This volume contains the proceedings of MPC 2000, the ?fth international c- ference on Mathematics of Program Construction. This series of conferences aims to promote the development of mathematical principles and techniques that are demonstrably useful and usable in the process of constructing c- puter programs (whether implemented in hardware or software). The focus is on techniques that combine precision with concision, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programming methodology, program speci?cation and transformation, programming paradigms, programming calculi, and progr- ming language semantics. The quality of the papers submitted to the conference was in general very high. However,the number of submissions has decreased compared to the pre- ous conferences in the series. Each paper was refereed by at least ?ve and often more committee members. In order to maintain the high standards of the c- ference the committee took a stringent view on quality; this has meant that, in some cases, a paper was rejected even though there was a basis for a good c- ference or journal paper but the submitted paper did not meet the committee’s required standards. In a few cases a good paper was rejected on the grounds that it did not ?t within the scope of the conference.

This volume contains the proceedings of MPC 2000, the ?fth international c- ference on Mathematics of Program Construction. This series of conferences aims to promote the development of mathematical principles and techniques that are demonstrably useful and usable in the process of constructing c- puter programs (whether implemented in hardware or software). The focus is on techniques that combine precision with concision, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programming methodology, program speci?cation and transformation, programming paradigms, programming calculi, and progr- ming language semantics. The quality of the papers submitted to the conference was in general very high. However,the number of submissions has decreased compared to the pre- ous conferences in the series. Each paper was refereed by at least ?ve and often more committee members. In order to maintain the high standards of the c- ference the committee took a stringent view on quality; this has meant that, in some cases, a paper was rejected even though there was a basis for a good c- ference or journal paper but the submitted paper did not meet the committee’s required standards. In a few cases a good paper was rejected on the grounds that it did not ?t within the scope of the conference.

This volume contains the proceedings of TFM2009, the Second International FME Conference on Teaching Formal Methods, organized by the Subgroup of Education of the Formal Methods Europe (FME) association. The conference took place as part of the ?rst Formal Methods Week (FMWeek), held in Ei- hoven, The Netherlands, in November 2009. TFM2009 was a one-day forum in which to explore the successes and fa- ures of formal method (FM) education, and to promote cooperative projects to further educationand training in FMs. The organizersgatheredlecturers,tea- ers,andindustrialpartnersto discusstheir experience,presenttheir pedagogical methodologies, and explore best practices. Interest in FM teaching is growing. TFM2009 followed in a series of events on teaching FMs which includes two BCS-FACS TFM workshops (Oxford in 2003, and London in 2006), the TFM2004 conference (Ghent, 2004, with p- ceedings published as Springer LNCS Volume 3294), the FM-Ed 2006 workshop (Hamilton, co-located with FM2006), FORMED (Budapest, at ETAPS2008), and FMET2008 (Kitakyushu, co-located with ICFEM2008). FMs have an important role to play in the development of complex c- puting systems—a role acknowledged in industrial standards such as IEC61508 and ISO/IEC15408, and in the increasing use of precise modelling notations, semantic markup languages, and model-driven techniques. There is a growing need for software engineers who can work e?ectively with simple, mathematical abstractions, and with practical notions of inference and proof.

This volume contains the proceedings of MPC 2000, the ?fth international c- ference on Mathematics of Program Construction. This series of conferences aims to promote the development of mathematical principles and techniques that are demonstrably useful and usable in the process of constructing c- puter programs (whether implemented in hardware or software). The focus is on techniques that combine precision with concision, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programming methodology, program speci?cation and transformation, programming paradigms, programming calculi, and progr- ming language semantics. The quality of the papers submitted to the conference was in general very high. However,the number of submissions has decreased compared to the pre- ous conferences in the series. Each paper was refereed by at least ?ve and often more committee members. In order to maintain the high standards of the c- ference the committee took a stringent view on quality; this has meant that, in some cases, a paper was rejected even though there was a basis for a good c- ference or journal paper but the submitted paper did not meet the committee’s required standards. In a few cases a good paper was rejected on the grounds that it did not ?t within the scope of the conference.

This volume contains the proceedings of MPC 2000, the ?fth international c- ference on Mathematics of Program Construction. This series of conferences aims to promote the development of mathematical principles and techniques that are demonstrably useful and usable in the process of constructing c- puter programs (whether implemented in hardware or software). The focus is on techniques that combine precision with concision, enabling programs to be constructed by formal calculation. Within this theme, the scope of the series is very diverse, including programming methodology, program speci?cation and transformation, programming paradigms, programming calculi, and progr- ming language semantics. The quality of the papers submitted to the conference was in general very high. However,the number of submissions has decreased compared to the pre- ous conferences in the series. Each paper was refereed by at least ?ve and often more committee members. In order to maintain the high standards of the c- ference the committee took a stringent view on quality; this has meant that, in some cases, a paper was rejected even though there was a basis for a good c- ference or journal paper but the submitted paper did not meet the committee’s required standards. In a few cases a good paper was rejected on the grounds that it did not ?t within the scope of the conference.

This volume contains the proceedings of TFM2009, the Second International FME Conference on Teaching Formal Methods, organized by the Subgroup of Education of the Formal Methods Europe (FME) association. The conference took place as part of the ?rst Formal Methods Week (FMWeek), held in Ei- hoven, The Netherlands, in November 2009. TFM2009 was a one-day forum in which to explore the successes and fa- ures of formal method (FM) education, and to promote cooperative projects to further educationand training in FMs. The organizersgatheredlecturers,tea- ers,andindustrialpartnersto discusstheir experience,presenttheir pedagogical methodologies, and explore best practices. Interest in FM teaching is growing. TFM2009 followed in a series of events on teaching FMs which includes two BCS-FACS TFM workshops (Oxford in 2003, and London in 2006), the TFM2004 conference (Ghent, 2004, with p- ceedings published as Springer LNCS Volume 3294), the FM-Ed 2006 workshop (Hamilton, co-located with FM2006), FORMED (Budapest, at ETAPS2008), and FMET2008 (Kitakyushu, co-located with ICFEM2008). FMs have an important role to play in the development of complex c- puting systems—a role acknowledged in industrial standards such as IEC61508 and ISO/IEC15408, and in the increasing use of precise modelling notations, semantic markup languages, and model-driven techniques. There is a growing need for software engineers who can work e?ectively with simple, mathematical abstractions, and with practical notions of inference and proof.