Ott: Effective tool support for the working semanticist

PETER SEWELL, FRANCESCO ZAPPA NARDELLI, SCOTT OWENS, GILLES PESKINE, THOMAS RIDGE, SUSMIT SARKAR, ROK STRNIŠA
2010 Journal of functional programming  
Semantic definitions of full-scale programming languages are rarely given, despite the many potential benefits. Partly this is because the available metalanguages for expressing semanticsusually either L A T E X for informal mathematics or the formal mathematics of a proof assistantmake it much harder than necessary to work with large definitions. We present a metalanguage specifically designed for this problem, and a tool, Ott, that sanity-checks such definitions and compiles them into proof
more » ... sistant code for Coq, HOL, and Isabelle/HOL, together with L A T E X code for production-quality typesetting, and OCaml boilerplate. The main innovations are (1) metalanguage design to make definitions concise, and easy to read and edit; (2) an expressive but intuitive metalanguage for specifying binding structures; and (3) compilation to proof assistant code. This has been tested in substantial case studies, including modular specifications of calculi from the TAPL text, a Lightweight Java with Java JSR 277/294 module system proposals, and a large fragment of OCaml (OCaml light , 310 rules), with mechanised proofs of various soundness results. Our aim with this work is to enable a phase change: making it feasible to work routinely, without heroic effort, with rigorous semantic definitions of realistic languages. A context grammar is declared as a normal grammar but with a single occurrence of the terminal __ in each production, e.g. as in the grammar for E below:
doi:10.1017/s0956796809990293 fatcat:wtvqxpi3arb6xiwsotyktqiicu