To deconstruct something is to break it down into its parts, to analyze it. When you deconstruct a theory, you are trying to find out how it works and how it is wrong.
The theory was deconstructed by the researcher, who found that it was wrong on many levels.
The deconstruction of the building was a disaster.
verb
interpret (a text or an artwork) by the method of deconstructing
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They planned to deconstruct the pyramids.
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It is not necessary ones'self to deconstruct the theory.
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Let's not deconstruct the article prematurely.
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The band has been deconstructed.
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Let me deconstruct the article for you.
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I deconstructed it in on the talk page in detail.
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Eno felt that they needed to deconstruct the song.
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The cabin was painstakingly deconstructed and moved in 1911.
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The city was literally deconstructed piece by piece.
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In fact, it is possible here to deconstruct the idea of meaning.