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» The simply typed rewriting calculus
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ESOP
2009
Springer
14 years 2 months ago
Exploring the Design Space of Higher-Order Casts
This paper explores the surprisingly rich design space for the simply typed lambda calculus with casts and a dynamic type. Such a calculus is the target intermediate language of th...
Jeremy G. Siek, Ronald Garcia, Walid Taha
ENTCS
2002
129views more  ENTCS 2002»
13 years 7 months ago
Eliminating Proofs from Programs
This paper presents a step in the development of an operational approach to program extraction in type theory. In order to get a program from a lambda term, the logical parts need...
Femke van Raamsdonk, Paula Severi
CSL
2006
Springer
13 years 11 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
CONCUR
2006
Springer
13 years 11 months ago
Concurrent Rewriting for Graphs with Equivalences
Several applications of graph rewriting systems (notably, some encodings of calculi with name passing) require rules which, besides deleting and generating graph items, are able to...
Paolo Baldan, Fabio Gadducci, Ugo Montanari
CIE
2008
Springer
13 years 9 months ago
Principal Typings for Explicit Substitutions Calculi
Having principal typings (for short PT) is an important property of type systems. This property guarantees the possibility of type deduction which means it is possible to develop a...
Daniel Lima Ventura, Mauricio Ayala-Rincón,...