## Can I use algebra boolean to reduce the number of lines in my code?

I am recently studding computer science and I was introduced in algebra boolean. It seems that algebra bool is used to simplify logic gates in hardware in order to make the circuit design minimal and thus cheaper. Is there any similar way that you can use it to reduce the number of codes in your software in higher level like C++, c# or any other higher languages?

## RAM BSS model based (or its variant) computer recognizing Boolean languages

Can any RAM BSS model based machine, or machines which are variants, recognize boolean languages? If so which languages are recognizable by RAM/BSS nachines, or its variants?(A variant could be to allow comparison. Or a RAM/BSS with weaker assumptions).

## Warning: mysqli_fetch_array() expects parameter 1 to be mysqli_result, boolean given (PHP)

Warning: mysqli_fetch_array() expects parameter 1 to be mysqli_result, boolean given

Все статьи пересмотрел, не помогло. Первоначальный код такой:

$row = mysqli_fetch_array($  result); 

Какой второй должен быть параметр чтобы ошибка ушла?

## n-DNF boolean formula k satisfiability

Given an n variable boolean DNF formula and a number k, does this formula has satisfying input combination greater than k?. (0<=k<=2^n). Where input is infinite number of n tuples where repeating tuple is possible. For exampl. F(a,b) =ab + a’b. Input set is (11,00,11,01) and k=2. Answer is 3 here so decision says yes as 3>k. Can i define this problem in more formal way and prove that it is np/npc/ anything else. I am looking for suggestions specially for infinite number of tuples. I am aware of npc and reduction stuffs but need help to classify this problem properly.

## How to create a jump code for the following boolean expression?

I want to create a jump code statement for the following boolean expression how can I do that? Can someone give me an example which helps me to solve further problems related to the same?

if(a>b) and (c>d) or(e!=f) then -clause else else-clause 

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I have been stuck with this problem for a while now. I have a proof that letting $$U$$ be an ultrafilter, exactly one of $$x,x^*$$ belongs to $$U$$ for all $$x$$ in $$B$$, I did this by showing that both belong to $$U$$ implies that $$U=B$$ which cannot be the case, and if neither long to $$U$$ then a contradiction can be derived by de-Morgan’s laws. However, I’m stuck with the reverse implication, I need to prove that:

“If $$U$$ is a subset of a Boolean algebra $$B$$ such that $$\forall x \in B$$, exactly one of $$x \in U$$ and $$x^* \in U$$ is true.

Is this even the case? Any help would be greatly appreciated, thanks in advance.