Agda vs Coq

Agda — Agda is a dependently typed functional programming language and proof assistant. It is based on intuitionistic type theory and is related to languages like Coq and Idris. Agda is well-suited for devel

Coq — Coq is an open-source proof assistant and functional programming language used to formally specify, develop, and prove properties about computer systems and mathematics. It facilitates writing mathema

Agda offers Dependent types, Pattern matching, Interactive development, Proof assistant, while Coq provides Formal verification of mathematical proofs, Functional programming language, Tactics for guiding proofs, Extraction of executable code from proofs, Large standard library.

Agda stands out for Helps write provably correct software, Strong type system catches errors, Interactive editor assists development; Coq is known for High confidence in correctness of proofs, Ability to extract verified algorithms, Very expressive logic for modeling systems.

Feature	Agda	Coq
Overall Score	N/A	N/A
Primary Category	Development	Development
Pricing	N/A	Open Source

Product Overview

Agda

Description: Agda is a dependently typed functional programming language and proof assistant. It is based on intuitionistic type theory and is related to languages like Coq and Idris. Agda is well-suited for developing verified, correct-by-construction software and proofs.

Coq

Description: Coq is an open-source proof assistant and functional programming language used to formally specify, develop, and prove properties about computer systems and mathematics. It facilitates writing mathematical definitions, executable algorithms, and proofs of theorems in a formal language.

Key Features Comparison

Agda Features

• Dependent types
• Pattern matching
• Interactive development
• Proof assistant

Coq Features

• Formal verification of mathematical proofs
• Functional programming language
• Tactics for guiding proofs
• Extraction of executable code from proofs
• Large standard library

Pros & Cons Analysis

Agda

Pros

• Helps write provably correct software
• Strong type system catches errors
• Interactive editor assists development
• Good for formal proofs

Cons

• Steep learning curve
• Less libraries than Haskell or OCaml
• Hard to debug type errors
• Proofs can be tedious to construct

Coq

Pros

• High confidence in correctness of proofs
• Ability to extract verified algorithms
• Very expressive logic for modeling systems
• Active open source community

Cons

• Significant learning curve
• Proofs can be very tedious to construct
• Limited adoption outside of research

Pricing Comparison

Agda

• Not listed

Coq

• Open Source