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Questions about Hoare's logical framework for program correctness proofs and variants.

2 votes
2 answers
77 views

How to change the algorithm implication by changing the invariant?

I have this specification in GCL: $[Ctx C: n\geqslant 0\ \wedge\ b:[0..n-1]\ \text{of int}$ $\{Q:\text{True}\}$ $sum,i:=0,0;$ $\{\text{Invariant}\ P: 0\leqslant i \leqslant n\ \wedge sum=\sum_{j=0 …
InfZero's user avatar
  • 183
5 votes
1 answer
2k views

What is a predicate transformer?

I'm reading Programming - The derivation of algorithms, and I want to understand the purpose of a predicate transformer. This is the excerpt (p. 14-15): A more precise way in which constructs may be …
InfZero's user avatar
  • 183
1 vote
0 answers
23 views

How to define the dimension function for searching in a 3D-array?

Problem: Propose a plan (pre- and post-condition, invariant, dimension function) for searching a value in a 3D-array. Solution: This is the first solution I've foreseen: $[\text{Ctx}\ C: m\geqslan …
InfZero's user avatar
  • 183