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  • Arend - Arend Theorem Prover
    Arend is a theorem prover based on Homotopy Type Theory It natively supports higher inductive types and a version of cubical syntax IntelliJ Arend is a plugin for IntelliJ IDEA that turns it into a full-fledged IDE for the Arend language
  • Tutorial - Arend Theorem Prover
    The Arend Theorem Prover Tutorial Arend language is based on homotopy type theory For that reason, the most natural explanation for many language constructs in Arend, including the very basic ones, would be in terms of notions from homotopy theory However, it is also possible to abstract away from homotopical semantics and to consider the layer of Arend that corresponds simply to a variant
  • About - Arend Theorem Prover
    The Arend Theorem Prover About Arend Arend implements a version of homotopy type theory with an interval type, which syntax is similar to cubical type theory This implies several nice properties of path types and allows for a simple and clean definition of higher inductive types (including recursive ones) To learn more about homotopy features implemented in Arend, see Arend Features Arend
  • Getting Started - Arend Theorem Prover
    The Arend Theorem Prover Getting Started Welcome to the Getting Started section of the Arend Manual The aim of this section is to help you to begin working with Arend: Arend is available either as an IntelliJ IDEA plugin (see IntelliJ Arend for the installation instructions) or as a console application (see Console Application for the installation instructions) There are the following
  • Documentation - Arend Theorem Prover
    The Arend Theorem Prover Documentation For the installation instructions, see Getting Started Language Reference contains a description of the Arend language Tutorial contains a more gentle introduction to the Arend language Libraries describes how to manage Arend libraries Standard Extensions explains the language extensions implemented in the standard library To learn how to write
  • Arend Features - Arend Theorem Prover
    Arend Features Arend implements a version of homotopy type theory with an interval type, which syntax is similar to cubical type theory This implies several nice properties of path types and allows for a simple and clean definition of higher inductive types (including recursive ones)
  • Arend 1. 10. 0 released - Arend Theorem Prover
    Arend 1 1 0 released Arend now has proof irrelevant universe of proposition and the plugin can run the typechecker automatically in background
  • Short tutorial - Arend Theorem Prover
    Short tutorial Short tutorial This tutorial has two goals: Show how to prove a simple theorem in Arend Demonstrate the features of IntelliJ Arend that speed-up theorem proving, make it more convenient and truly interactive Before getting started, make sure you have installed IntelliJ Arend and created a new project Here we use Arend 1 7 and IntelliJ Arend 2021 3 2 As a working example, we
  • Downloading Arend - Arend Theorem Prover
    To see command line options, run java -jar Arend jar --help To create an Arend project, follow instructions here Standard Library The standard library arend-lib contains a number of essential definitions and proofs, in particular, in constructive algebra and homotopy theory





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