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TIFR CSE 2014 | Part B | Question: 15
Consider the set $N^{*}$ of finite sequences of natural numbers with $x \leq_{p}y$ denoting that sequence $x$ is a prefix of sequence $y$. Then, which of the following is true? $N^{*}$ is uncountable. $\leq_{p}$ is a total order. Every non ... -empty subset of $N^{*}$ has a greatest lower bound. Every non-empty finite subset of $N^{*}$ has a least upper bound.
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Set Theory & Algebra
Dec 15, 2017
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tifr2014
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TIFR CSE 2013 | Part B | Question: 4
A set $S$ together with partial order $\ll$ is called a well order if it has no infinite descending chains, i.e. there is no infinite sequence $x_1, x_2,\ldots$ of elements from $S$ such that $x_{i+1} \ll x_i$ and $x_{i+1} \neq x_i$ for all $i$. ... $2^{24}$ words. $W$ is not a partial order. $W$ is a partial order but not a well order. $W$ is a well order.
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Set Theory & Algebra
Dec 15, 2017
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tifr2013
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Theory of computation
Design a TM that decides regular expression {w | w is a string not containing “101” as a substring }.
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Theory of Computation
Nov 7, 2017
293
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