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Why are proofs valuable?

Since the 1970s, research in cryptographic primitives has led to advances in proofs that have provided two useful innovations. The first is data compression: decreasing computa­tional power or bandwidth required to solve a problem without a material change in the result. The second is security. The first interactive proof involved flipping a “fair” coin over a telephone. What does this mean? Cryptographic primitives1 enabled two people with no physical access to each other or a shared coin (trusted or otherwise) to determine the result of a 50/50 “coin flip” in a completely trustless manner by following a protocol. That protocol is an interactive proof.

Please note that the trust-minimized environment created by proofs is different than the trust-minimized environment created by consensus mechanisms2 which utilize majority rule alongside proofs known as cryptographic signatures. Cryptographic signatures3 are a form of a zero-knowledge proof.

covers:

  • Why are proofs valuable?
  • What are the current substitute products for proofs?
  • Why should you care?
  • How do proofs work?
  • What are the critical proof strategies and their features?
  • Problems that proofs must solve to become commercially viable
  • What are the solutions to the problems?
  • Who is working on these problems?
  • Key terms


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