'Constructive proof' presentation slideshows

A New Approach to the Maximum-Flow Problem

A New Approach to the Maximum-Flow Problem. Andrew V. Goldberg, Robert E. Tarjan Presented by Andrew Guillory. Outline. Background Definitions Push-Relabel Algorithm Correctness / Termination Proofs Sequential Implementation Dynamic Tree Implementation. Maximum Flow Problem.

1.4k views • 71 slides

FORMAL LANGUAGES, AUTOMATA AND COMPUTABILITY

15-453. FORMAL LANGUAGES, AUTOMATA AND COMPUTABILITY. UNDECIDABILITY II: REDUCTIONS. Accept if M accepts w Rejects or loops otherwise . A TM = { (M,w) | M is a TM that accepts string w }. (constructive proof & subtle). A TM is undecidable:. Assume machine H semi-decides A TM.

425 views • 28 slides

531 views • 27 slides

Proving Existentials

Proving Existentials. A proof of a statement of the form ? x P ( x ) is called an existence proof . If the proof demonstrates how to actually find or construct a specific element a such that P ( a ) is true, then it is a constructive proof. Otherwise, it is nonconstructive .

331 views • 22 slides

Models of Computation: Automata and Formal Languages

Models of Computation: Automata and Formal Languages. Sam M. Kim. aaba. acba. aaba. M. G. Models of Language Recognition. Models of Language Generation. What is it about?. Where do we use it?. almost. Everywhere!. Everywhere!. Everywhere!. Everywhere!. Everywhere!.

287 views • 19 slides

Introduction to Graph Theory

Introduction to Graph Theory. Lecture 10: Eulerian and Hamiltonian Graphs. Introduction. In graph theory, we often need to traverse a graph in a particular way. For example, we might want a trail/circuit passing through each edge exactly once. e.g?

154 views • 14 slides