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1
Formal verification and informal proofs
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The landscape of formal verification
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History of formal verification systems
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Prove 2+2=4 with simple replacement
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Proof as a tree structure
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Example in Metamath
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How to convert a Metamath proof into a tree
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Speed of verifying proof databases
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Recap and future work
Description:
Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore data-parallel proof verification in a 20-minute conference talk from Dyalog '24 that demonstrates how APL can be leveraged for efficient mathematical proof verification using Metamath. Learn about formal verification systems, their history, and how mathematical proofs can be rigorously verified using computer-processable language. Discover the process of proving basic mathematical concepts like 2+2=4 through simple replacement, understand proof tree structures, and see practical examples in Metamath. Follow along as the conversion of Metamath proofs into tree structures is explained, and examine the performance aspects of verifying large proof databases. The presentation includes detailed slides available in both Prezi and PDF formats, making it easier to grasp the concepts of data-parallel processing in mathematical proof verification, a unique approach not found in existing Metamath systems.

Data Parallel Proof Verification in APL - Using Metamath for Mathematical Databases

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