Weakest Precondition Synthesis for Compiler Optimizations

Author(s):  
Nuno P. Lopes ◽  
José Monteiro
1994 ◽  
Vol 21 (1) ◽  
pp. 27-45 ◽  
Author(s):  
S. Hiranandani ◽  
K. Kennedy ◽  
C.W. Tseng

Author(s):  
Heikki Kultala ◽  
Timo Viitanen ◽  
Pekka Jaaskelainen ◽  
Janne Helkala ◽  
Jarmo Takala

2008 ◽  
Vol 36 (6) ◽  
pp. 571-591 ◽  
Author(s):  
Aart J. C. Bik ◽  
David L. Kreitzer ◽  
Xinmin Tian

2006 ◽  
Vol 16 (3) ◽  
pp. 429-451 ◽  
Author(s):  
ELLIE D'HONDT ◽  
PRAKASH PANANGADEN

We develop a notion of predicate transformer and, in particular, the weakest precondition, appropriate for quantum computation. We show that there is a Stone-type duality between the usual state-transformer semantics and the weakest precondition semantics. Rather than trying to reduce quantum computation to probabilistic programming, we develop a notion that is directly taken from concepts used in quantum computation. The proof that weakest preconditions exist for completely positive maps follows immediately from the Kraus representation theorem. As an example, we give the semantics of Selinger's language in terms of our weakest preconditions. We also cover some specific situations and exhibit an interesting link with stabilisers.


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