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What is the main goal of the semantic tableau (truth-tree... | QuestionStock

Representative image for question: What is the main goal of the semantic tableau (truth-tree) method in logic?

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Logic

What is the main goal of the semantic tableau (truth-tree) method in logic?

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What is the main goal of the semantic tableau (truth-tree) method in logic?

Options:

To convert formulas into an equisatisfiable CNF using auxiliary variables
To compute the most general unifier for term equations
To transform a proof into a cut-free sequent proof
To decompose formulas systematically to find contradictions or construct a model from an open branch

Correct answer: To decompose formulas systematically to find contradictions or construct a model from an open branch

Explanation: Tableau methods systematically decompose formulas: closed branches yield contradictions, while an open branch yields a concrete model/valuation. Mechanism: an open branch directly defines a satisfying assignment.

Created 2026-03-10T18:48:29.873Z. Updated 2026-03-10T18:48:29.873Z.