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a) let us define the following:
1. A “vowel group” is a vowel, v "\\in" {‘a’, ‘e’, ‘i’, ‘o’, ‘u’}, or a concatenation of
“two” vowels.
2. A “vowel syllable” is a vowel group.
3. A “consonant syllable” is a “one”, or “two” or at most “three” consonants, c "\\in"
{‘a’, ‘b’, ‘c’, ..., ‘z’} - {‘a’, ‘e’, ‘i’, ‘o’, ‘u’} - {‘d’, ‘v’, ‘w’, ‘x’, ‘z’}, followed by
a vowel group.
Now, a Sesotho word can be described as follows:
1. A vowel syllable is a Sesotho word.
2. A consonant syllable is a Sesotho word.
3. A Sesotho word can begin with a vowel syllable, and thereafter it could be a
mixture of vowel syllables and/or consonant syllables (with at most “two”
consonants).
4. A Sesotho word can start with a consonant syllable, and thereafter it could be a
mixture of vowel syllables and/or consonant syllables.
Draw a finite state automaton (FSA) that can generate/accept Sesotho words as
defined above.
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If it does not rain or if it is not foggy, then the sailing race will be held and the lifesaving demonstration will go on,”, ”If the sailing race is held, then the trophy will be awarded,” and ”The trophy was not awarded” imply the conclusion ”It rained.”
1.construct the truth table for the following compound propositions. Assume all variables denote propositions.A. (pVq) ^ [(~p^q)]B. ~(p—>(q—>(p^q)))C. (p<—>q) V ((~p)—>q)D. (p<—>q) V ((~p)—>(~r))E. (p—>(q—>r))—>((p^q)—>r)
For each of the following sets, determine whether{ 2} is an element of that set. a) {x ∈ R | x is an integer greater than 1} b) {x ∈ R | x is the square of an integer} c) {2,{2}} d) {{2},{{2}}} e) {{2},{2,{2}}} f ) {{{2}}}
~p →~q
~p v {p^q) can get your best answer for this??
Please answer this question.
Translate the given statements into propositional logic using the propositions provided
You can upgrade your operating system only if you have a 32-bit processor running at 1 GHz or faster, at least 1 GB
RAM, and 16 GB free hard disk space, or a 64- bit processor running at 2 GHz or faster, at least 2 GB RAM, and at least
32 GB free hard disk space. Express you answer in terms of u: “You can upgrade your operating system,” b32: “You have
a 32-bit processor,” b64: “You have a 64-bit processor,” g1: “Your processor runs at 1 GHz or faster,” g2: “Your processor
runs at 2 GHz or faster,” r1: “Your processor has at least 1 GB RAM,” r2: “Your processor has at least 2 GB RAM,” h16:
“You have at least 16 GB free hard disk space,” and h32: “You have at least 32 GB free hard disk space.”
Translate the given statements into propositional logic using the propositions provided
To use the wireless network in the airport you must pay the daily fee unless you are a subscriber to the service. Express
your answer in terms ofw: “You can use the wireless network in the airport,” d: “You pay the daily fee,” and s: “You are a
subscriber to the service.”
Translate the given statements into propositional logic using the propositions provided
You can graduate only if you have completed the requirements of your major and you do not owe money to the
university and you do not have an overdue library book. Express your answer in terms of g: “You can graduate,” m: “You
owe money to the university,” r: “You have completed the requirements of your major,” and b: “You have an overdue
library book.”
Translate the given statements into propositional logic using the propositions provided
You can see the movie only if you are over 18 years old or you have the permission of a parent. Express your answer in
terms of m: “You can see the movie,” e: “You are over 18 years old,” and p: “You have the permission of a parent.”
You cannot edit a protected Wikipedia entry unless you are an administrator. Express your answer in terms of e:“You can edit a protected Wikipedia entry” and a: “You are an administrator.”
