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A sentence diagram is a pictorial representation of the grammatical structure of a sentence. The term "sentence diagram" is used more when teaching written language, where sentences are diagrammed. The model shows the relations between words and the nature of sentence structure and can be used as a tool to help recognize which potential ...
The Penrose–Lucas argument is a logical argument partially based on a theory developed by mathematician and logician Kurt Gödel.In 1931, he proved that every effectively generated theory capable of proving basic arithmetic either fails to be consistent or fails to be complete.
This resolution technique uses proof by contradiction and is based on the fact that any sentence in propositional logic can be transformed into an equivalent sentence in conjunctive normal form. [4] The steps are as follows. All sentences in the knowledge base and the negation of the sentence to be proved (the conjecture) are conjunctively ...
Two illustrations of the manner in which constituency tests deliver clues about constituent structure and thus about the correct ICA of a given sentence are now given. Consider the phrase The girl in the following trees: The acronym BPS stands for "bare phrase structure", which is an indication that the words are used as the node labels in the ...
Erica sends Jim Fletcher to visit Linda and question her, but she convinces him that Lizzie's version is correct. She attends Lizzie's trial, where Lizzie – expecting an 18-month extension to her sentence for manslaughter – is given a heavy sentence. Tracey Morris: Sue Devine – episodes 141–198 & (Michelle Thomas – episodes 463–464),
The time for using their method to add a single element to the completion of a partial order is O(cnw) where w is the width of the partial order, that is, the size of its largest antichain. Therefore, the time to compute the completion of a given partial order is O(cn 2 w) = O(cn 3). [12]
The completeness theorem applies to any first-order theory: If T is such a theory, and φ is a sentence (in the same language) and every model of T is a model of φ, then there is a (first-order) proof of φ using the statements of T as axioms. One sometimes says this as "anything true in all models is provable".
The computational complexity of determining whether a given sentence has probability tending to zero or to one is high: the problem is PSPACE-complete. [9] If a first-order graph property has probability tending to one on random graphs, then it is possible to list all the n {\displaystyle n} -vertex graphs that model the property, with ...