cvc5 vs Rocq

cvc5 is a free, open-source solver for satisfiability modulo theories problems. It determines whether first-order formulas are satisfiable or valid across combinations of background theories, including arrays, bit-vectors, floating-point numbers, arithmetic, and strings. It also has a Syntax-Guided Synthesis engine for synthesizing functions against those theories.

The solver can run as a standalone command-line tool or be used as a library, with C++, C, Java, and Python APIs. Its binary accepts SMT-LIB v2 and SyGuS-IF input, and it can produce proofs and unsatisfiable cores to explain unsatisfiability results. The project links to an online interface for running SMT-LIB scripts and provides source releases and binaries for Linux, macOS, and Windows. cvc5 is led jointly by Stanford University and the University of Iowa. Research and commercial use are described as essentially unrestricted. The default license is modified BSD; using optional GPLv3 dependencies makes the combined work subject to GPLv3.

Rocq is a free interactive theorem prover and proof assistant for building mathematical proofs, formal specifications and programs, including proofs that programs meet specifications. Its Gallina language supports specification and mathematical work and is based on the Polymorphic, Cumulative Calculus of Inductive Constructions. A relatively small certification kernel machine-checks proofs. Rocq also offers interactive proof methods, decision and semi-decision algorithms, and a tactic language for defining methods. Certified programs can be extracted to OCaml, Haskell or Scheme, and the system can connect with external computer algebra systems or theorem provers. The Rocq Platform bundles the core prover with libraries and plugins for development and teaching. Its scripts install Rocq and packages on macOS, Windows and many Linux distributions; precompiled installers are available for macOS and Windows, but not Linux. Editor options include the VsRocq Visual Studio Code extension, RocqIDE, Proof General and Coqtail. Rocq is written in OCaml and distributed under the GNU Lesser General Public Licence Version 2.1.