MySQL is a relational database management system (RDBMS) that runs as a server providing multi-user access to a number of databases. wikipedia.org

JavaScript is a prototype-based scripting language that is dynamic, weakly typed and has first-class functions. It is a multi-paradigm language, supporting object-oriented, imperative, and functional programming styles. wikipedia.org

Structured Query Language (SQL) is a programming language designed for managing data in relational database management systems (RDBMS). wikipedia.org

PrestaShop is an e-commerce solution which is free and open source. It supports payment gateways such as Google Checkout, Authorize.net, PayPal and Payments Pro via API. Further payment modules are offered commercially. wikipedia.org

Smarty is a web template system written in PHP. Smarty is primarily promoted as a tool for separation of concerns. Smarty is intended to simplify compartmentalization, allowing the presentation of a web page to change separately from the back-end. wikipedia.org

PHP is a general-purpose server-side scripting language originally designed for web development to produce dynamic web pages. wikipedia.org

jQuery is a cross-browser JavaScript library designed to simplify the client-side scripting of HTML. Its syntax is designed to make it easier to navigate a document, select DOM elements, create animations, handle events, and develop Ajax applications. wikipedia.org