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This paper defines the (first-order) conflict resolution calculus: an extension of the resolution calculus inspired by techniques used in modern Sat-solvers. The resolution inference rule is restricted to (first-order) unit propagation and the calculus is extended with a mechanism for assuming decision literals and with a new inference rule for clause learning, which is a first-order generalization...
Our theorem proving system named TTP (which is short for Teaching Theorem Proving) can construct the natural deduction proofs of the first-order logic formulas with quantifiers. It is written in CLISP. It has 4 learning models. Students can use the system to do their logic homework step by step and learn the skills of proving logic theorems. If they don't know how to prove the theorems, they can ask...
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