Dependable systems are needed throughout the world especially where any errors could cause loss of life. Examples are Airlines, Power Stations, Railway signaling etc.
Academic
Universities and Colleges throughout the world are doing research in this field and are providing courses to teach areas like formal methods in system specification & design.
Visit this list of Academic web sites for more information.
Commercial
Companies for which safety critical systems are an issue are involved in using formal methods for system specification & design this includes research and development in this field.
Visit this list of Commercial web sites for more information.
Government Organisations
Some government organisations fund research and development in this field they can also be involved in a similar way as private companies are.