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Polynomial-time inference of all valid implications for Horn and related formulae

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Question-asking strategies for Horn clause systems
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A linear expected-time algorithm for deriving all logical conclusions implied by a set of boolean inequalities
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Generalized resolution and cutting planes
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A cascade algorithm for the logical closure of a set of binary relations
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A linear-time algorithm for testing the truth of certain quantified boolean formulas
inferredcites →https://doi.org/10.1016/0020-0190(88)90124-xopenalex-snapshot
LTUR: a simplified linear-time unit resolution algorithm for horn formulae and computer implementation
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A quantitative approach to logical inference
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Recognizing disguised NR(1) instances of the satisfiability problem
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Complete problems for deterministic polynomial time
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Linear-time algorithms for testing the satisfiability of propositional horn formulae
inferredcites →https://doi.org/10.1016/0743-1066(87)90014-8openalex-snapshot
Unification as a complexity measure for logic programming
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Symbolic Logic and Mechanical Theorem Proving
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A Way to Simplify Truth Functions
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On Cores and Prime Implicants of Truth Functions
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The Origin of the Method of Iterated Consensus
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The Complexity of Enumeration and Reliability Problems
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Logic for problem solving
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A Machine-Oriented Logic Based on the Resolution Principle
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Renaming a Set of Clauses as a Horn Set
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The complexity of satisfiability problems
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The complexity of theorem-proving procedures
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Building Expert Systems
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Archie Blake. Canonical expressions in Boolean algebra. Dissertation Chicago 1937. Lithographed. The University of Chicago Libraries, Chicago1938, ii + 60 pp.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Strong Backdoors for Default Logic
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On Exact Selection of Minimally Unsatisfiable Subformulae
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Backdoors to satisfaction continued
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Consensus algorithms for the generation of all maximal bicliques
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Unique key Horn functions
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Functional dependencies in Horn theories
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Graph-based methods for Horn knowledge compression
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Why is ATPG easy?
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Strong Backdoors for Default Logic
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Efficient reasoning
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An Incremental Branch-and-Bound Method for the Satisfiability Problem
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Linear Satisfiability Preserving Assignments
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