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Heyting Arithmetic.pdf

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Preview of Heyting Arithmetic
🔗 Source: lfcps.org
📊 Size: 180 KB
📄 Pages: 12 pages
⬇️ Downloads: 87

Summary

Constructive Logic discusses Heyting Arithmetic, a constructive system for reasoning about natural numbers. Natural numbers are defined by two introduction rules: 0 : nat and s n : nat if n : nat. The elimination rule, natEx,u, is an induction rule that allows proving a property C of a natural number n by proving C(0) and C(s x) under the assumption C(x). This rule corresponds to proof by induction. The lecture also introduces equality on natural numbers, defined by introduction rules =I00 and =Iss, and discusses how to use the knowledge that n = k.

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Description

Constructive Logic discusses Heyting Arithmetic, a constructive system for reasoning about natural numbers.

Technical Information

  • File Format: PDF
  • File Size: 180 KB
  • Pages: 12
  • Language: EN
  • Total Downloads: 87
  • Last Updated: 7 hours ago

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This PDF document about Heyting Arithmetic provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Heyting Arithmetic.

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Heyting guideHeyting tutorialArithmetic guideArithmetic tutorial

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