2. Dependent Type Theory — Theorem Proving in Lean 3.23.0 ...

Dependent type theory is a powerful and expressive language, allowing us to express complex mathematical assertions, write complex hardware and software ...

Theorem Proving in Lean

... Lean 2, had special support for homotopy type theory ... dependent type theory that is powerful enough to prove almost any conventional mathematical theorem,.

Dependent type theory is a powerful and expressive language, allowing us to express complex mathematical assertions, write complex hardware and software ...

Theorem Proving in Lean | PDF | Mathematical Proof - Scribd

This document provides an introduction to theorem proving in the Lean mathematical proof assistant. It covers the basics of dependent type theory, ...

Dependent Type Theory - Theorem Proving in Lean 4

Types as objects ... One way in which Lean's dependent type theory extends simple type theory is that types themselves --- entities like Nat and Bool --- are ...

Introduction to Lean - Ujjwal Upadhyay

Lean encodes formal language in a version of dependent type theory ... Theorem Proving in Lean — Theorem Proving in Lean 3.23.0 Documentation.

ProofLab: A Short Introduction to Formalising Mathematics in Lean

The Lean proof assistant uses type theory as foundation; we quickly explain ... Theorem Proving in Lean, Re- lease 3.23.0, https://leanprover.github.io ...

Elements of Differential Geometry in Lean - KWARC

The logical system underlying the Lean theorem prover is known as an intensional dependent ... To learn more on Lean's dependent type theory, the reader should ...

arXiv:2110.08453v1 [cs.LO] 16 Oct 2021

a framework for formalizing voting theory in the Lean theorem prover ... Lean's kernel is based on dependent type theory and implements a version ...

Theorem Proving in Lean — Theorem Proving in Lean 3.23.0 ...

Theorem Proving in Lean¶ · 1. Introduction · 1.1. Computers and Theorem Proving · 2. Dependent Type Theory · 2.1. Simple Type Theory · 3. Propositions and Proofs.

Simple formally verified compiler in Lean - uu .diva

actually learning Lean Theorem Proving in Lean [1] or The Hitchhiker's Guide to Formal ... interest for this report is dependent types, the underlying theory that ...

Elements of Differential Geometry in Lean A Report for Mathematicians

The logical system underlying the Lean theorem prover is known as an intensional dependent type theory [Str93]. ... 2)), where p.1 and p.2.

Voting Theory in the Lean Theorem Prover - ACM Digital Library

... dependent types in Lean. References. [1]. Agotnes T, van der Hoek W, and Wooldridge M On the logic of preference and judgment aggregation ...

6. Interacting with Lean — Theorem Proving in Lean 3.23.0 ... - Huihoo

You are now familiar with the fundamentals of dependent type theory ... type theory to explore some pragmatic aspects of interacting with Lean. ... 2 * x ...

Exploring Formalisation - Clara Löh - Universität Regensburg

The Lean proof assistant uses type theory as its foundation. ... As Lean is based on dependent type theory, types are first-class citizens.

(PDF) Voting Theory in the Lean Theorem Prover - ResearchGate

a framework that supports both interactive and automated theorem proving. Lean's kernel is based on dependent type theory and implements a version of the.

Lecture notes on the dependent type theory and Lean's ... - GitHub Gist

- Theorem Proving in Lean 4. https://leanprover.github.io ... The main difference is that Theorems are marked as opaque. -/. def a : ℕ := 2. # ...

What can we mean? - Greg Restall

As we have seen, in a proof assistant implementing a dependent type theory, a proof represents a ... Theorem Proving in Lean, Online manual ( ...

13th International Conference on Interactive Theorem Proving - EMIS

... Theory of computation → Interactive proof systems; Theory of ... 2. User Interface Design in the HolPy Theorem Prover. Bohua Zhan ...

https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP ...

Theorem Proving in Lean. Carnegie Mellon University, 2021. Release 3.23.0 ... The Type Theory of Lean, 2019. Master thesis. URL: https://github.com ...