Jargon
发表于 2025-3-27 01:02:01
Observations on ATPnsight, experience, and other vague and not easily imitable principles are applied. Since the proof procedures are so complex or lengthy, we simply cannot manage unless we somehow discover peculiar connections in each particular case.
Genetics
发表于 2025-3-27 01:10:38
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ICLE
发表于 2025-3-27 08:44:39
Process and Existence in Mathematicses triangle and observe it. The happy idea of constructing a new line from the top vertex to the base enables us to notice relations between the parts of the new diagram, thereby proving the conclusion. Or, alternatively, we can do this by observing the possibility of a rigid motion in space that in
Camouflage
发表于 2025-3-27 13:11:46
Logic, Computation and Philosophy complexity the comprehension of which usually requires a lower order of intellectual capacity. In the words of Descartes, « For whenever single facts have been immediately deduced the one from the other, they have been already reduced, if the inference was evident, to a true intuition. But if we in
Facet-Joints
发表于 2025-3-27 14:30:55
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packet
发表于 2025-3-27 18:13:51
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阴险
发表于 2025-3-28 01:59:07
Observations on ATPalculation are generally more exact than rules of proof. (3) Procedures of calculation are usually terminating (decidable, recursive) or can be made so by fairly well-developed methods of approximation. Procedures of proof, however, are often nonterminating (undecidable or nonrecursive, though recur
彩色的蜡笔
发表于 2025-3-28 03:36:11
Proving Theorems by Pattern Recognition, IIng logic. A proof procedure for the predicate calculus is given that contains a few minor peculiar features. A fairly extensive discussion of the decision problem is given, including a partial solution of the (x) (Ey) (z) satis fiability case, an alternative procedure for the (x) (y) (Ez) case, and
Debate
发表于 2025-3-28 08:01:28
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边缘
发表于 2025-3-28 11:00:01
Towards Feasible Solutions of the Tautology Problem are established in Section 12.3 to yield generally more efficient methods for many expressions. Combinatorial metatheorems concerning the tautology problem are proved in Section 12.4 Special partial methods are developed in Sections 12.6 and 12.7 which yield efficient solutions to two sets of hard