Comparison
See also: Proof assistant#Comparison| Language | Actively developed | Paradigm | Tactics | Proof terms | Termination checking | Types can depend on | Universes | Proof irrelevance | Program extraction | Extraction erases irrelevant terms |
|---|---|---|---|---|---|---|---|---|---|---|
| Agda | Yes | Purely functional | Few/limited | Yes | Yes (optional) | Any term | Yes (optional) | Proof-irrelevant arguments (experimental) | Haskell, Javascript | Yes |
| ATS | Yes | Functional / imperative | No | Yes | Yes | ? | ? | ? | Yes | ? |
| Cayenne | No | Purely functional | No | Yes | No | Any term | No | No | ? | ? |
| Coq | Yes | Purely functional | Yes | Yes | Yes | Any term | Yes | No | Haskell, Scheme and OCaml | Yes |
| Dependent ML | No | ? | ? | Yes | ? | Natural numbers | ? | ? | ? | ? |
| Epigram 2 | Yes | Purely functional | No | Coming soon | By construction | Any term | Coming soon | Coming soon | Coming soon | Coming soon |
| Guru | Yes | Purely functional | hypjoin | Yes | Yes | Any term | No | Yes | Carraway | Yes |
| Idris | Yes | Purely functional | Yes | Yes | Coming soon | Any term | No | No | Yes | Yes, aggressively |
| Matita | Yes | Purely functional | Yes | Yes | Yes | Any term | Yes | ? | OCaml | ? |
| NuPRL | No | Purely functional | Yes | Yes | Yes | Any term | Yes | ? | Yes | ? |
| PVS | Yes | ? | Yes | ? | ? | ? | ? | ? | ? | ? |
| Typed Racket | Yes | No | ? | ? | ? | ? | ? | ? | ? | ? |
| Sage | ? | Hybrid typechecking | ? | ? | ? | ? | ? | ? | ? | ? |
| Twelf | Yes | Logic programming | ? | Yes | Yes (optional) | Any (LF) term | No | No | ? | ? |
| Xanadu | No | Imperative | ? | ? | ? | ? | ? | ? | ? | ? |
Read more about this topic: Dependent Type
Famous quotes containing the word comparison:
“Envy and jealousy are the private parts of the human soul. Perhaps the comparison can be extended.”
—Friedrich Nietzsche (1844–1900)
“I have travelled a good deal in Concord; and everywhere, in shops, and offices, and fields, the inhabitants have appeared to me to be doing penance in a thousand remarkable ways.... The twelve labors of Hercules were trifling in comparison with those which my neighbors have undertaken; for they were only twelve, and had an end; but I could never see that these men slew or captured any monster or finished any labor.”
—Henry David Thoreau (1817–1862)
“In comparison to the French Revolution, the American Revolution has come to seem a parochial and rather dull event. This, despite the fact that the American Revolution was successful—realizing the purposes of the revolutionaries and establishing a durable political regime—while the French Revolution was a resounding failure, devouring its own children and leading to an imperial despotism, followed by an eventual restoration of the monarchy.”
—Irving Kristol (b. 1920)