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Oct 24, 2017 at 6:28 vote accept Zephyr
Oct 24, 2017 at 6:27 comment added fade2black @Zephyr That is not true. A subset of a R.E. set does not have to be R.E. For example $N$ is a r.e. set (even recursive), but any non r.e. set is a subset of $N$, for example the complement of the Halting problem set.
Oct 24, 2017 at 6:23 comment added Zephyr I have one more doubt. R.E is not closed under Set difference property. We know that A - B will always be a subset of A. If we go by that, then as A is R.E, A-B is also R.E as it is subset of A.
Oct 23, 2017 at 20:07 comment added fade2black @Zephyr If r.e. sets are not closed under a specific operation $\star$, that does not mean that r.e. sets are (or are not) closed under another operation $*$ even if $*$ can be represented in terms of $\star$.
Oct 23, 2017 at 19:57 history edited fade2black CC BY-SA 3.0
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Oct 23, 2017 at 19:50 comment added Zephyr wikipedia has used a similar argument (union of complements)for proving closure of CFL 's under intersection en.m.wikipedia.org/wiki/Context-free_language
Oct 23, 2017 at 19:39 comment added fade2black @Zephyr See updates. Also, please decide on what question you want to ask, and do not change your OP too often. It may make people's answers obsolete and inconsistent.
Oct 23, 2017 at 19:37 history edited fade2black CC BY-SA 3.0
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Oct 23, 2017 at 19:24 comment added Zephyr See my edit to the question.
Oct 23, 2017 at 19:17 history edited fade2black CC BY-SA 3.0
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Oct 23, 2017 at 19:07 history edited fade2black CC BY-SA 3.0
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Oct 23, 2017 at 19:00 history answered fade2black CC BY-SA 3.0