Details

Autor(en) / Beteiligte

• Honsell, Furio
• Liquori, Luigi
• Maksimović, Petar
• Scagnetto, Ivan

Titel

Gluing together Proof Environments: Canonical extensions of LF Type Theories featuring Locks

Ist Teil von

• Electronic proceedings in theoretical computer science, 2015-07, Vol.185 (Proc. LFMTP 2015), p.3-17

Ort / Verlag

Open Publishing Association

Erscheinungsjahr

2015

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• We present two extensions of the LF Constructive Type Theory featuring monadic locks. A lock is a monadic type construct that captures the effect of an external call to an oracle. Such calls are the basic tool for gluing together diverse Type Theories and proof development environments. The oracle can be invoked either to check that a constraint holds or to provide a suitable witness. The systems are presented in the canonical style developed by the CMU School. The first system, CLLFP, is the canonical version of the system LLFP, presented earlier by the authors. The second system, CLLFP?, features the possibility of invoking the oracle to obtain a witness satisfying a given constraint. We discuss encodings of Fitch-Prawitz Set theory, call-by-value lambda-calculi, and systems of Light Linear Logic. Finally, we show how to use Fitch-Prawitz Set Theory to define a type system that types precisely the strongly normalizing terms.