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» Inductive Beluga: Programming Proofs
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CIE
2010
Springer
13 years 3 months ago
Proofs, Programs, Processes
Abstract. We study a realisability interpretation for inductive and coinductive definitions and discuss its application to program extraction from proofs. A speciality of this inte...
Ulrich Berger, Monika Seisenberger
FUIN
2010
103views more  FUIN 2010»
13 years 2 months ago
Automation for Dependently Typed Functional Programming
Abstract. Writing dependently typed functional programs that capture non-trivial program properties, such as those involving membership, ordering and non-linear arithmetic, is diff...
Sean Wilson, Jacques D. Fleuriot, Alan Smaill
ENTCS
2006
169views more  ENTCS 2006»
13 years 4 months ago
Constructing Induction Rules for Deductive Synthesis Proofs
We describe novel computational techniques for constructing induction rules for deductive synthesis proofs. Deductive synthesis holds out the promise of automated construction of ...
Alan Bundy, Lucas Dixon, Jeremy Gow, Jacques D. Fl...
POPL
2012
ACM
12 years 10 days ago
Static and user-extensible proof checking
Despite recent successes, large-scale proof development within proof assistants remains an arcane art that is extremely timeconsuming. We argue that this can be attributed to two ...
Antonis Stampoulis, Zhong Shao
MPC
1995
Springer
125views Mathematics» more  MPC 1995»
13 years 8 months ago
Synthesizing Proofs from Programs in the Calculus of Inductive Constructions
We want to prove \automatically" that a program is correct with respect to a set of given properties that is a speci cation. Proofs of speci cations contain logical parts and ...
Catherine Parent