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2.1 Semantical Consequence. Recall the two different consequence relations for modal logics: Local consequence (denoted j=`) and global consequence (denoted j=g). (a) Give an example
2.1 Semantical Consequence. Recall the two different consequence relations for modal logics: Local consequence (denoted j=`) and global consequence (denoted j=g). (a) Give an example of two formulas A and B such that A j=g B but A 6j=` B (i.e. B is a global consequence of A but not a local consequence of A). Justify your claims. (b) Is there also an example for the other way around (i.e. a formula B that is a local consequence of A but not a global consequence of A)? Explain your answer.
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