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welcome back to the module for the third lecture of this series on specification and verification of code we in the previous couple of lectures we looked at proposed conditions and we looked at specifying invariants and in particular loop invariants and the loop invariants are used not only to reason about the code in the first place and helping you write it but it also helps you verify it and in fact itamp;#39;s necessary to to verify it this time weamp;#39;re going to look at a standard computer science algorithm binary search and weamp;#39;re going to look at writing and verifying it so let me just remind you that weamp;#39;re doing the the work in using Daphney which is a programming language designed for reasoning and it has features like arrays and loops which are what weamp;#39;re going to use and it also has specifications like pre and post conditions and invariants and it has a verifier that will make use of and if you havenamp;#39;t installed daphne already then heream