complexity of logical theories.Annals of pure and applied logic, 48(1):1–79
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Almost free algebras: from the word problem to elimination of quantifiers
Almost free algebras have polynomial-time decidable problems for canonical forms, class cardinalities, finiteness checks, and isomorphism, plus quantifier elimination after adding tester predicates via a new approach.