Equation 3 · Part 4 · How AI Models Learned to Use Tools: A Protocol History
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
That parallel is precise enough to formalize, and doing so exposes the actual economic assumption both protocols are making rather than merely asserting it. Let M be the number of distinct hosts — editors, for LSP; agent frameworks and model-serving applications, for MCP — and N be the number of distinct targets — languages, for LSP; tools and data sources, for MCP. Wiring every host to every target independently, the way plugins and early framework wrappers did, requires . separate integrations, because nothing built for one pair transfers to any other. A protocol that both sides implement exactly once instead collapses this to
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
Sources cited in the article section
- [10] Introducing the Model Context Protocol ↗
- [11] Specification ↗
- [12] JSON-RPC 2.0 Specification ↗
- [13] Language Server Protocol ↗
These citations provide research context; check each source for the exact claim it supports.