Robuta

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https://busy-beavers.tigyog.app/proofs-about-programs Proofs about programs | Busy Beavers! The halting problem be damned — we can prove all kinds of things about programs, and we can even check those proofs with computers! In this chapter, we’ll use... busy beaversproofsprograms https://busy-beavers.tigyog.app/the-halting-problem The halting problem | Busy Beavers! Perhaps your code editor has warned you before: “Unreachable code detected!” But how does it know? And will it warn you about all lines that are unreachable?... halting problembusy beavers https://busy-beavers.tigyog.app/ Busy Beavers! What can computers do? What are the limits of mathematics? And just how busy can a busy beaver be? In this course, you and I will take a practical and modern... busy beavers https://busy-beavers.tigyog.app/incompleteness Gödel’s first incompleteness theorem | Busy Beavers! Back in 1931, Kurt Gödel published his first mathematical mic-drop: “Our formal systems of logic can make statements that they can neither prove nor disprove.”... incompleteness theorembusy beaversfirst