Agda VS Isabelle

Compare Agda VS Isabelle and see what are their differences

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Agda

Agda is a dependently typed functional programming language. It has inductive families, i.e.

Isabelle

Isabelle is a proof assistant for writing and checking mathematical proofs by computer.

Landing page //
2023-10-20

Landing page //
2023-04-29

Agda

Website: wiki.portal.chalmers.se
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Isabelle

Website: cl.cam.ac.uk
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Agda features and specs

Dependent Types
Agda's type system supports dependent types, allowing types to depend on values. This feature enables very expressive type checking, helping catch more errors at compile time and ensuring program correctness.
Strong Verification
Agda is designed with theorem proving in mind, offering strong capabilities for verifying the properties of programs. It allows developers to write and prove properties about their programs, ensuring a high level of reliability.
Interactive Development
Agda provides an interactive environment, which facilitates program development. This feature helps programmers incrementally build programs by receiving immediate feedback and suggestions, improving productivity and understanding.
Pattern Matching
Agda supports sophisticated pattern matching, which simplifies function definitions and enhances code readability. It allows complex data structures to be easily deconstructed and manipulated.

Possible disadvantages of Agda

Steep Learning Curve
Agda has a steep learning curve due to its advanced type system and syntax. Beginners may find it challenging to grasp the concepts of dependent types and formal proofs without prior experience.
Limited Library Support
Compared to more mainstream programming languages, Agda has limited library and tool support. This can make it difficult to find pre-built solutions and may lead to additional work when building certain applications.
Performance Overhead
Due to its focus on correctness and expressive type system, programs written in Agda might experience performance overheads. The additional checks and proofs can sometimes result in slower runtime performance compared to less strict languages.
Smaller Community
Agda has a relatively small community compared to more popular languages. This can result in fewer learning resources, less community support, and potentially slower development of the language and its ecosystem.

Isabelle features and specs

No features have been listed yet.

Agda videos

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Twitch: Proving things using Agda!

Isabelle videos

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NEW ISABELLE Skin! Reactive Test | Gameplay + Combos | Before You Buy (Fortnite Battle Royale)

Category Popularity

0-100% (relative to Agda and Isabelle)

Isabelle

Programming Language

74 74%

Programming Language

26% 26

OOP

70 70%

OOP

30% 30

Generic Programming Language

69 69%

Generic Programming Language

31% 31

Dynamic Programming Language

100 100%

Dynamic Programming Language

0% 0

User comments

Share your experience with using Agda and Isabelle. For example, how are they different and which one is better?

Social recommendations and mentions

Based on our record, Agda seems to be more popular. It has been mentiond 7 times since March 2021. We are tracking product recommendations and mentions on various public social media platforms and blogs. They can help you identify which product is more popular and what people think of it.

Agda mentions (7)

If given a list of properties/definitions and relationship between them, could a machine come up with (mostly senseless, but) true implications?
Still, there are many useful tools based on these ideas, used by programmers and mathematicians alike. What you describe sounds rather like Datalog (e.g. Soufflé Datalog), where you supply some rules and an initial fact, and the system repeatedly expands out the set of facts until nothing new can be derived. (This has to be finite, if you want to get anywhere.) In Prolog (e.g. SWI Prolog) you also supply a set of... Source: almost 2 years ago
What can Category Theory do?
Haskell and Agda are probably the most obvious examples. Ocaml too, but it is much older, so its type system is not as categorical. There is also Idris, which is not as well-known but is very cool. Source: almost 2 years ago
Best Programming Language for Computational Proof
Coq, Agda, Lean, Isabelle, and probably some others which are not coming to my mind at the moment, but those would be considered the major ones. Source: over 2 years ago
If C++ would be safe as Rust, Would you consider your current/next project be in C++?
Safer doesn't mean better. You could proof program correctness, and get proven program with tools like Coq (https://news.ycombinator.com/) and Agda (https://wiki.portal.chalmers.se/agda/pmwiki.php). However, it leads to much higher cost of creating software than both C++ and Rust. It's a trade-off. A great thing about Rust is that the safety costs very little compared to Coq and Agda. Source: over 2 years ago
Do you feel static types have "won the war", so to speak?
At the most extreme level, you disappear into a meditative solitary retreat for a couple of years to seek enlightenment, and when you emerge you're no longer a programmer who writes programs, you're a theorist who proves theorems in Agda, and you have transcended above things that are tainted by the inherent evil of the material plane like "side effects" and "business needs" and "delivery timelines" and "could you... Source: almost 3 years ago