Automata and Computability This textbook provides undergraduate students with an introduction to the basic theoretical models of computability. Students who have already some experience with elementary discrete mathematics will find this a well-paced first course. 67 more words

## Tags » Computability

#### Télécharger E-books AUTOMATA AND COMPUTABILITY

Automata and Computability This textbook provides undergraduate students with an introduction to the basic theoretical models of computability. Students who have already some experience with elementary discrete mathematics will find this a well-paced first course. 67 more words

#### Algorithmic Randomness and Complexity

How random is a real? Given two reals, which is more random? How should we even try to quantify these questions, and how do various choices of measurement relate? 105 more words

#### Failing software - again

The line above is from a real (and current at time-of-posting) job advertisement for a software developer. I’m not positing it because I think it is bad, shocking or dangerous, but mainly because it is illustrative of the real world: developers are expected to be “pragmatic” when it comes to testing the software they make for correctness. 463 more words

#### Guessing Game & Non-computability

```
#include <stdio.h>
int main(){
int n;
printf("==== Guessing Game ====\n\n");
printf("RULE:\n");
printf("1. You guess a number, either 0 or 1.\n");
printf("2. then I will tell you the correct number.\n\n");
printf("Please make a guess 0 or 1:\n");
scanf("%d", &n);
printf("The correct number is %d.\n", !n);
}
… 66 more words
```

#### Not all numbers are computable

When we hear the word number, symbols like 1,,¼, π (area enclosed by a unit circle), ι (symbol for ), ε (infinitesimal), ω (ordinal infinity), ℵ (cardinal infinity), …. 173 more words