The domain for this problem is some unspecified collection of numbers. Consider the predicate P(x, y) = "x is greater than y." (a) Translate the following statement into predicate logic. Every number has a number that is greater than it. (x)(3)(x, y) (((x) (3x)(V)(x,x) (x)(3)(y,x) (3x)(3y)P(y,x) X (b) Negate your expression from part (a), and simplify it so that no quantifier or connective lies within the scope of a neg. (3x)(3)(~P(y, x)) (((()) (3))(-P(x, y)) ((((, x)) (x)(3)(~P(x, x)) X (c) Translate your expression from part (b) into understandable English. Don't use variables in your English translation. O All numbers have a number that they are less than or equal to. O There is a number that has a number that it is less than or equal to. O There is a number that all numbers are greater than or equal to. There is a number that all numbers are less than or equal to. O All numbers are less than or equal to all numbers.

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Inference in AI

The inference is finding a conclusion or result based on any data, events, and any information. Usually, there will be a set of conditions and the conclusion is made, which satisfies all the given conditions are true. The conclusion is made according to the inference rules. Any artificial intelligence agent or an intelligent system uses the inference engine to find a better result or output. The work of the inference engine is to analyze the fact and figures based on all circumstances. After the analysis, the machine concludes this fact and gives it to the agent. The agent uses this conclusion for further processing and decision-making. Intelligent systems will generate new logic from existing ones based on the facts.