Function Definitions — Agda 2.8.0 documentation

A function is defined by first declaring its type followed by a number of equations called clauses. Each clause consists of the function being defined applied ...

Function Types — Agda 2.8.0 documentation

Function Definitions; Function Types. Notational conventions. Generalization of ... You can also use the Unicode symbol λ (type “\lambda” or “\Gl” in the Emacs ...

Record Types — Agda 2.8.0 documentation

Note that the parameters A and B are implicit arguments to the projection functions. Elements of record types can be defined using a record expression. p23 : ...

Opaque definitions — Agda 2.8.0 documentation

Function definitions, whether user-written or generated by reflection, can be marked opaque . Outside of opaque blocks, these behave like postulates. Opaque ...

Language Reference — Agda 2.8.0 documentation

Copatterns in function definitions · Mixing patterns and co-patterns · Core ... Cubical compatible · Cumulativity · Basics · Example usage: N-ary functions ...

Termination Checking — Agda 2.8.0 documentation

Switches off termination checker for individual function definitions and mutual blocks and marks them as terminating. Since Agda 2.4.2.1 replaced the ...

Agda User Manual

Page 1. Agda User Manual. Release 2.8.0. The Agda Team. Aug 01, 2024. Page 2. Page 3. CONTENTS. 1 Overview. 3. 2 Getting Started. 5. 2.1. WhatisAgda?

Releases · agda/agda - GitHub

Agda is a dependently typed programming language / interactive theorem prover. - Releases · agda/agda.

Changelog for Agda-2.7.0 - Hackage

Changes to type checker and other components defining the Agda language. Agda now uses discrimination trees to store and look up instance definitions, rather ...

Agda-2.8.0: A dependently typed functional programming language ...

Agda-2.8.0: A dependently typed functional programming language and proof assistant · Agda.Interaction.Options.Errors · Agda.Interaction.Options.Help · Agda.

Instance Arguments — Agda 2.8.0 documentation

... functions that have preconditions less of a burden. As an example, here is how one could use this to define a function that takes a natural number and gives ...

Assisting Agda's termination checker - Stack Overflow

Does this help us? It turns out we can encode what it means for a relation to be well-founded in Agda and then use it to implement your function ...

Core language — Agda 2.8.0 documentation

A program in Agda consists of a number of declarations written in an *.agda file. A declaration introduces a new identifier and gives its type and definition.

agda/Agda.cabal at master - GitHub

Agda is a dependently typed programming language / interactive theorem prover. - agda/Agda.cabal at master · agda/agda.

Dependently Typed Programming in Agda - Page has been moved

Let us start by defining some simple datatypes and functions. 2.1 Datatypes and pattern matching. Similar to languages like Haskell and ML, a key concept in ...

Agda.Interaction.Options.Help

Agda-2.8.0: A dependently typed functional programming language and proof assistant ... Agda.Interaction.Options.Help ... function or pattern defined in this ...

Learn You an Agda - Hacker News

In a Dependently Typed (DT) language like Agda the language of values and the language of types are one and the same. Thus, a function from ...

Built-ins — Agda 2.8.0 documentation

Some built-in types support primitive functions that have no corresponding Agda definition. These functions are declared using the primitive keyword by ...

An Introduction to Programming and Proving in Agda (incomplete ...

the definition of the function not by case analysis (or pattern matching) on the constructors for Bool. Note the following: • Each Agda file ...

On the Bright Side of Type Classes: Instance Arguments in Agda

t → t → Bool, should only be defined for certain types t (e.g.. Bool, Integer) and not for others (e.g. function types). Addition- ally, different ...