Nested satisfiability
Donald E. Knuth

TL;DR
This paper introduces a special hierarchical form of the satisfiability problem that can be solved efficiently in linear time with proper clause representation.
Contribution
It demonstrates that nested satisfiability, a hierarchical variant, is solvable in linear time, unlike general SAT problems.
Findings
Nested satisfiability is solvable in linear time.
Proper clause representation is crucial for efficiency.
Hierarchical structure simplifies the satisfiability problem.
Abstract
A special case of the satisfiability problem, in which the clauses have a hierarchical structure, is shown to be solvable in linear time, assuming that the clauses have been represented in a convenient way.
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Taxonomy
TopicsLogic, Reasoning, and Knowledge · Constraint Satisfaction and Optimization · Formal Methods in Verification
