| Robert Harper, Furio Honsell, and Gordon Plotkin. A framework for deøning logics. Journal of the ACM, 40(1):143184, 1993. |
....Slide 209 Logical Frameworks Theories Implementations Schroeder Heister Martin Lo f type theory ALF Edinburgh Logical Framework Elf, LEGO, Coq Higher order Harrop formul Prolog, Isabelle Logical frameworks are theories of proofs in general logics. Best known is the Edinburgh Logical Framework [12], which is based on unpublished work by Per Martin L#f. The proof assistants LEGO [18] and Coq [7] implement related type theories, but to formalize mathematics directly, rather than to formalize logics. Isabelle s representation of rules was originally naive, partly inspired by SchroederHeister ....
Robert Harper, Furio Honsell, and Gordon Plotkin. A framework for deøning logics. Journal of the ACM, 40(1):143184, 1993.
.... a system for Martin L#f s type theory was implemented in G#teborg 1982 [35] Another, more advanced, system for type theory was developed by Constable et al. at Cornell University [6] During the last years, several logical frameworks based on type theory have been implemented: the Edinburgh LF [20], Coq from INRIA [13] LEGO from Edinburgh [26] and ALF from G#teborg [1, 27] Coq and LEGO are both based on Coquand and Huet s calculus of constructions, while ALF is an implementation of the theory we describe in this chapter. A brief overview of the ALF system is given in section 6. 2 ....
Robert Harper, Furio Honsell, and Gordon Plotkin. A Framework for Deøning Logics. JACM, 40(1):143184, 1993.
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