Type of Culminating Activity
Master of Science in Mathematics
M. Randall Holmes, Ph.D.
The oft-emphasized virtue of formal proof is correctness; a machine-checked proof adds greatly to our confidence in a result. But the rigors of formalization give rise to another possible virtue, namely clarity. Given the state of the art, clarity and formality are at odds: complexity of formalization obscures the content of proof. To address this, we develop a notion of proof strategies which extend the well-known notion of proof tactics. Beginning with the foundations of logic, we describe the methods and structures necessary to implement proof strategies, concluding with a proof-of-concept implementation in CheQED, a web-based proof assistant.
Petschulat, Cap, "Transparency in Formal Proof" (2009). Boise State University Theses and Dissertations. Paper 54.