#Coq programming language manual#
#Coq programming language full#

Many interesting programs can be verified with zero manual proof effort, in stark contrast to most Coq developments. Once referred to as CoC, short for Calculus of Constructions, the programming language became Coq when work on version 5 began in. Mostly automated: Tactics automate verification condition generation (in a form inspired by separation logic) and most of the process of discharging those conditions. After three decades, Coq, a theorem-proving programming language developed by researchers in France, is being fitted for a new name because it has become impossible to ignore that it sounds like bawdy English slang.For example, adding high-level syntax for your own calling convention or exception handling construct is relatively straightforward and does not require tweaking the core library code. Structured: Bedrock is an extensible programming language: any client program may add new control flow constructs by providing their proof rules.

#Coq programming language full#

Bedrock supports that model, backed by the full expressive power of Coq's usual programming language. Computational: Many useful functions are specified most effectively by comparing with 'reference implementations' in a pure functional language.Higher-order: Bedrock facilitates quite pleasant reasoning about code pointers as data.That is, you don't need to trust that the verification framework is bug-free rather, you need to trust the usual Coq proof-checker and the formalization of the machine language semantics. Pierce Arthur Azevedo de Amorim Chris Casinghino Marco Gaboardi Michael Greenberg Ctlin Hricu Vilhelm Sjöberg Andrew Tolmach Brent Yorgey with. Via the Curry-Howard correspondence, programs, properties and proofs are formalized in the same language.

Having defined a function, we should check that it works on some examples. In this respect, it is similar to other related languages such as Agda, Idris, F, Lean, and others. programming languages, Coq can often work out these types even if they are not given explicitly i.e., it performs some type inference but well always include them to make reading easier.

Foundational: The output of a Bedrock verification is a theorem whose statement depends only on the predicates you choose to use in the key specifications and on the operational semantics of a simple cross-platform machine language. This means that the types of the language may depend on the values of variables.

Low-level: You can verify programs that, for performance reasons or otherwise, can't tolerate any abstraction beyond that associated with assembly language.

Bedrock, a Coq library for verified low-level programming Bedrock, a Coq library for verified low-level programmingīedrock is a library that turns Coq into a tool much like classical verification systems (e.g., ESC, Boogie), but niftier.