A Property Kind Calculus for Measurement Metrology

1. What PropertyKindCalculus provides🔗

This project addresses twenty-eight requirements about formalizing metrology — the science of measurement — and discharges most of them as machine-checked theorems rather than prose. A substantial part of the library is grounded directly on the published ISO and IEC 80000 metrology standards — eleven of the thirteen parts (every part but the two general ones, 1 General and 2 Mathematics), catalogued item by item. The table below is generated directly from the formalized catalogues, so its per-part counts and total stay in step with the Lean source:

Part

Title

Quantity kinds

ISO 80000-3

Space and time

42

ISO 80000-4

Mechanics

54

ISO 80000-5

Thermodynamics

54

IEC 80000-6

Electromagnetism

85

ISO 80000-7

Light and radiation

66

ISO 80000-8

Acoustics

18

ISO 80000-9

Physical chemistry and molecular physics

62

ISO 80000-10

Atomic and nuclear physics

125

ISO 80000-11

Characteristic numbers

115

ISO 80000-12

Condensed matter physics

60

IEC 80000-13

Information science and technology

42

Total

723

  1. 1.1. The paradigm: metrological provenance as taint tracking
  2. 1.2. The calculus at a glance
  3. 1.3. In plain terms — the requirements
  4. 1.4. What an author writes, and what the machine checks