Feb 24, 2025 · Deterministic algorithms usually have a well-defined worst-case time complexity. Time complexity of non-deterministic algorithms is often described in terms of expected …

"$L$ is solvable by non deterministic algorithms in polynomial time" means that there exists a non-deterministic turing machine $M$, and a polynomial $p$ s.t. for all $x \in L$, $M$ accepts $x$ …

In computer science and computer programming, a nondeterministic algorithm is an algorithm that, even for the same input, can exhibit different behaviors on different runs, as opposed to a …

The single most important non-deterministic complexity class is nondeterministic polynomial time, denoted by NP. Its relationship with the class P (deterministic polynomial time) is perhaps the …

polynomial-time algorithms: Definition 13.1 The running time T(n) of a nondeterministic algorithm A (whether a TM or a Word-RAM) is the maximum number of steps to reach a halting …

Lecture 6: Non-deterministic Polynomial Time Anup Rao April 15, 2021 In the last class, we introduced the concept of complexity classes. We saw the classes P, L, E, EXP and PSPACE. …

Mar 16, 2025 · A Non-Deterministic Algorithm is an algorithm that, when executed with the same input, may produce different outputs or follow different execution paths. This non-determinism …

A probabilistic algorithm (Turing Machine) is a non-deterministic algorithm that makes non-deterministic choices randomly, e.g. by flipping a coin This is still not practical, because …

(a) Every language L2NTIME(f(n)) has a witness of length O(f(n)) and time O(n). (b) If language L has a witness of length f(n) and time g(n) then L is in NTIME(g(n + 1 +f(n))). Proof (a): Let T be …

We now present a more general deterministic simulation. We show that nonde-terministic machines running in time t can be simulated by deterministic machines running in time 2O(t). …