3.2 Built-ins 27 3.3 Coinduction 40 3.4 Copatterns 42 3.5 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 109 3.24 Module System 112 3.25 Mutual Recursion 117 3.26 Pattern Synonyms 120 3.27 Positivity Checking 121 3.28 Postulates ![Image](/uploads/documents/5/2/8/6/5286fc07e89528d78110b93ebf4e43ed/p5_1 or issue on the GitHub Agda page. This is the manual for the Agda programming language, its type checking, compilation and editing system and related resources/tools. The latest PDF version of this manual

Abstract definitions - Built-ins - Coinduction - Copatterns - Core language - Coverage Checking - Cubical - Cumulativity - Data Types - Flat Modality - Foreign Function Interface Overloading - Mixfix Operators - Module System - Mutual Recursion ○ Pattern Synonyms ○ Positivity Checking ○ Postulates ○ Pragmas ○ Prop ○ Record Types ○ Reflection ○ Rewriting ○ Run-time Types ○ Sort System ○ Syntactic Sugar ○ Syntax Declarations ○ Telescopes ○ Termination Checking ○ Universe Levels ○ With-Abstraction ○ Without K • Tools - Automatic Proof Search

Getting Started o Prerequisites o Installation o Quick Guide to Editing, Type Checking and Compiling Agda Code Language Reference o Abstract definitions o Built-ins Operators o Module System o Mutual Recursion o Pattern Synonyms o Positivity Checking o Postulates o Pragmas o Record Types o Reflection o Rewriting o Safe Agda o Sized Types o Syntactic Sugar o Telescopes o Termination Checking o Universe Levels o With-Abstraction o Without K ## • Tools • Automatic Proof

Abstract definitions - Built-ins - Coinduction - Copatterns - Core language - Coverage Checking - Cubical - Cumulativity - Data Types - Flat Modality - Foreign Function Interface Overloading - Mixfix Operators - Module System - Mutual Recursion ○ Pattern Synonyms ○ Positivity Checking ○ Postulates ○ Pragmas ○ Prop ○ Record Types ○ Reflection ○ Rewriting ○ Run-time Types ○ Sort System ○ Syntactic Sugar ○ Syntax Declarations ○ Telescopes ○ Termination Checking ○ Universe Levels ○ With-Abstraction ○ Without K • Tools - Automatic Proof Search

3.2 Built-ins 27 3.3 Coinduction 40 3.4 Copatterns 42 3.5 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 69 3.11 Foreign 110 3.25 Module System 113 3.26 Mutual Recursion 118 3.27 Pattern Synonyms 121 3.28 Positivity Checking ..... 123 3.29 Postulates ..... 125 3.30 Pragmas ..... 126 3.31 Prop ..... 129 3.32 Sugar ..... 162 3.40 Syntax Declarations ..... 166 3.41 Telescopes ..... 167 3.42 Termination Checking ..... 168 3.43 Universe Levels ..... 170 3.44 With-Abstraction ..... 172 3.45 Without K .

Getting Started o Prerequisites o Installation o Quick Guide to Editing, Type Checking and Compiling Agda Code Language Reference o Abstract definitions o Built-ins Operators o Module System o Mutual Recursion o Pattern Synonyms o Positivity Checking o Postulates o Pragmas o Record Types o Reflection o Rewriting o Safe Agda o Sized Types o Syntactic Sugar o Telescopes o Termination Checking o Universe Levels o With-Abstraction o Without K ## • Tools • Automatic Proof

Getting Started o Prerequisites o Installation o Quick Guide to Editing, Type Checking and Compiling Agda Code Language Reference o Abstract definitions o Built-ins Operators o Module System o Mutual Recursion o Pattern Synonyms o Positivity Checking o Postulates o Pragmas o Record Types o Reflection o Rewriting o Safe Agda o Sized Types o Syntactic Sugar o Telescopes o Termination Checking o Universe Levels o With-Abstraction o Without K ## • Tools • Automatic Proof

Synonyms - Positivity Checking - Postulates - Pragmas - Record Types - Reflection - Rewriting - Safe Agda - Sized Types - Telescopes - Termination Checking - Universe [https://www.github.com/agda/agda]. This is the manual for the Agda programming language, its type checking, compilation and editing system and related tools. A description of the Agda language is given Types - Simple datatypes - Parametrized datatypes - Indexed datatypes - Strict positivity - Foreign Function Interface - Compiler Pragmas - Haskell FFI - JavaScript FFI - Function

Installation - 'Hello world' in Agda - Quick Guide to Editing, Type Checking and Compiling Agda Code - A List of Tutorials Language Reference - Abstract definitions - Module System - Mutual Recursion - Pattern Synonyms - Positivity Checking - Postulates - Pragmas - Prop - Record Types Agda - Sized Types o Syntactic Sugar ○ Syntax Declarations • Telescopes • Termination Checking • Universe Levels With-Abstraction ☐ Without K ## • Tools • Automatic Proof Search (Auto)

Installation - 'Hello world' in Agda - Quick Guide to Editing, Type Checking and Compiling Agda Code - A List of Tutorials Language Reference - Abstract definitions - Module System - Mutual Recursion - Pattern Synonyms - Positivity Checking - Postulates - Pragmas - Prop - Record Types Agda - Sized Types o Syntactic Sugar ○ Syntax Declarations • Telescopes • Termination Checking • Universe Levels With-Abstraction ☐ Without K ## • Tools • Automatic Proof Search (Auto)