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...a,b,i) = 1</math> if and only if there is a path of length at most <math>2^i</math> connecting <math>a</math> to <math>b</math>. Then, <math>\mathrm{Rea ...ings. The first work string will initially contain the a triple <math>(a,b,i)</math>, where <math>a,b</math> are represented as the indices of the verti

I created the Complexity Zoo with three audiences in mind. ...that, before hoisting one more brick onto the vast edifice of complexity, I'd do well to take stock of what was already known. Some theorists seem abl

...[[Ronald de Wolf]], Shengyu Zhang, and Standa Zivny for helpful comments. I especially thank Lane Hemaspaandra and Bodo Manthey for sending me a great

...lar, if we write out the decimal expansion of <math>f(i)</math> as <math>f(i) = f_{i1} f_{i2} \dots</math>, where each <math>f_{ij} \in {0, 1, 2, 3, 4, ...ng under the rug here: 0.999.... = 1.0000, but they differ in every digit. I say that this technicality is slight, however, as we could deal with this a

...d <i>probability distributions</i>. Well, actually, infinite <i>families</i> of states and distributions, one for each number of bits n. ...<i>classes</i> designated by <i>inscrutable sequences of capital letters</i>. This needs to change. The present Zookeeper has [http://www.cs.berkeley

...ptable, but I've never heard the latter two used in real life (<i>update:</i> Leslie Ann Goldberg tells me that in Britain, they say both "number-P" and

{{CZ-Letter-Section|I}}

...|P-nonuniformity]]), or provide a canonical example of a complexity class (i.e. {{zcls|n|npc|NP-complete}}). ''However, all additions are welcome, and i Given a list <math>X=\{x_i\}_{i=1}^n</math> of integers, do there exist elements <math>a,b,c\in X</math> su

<i>"Now you too can speak Theorese!"</i> On this page I've collected terms that appear (or don't appear) throughout the Complexity

<i>Proceedings of ACM STOC'2002</i>, pp. 635-642, 2002. <i>Proceedings of ACM STOC 2004</i>.

What we just described is a <i>deterministic</i> turing machine. This is because given any current state and a character of ...or a word, the non-deterministic Turing machine <i>will "guess" correctly</i> on each character of the input word which branch to follow in order to re