Section: New Software and Platforms

Lem

lightweight executable mathematics

Functional Description

Lem is a lightweight tool for writing, managing, and publishing large scale semantic definitions. It is also intended as an intermediate language for generating definitions from domain-specific tools, and for porting definitions between interactive theorem proving systems (such as Coq, HOL4, and Isabelle). As such it is a complementary tool to Ott. Lem resembles a pure subset of Objective Caml, supporting typical functional programming constructs, including top-level parametric polymorphism, datatypes, records, higher-order functions, and pattern matching. It also supports common logical mechanisms including list and set comprehensions, universal and existential quantifiers, and inductively defined relations. From this, Lem generates OCaml, HOL4, Coq, and Isabelle code.

• Participants: Scott Owens, Peter Sewell and Francesco Zappa Nardelli

• Contact: Francesco Zappa Nardelli

• URL: http://www.cl.cam.ac.uk/~pes20/lem/