## Welcome to Agda’s documentation!  • Overview • Overview • Getting Started • What is Agda? • Installation Installation • 'Hello world' in Agda • A Taste of Agda • A List of Tutorials • Language Reference • Abstract definitions • Built-ins • Coinduction • Copatterns • Core Core language • Coverage Checking • Cubical • Cubical compatible • Cumulativity • Data Types • Flat Modality • Foreign Function Interface • Function Definitions

Agda User Manual Release 2.6.2 The Agda Team Jun 19, 2021 Powered by TCPDF (www.tcpdf.org) ## Contents 1 Overview 3 2 Getting Started 5 2.1 What is Agda? 5 2.2 Installation 7 2.3 'Hello 'Hello world' in Agda 13 2.4 A Taste of Agda 14 2.5 A List of Tutorials 22 3 Language Reference 25 3.1 Abstract definitions 25 3.2 Built-ins 27 3.3 Coinduction 40 3.4 Copatterns 42 3.5 Core Core language 45 3.6 Coverage Checking 48 3.7 Cubical 51 3.8 Cumulativity 64 3.9 Data Types 66 3.10 Flat Modality 68 3.11 Foreign Function Interface 69 3.12 Function Definitions 75 3.13

## Welcome to Agda's documentation!  • Overview • Getting Started What is Agda? Prerequisites ○ Installation ○ ○ ‘Hello world’ in Agda ○ Quick Guide to Editing, Type Checking and Compiling Agda Code ○ A List of Tutorials • Language Reference ☐ Abstract definitions ☐ Built-ins ○ Coinduction • Copatterns Copatterns Core language Cubical o Cumulativity. ○ Data Types ○ Flat Modality. Foreign Function Interface ☐ Function Definitions Function Types Generalization of Declared Variables • Implicit Arguments

## Welcome to Agda's documentation! Overview Getting Started - What is Agda? - Prerequisites - Installation - 'Hello world' in Agda - Quick Guide Guide to Editing, Type Checking and Compiling Agda Code - A List of Tutorials Language Reference - Abstract definitions - Built-ins - Coinduction - Copatterns - Core language - Cubical - Data Types - Foreign Function Interface - Function Definitions - Function Types - Generalization of Declared

## Welcome to Agda's documentation! Overview Getting Started o Prerequisites o Installation o Quick Guide to Editing, Type Checking and Compiling Agda Code Language Reference Postulates o Pragmas o Record Types o Reflection o Rewriting o Safe Agda o Sized Types o Syntactic Sugar o Telescopes o Termination Checking Management • Contribute • Documentation • The Agda License • The Agda Team ## I ndices and tables • Index • Search Page ## Overview ## Note The Agda User Manual is a work-in-progress and is still

Agda User Manual Release 2.6.0 The Agda Team Apr 12, 2019 Powered by TCPDF (www.tcpdf.org) ## Contents 1 Overview 1 2 Getting Started 3 2.1 What is Agda? 3 2.2 Prerequisites 5 2.3 Installation Installation 5 2.4 'Hello world' in Agda 8 2.5 Quick Guide to Editing, Type Checking and Compiling Agda Code 9 2.6 A List of Tutorials 10 3 Language Reference 13 3.1 Abstract definitions definitions 13 3.2 Built-ins 16 3.3 Coinduction 26 3.4 Copatterns 28 3.5 Core language 31 3.6 Cubical 32 3.7 Data Types 44 3.8 Foreign Function Interface 47 3.9 Function Definitions 52 3.10 Function

Agda User Manual Release 2.6.1.2 The Agda Team Feb 03, 2021 Powered by TCPDF (www.tcpdf.org) ## Contents 1 Overview 3 2 Getting Started 5 2.1 What is Agda? 5 2.2 Prerequisites 7 2.3 Installation Installation 7 2.4 'Hello world' in Agda 11 2.5 Quick Guide to Editing, Type Checking and Compiling Agda Code 11 2.6 A List of Tutorials 13 3 Language Reference 17 3.1 Abstract definitions definitions 17 3.2 Built-ins 20 3.3 Coinduction 31 3.4 Copatterns 33 3.5 Core language 36 3.6 Cubical 37 3.7 Cumulativity 49 3.8 Data Types 51 3.9 Flat Modality 53 3.10 Foreign Function Interface

Agda User Manual Release 2.6.4.1 The Agda Team Nov 30, 2023 Powered by TCPDF (www.tcpdf.org) ## CONTENTS 1 Overview 3 2 Getting Started 5 2.1 What is Agda? 5 2.2 Installation 7 2.3 'Hello 'Hello world' in Agda 14 2.4 A Taste of Agda 15 2.5 A List of Tutorials 23 3 Language Reference 27 3.1 Abstract definitions 27 3.2 Built-ins 30 3.3 Coinduction 43 3.4 Copatterns 47 3.5 5 Core language 50 3.6 Coverage Checking 53 3.7 Cubical 57 3.8 Cubical compatible 72 3.9 Cumulativity 73 3.10 Data Types 74 3.11 Flat Modality 77 3.12 Foreign Function Interface 78 3.13

Agda User Manual Release 2.6.4.3 The Agda Team Mar 06, 2024 Powered by TCPDF (www.tcpdf.org) ## CONTENTS 1 Overview 3 2 Getting Started 5 2.1 What is Agda? 5 2.2 Installation 7 2.3 'Hello 'Hello world' in Agda 14 2.4 A Taste of Agda 15 2.5 A List of Tutorials 23 3 Language Reference 27 3.1 Abstract definitions 27 3.2 Built-ins 30 3.3 Coinduction 43 3.4 Copatterns 47 3.5 5 Core language 51 3.6 Coverage Checking 54 3.7 Cubical 57 3.8 Cubical compatible 73 3.9 Cumulativity 73 3.10 Data Types 75 3.11 Flat Modality 78 3.12 Foreign Function Interface 79 3.13

Agda User Manual Release 2.5.4 The Agda Team Jun 02, 2018 Powered by TCPDF (www.tcpdf.org) ## Contents 1 Overview 2 Getting Started 2.1 Prerequisites 2.2 Installation 2.3 Quick Guide to Editing Editing, Type Checking and Compiling Agda Code 3 Language Reference 3.1 Abstract definitions 3.2 Built-ins 3.3 Coinduction 3.4 Copatterns 3.5 Core language 3.6 Data Types 3.7 Foreign Function 3.22 Postulates 3.23 Pragmas 3.24 Record Types 3.25 Reflection 3.26 Rewriting 3.27 Safe Agda 3.28 Sized Types 3.29 Syntactic Sugar 3.30 Telescopes 98 3.31 Termination Checking 98 3.32