These proceedings contain a selection of refereed papers presented at or related totheAnnualWorkshopoftheTYPESproject(EUcoordinationaction510996), which was held during May 2-5, 2007 in Cividale del Friuli (Udine), Italy. The topic of this workshop was formal reasoning and computer progr- ming basedon type theory: languagesand computerized toolsfor reasoning, and applications in several domains such as analysis of programming languages, c- ti?ed software, formalization of mathematics and mathematics education. The workshopwasattended by morethan 100researchersandincluded morethan 40 presentations. We also had the pleasure of three invited lectures, from Fr ed eric Blanqui (INRIA, Protheo team), Peter Sewell (University of Cambridge) and Amy Felty (University of Ottawa). From 22 submitted papers, 13 were selected after a reviewing process. Each submitted paper was reviewed by three referees; the ?nal decisions were made by the editors. This workshop is the last of a series of meetings of the TYPES working group funded by the European Union (IST project 29001, ESPRIT Working Group 21900, ESPRIT BRA 6435)."

ETAPS 2001 was the fourth instance of the European Joint Conferences on Theory and Practice of Software. ETAPS is an annual federated conference that was established in 1998 by combining a number of existing and new conferences. This year it comprised ve conferences (FOSSACS, FASE, ESOP, CC, TACAS), ten satellite workshops (CMCS, ETI Day, JOSES, LDTA, MMAABS, PFM, RelMiS, UNIGRA, WADT, WTUML), seven invited lectures, a debate, and ten tutorials. The events that comprise ETAPS address various aspects of the system de- lopment process, including speci cation, design, implementation, analysis, and improvement. The languages, methodologies, and tools which support these - tivities are all well within its scope. Di erent blends of theory and practice are represented, with an inclination towards theory with a practical motivation on one hand and soundly-based practice on the other. Many of the issues involved in software design apply to systems in general, including hardware systems, and the emphasis on software is not intended to be exclusive.