A constructive and formal proof of Lebesgue’s Dominated Convergence Theorem in the interactive theorem prover Matita

Coen, Claudio Sacerdoti; Tassi, E.

doi:10.6092/issn.1972-5787/1334

Journal of Formalized Reasoning; Vol 1 2008

DOI: 10.6092/issn.1972-5787/1334

|View full text |Cite

A constructive and formal proof of Lebesgue’s Dominated Convergence Theorem in the interactive theorem prover Matita

Claudio Sacerdoti Coen

E. Tassi

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Other1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Development and user testing of new user interfaces for mathematics and programming tools

Berman¹

View full text Add to dashboard Cite

Interactive theorem provers are software tools that help users create machinechecked proofs. Although difficult to use, they have been playing an important role in the effort to create highly reliable software. I present several novel user interface ideas for interactive theorem provers, generalizable to other mathematics and programming tools. Prototypes tailored to the Coq interactive theorem prover were developed and tested in an experiment with human participants. The results show promising directions for making interactive theorem provers easier to use.ii PUBLIC ABSTRACTThis dissertation discusses the development and testing, with human participants, of several novel user interfaces for interactive theorem provers. Interactive theorem provers are software tools used to precisely describe and correctly reason about mathematical ideas and, in particular, to create and check what are often very complex mathematical proofs. One important application is the development of proofs about software so as to ensure higher levels of reliability in critical (e.g. aviation, automotive, financial, medical) software than are possible with software testing alone. Improved user interfaces for interactive theorem provers are important for allowing more widespread, efficient, and effective use of these tools. In addition, most of the user interface ideas generated in the context of interactive theorem provers can be generalized for use with other applications, especially programming environments, and present new directions for human-computer interaction more broadly.

show abstract

Development and user testing of new user interfaces for mathematics and programming tools

Berman¹

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

A constructive and formal proof of Lebesgue’s Dominated Convergence Theorem in the interactive theorem prover Matita

Cited by 1 publication

References 21 publications

Development and user testing of new user interfaces for mathematics and programming tools

Development and user testing of new user interfaces for mathematics and programming tools

Contact Info

Product

Resources

About