English

$L$-fuzzy strongest postcondition predicate transformers as $L$-idempotent linear or affine operators between semimodules of monotonic predicates

Category Theory 2012-09-25 v1 General Topology

Abstract

For a completely distributive quantale LL, LL-fuzzy strongest postcondition predicate transformers are introduced, and it is shown that, under reasonable assumptions, they are linear or affine continuous mappings between continuous LL-idempotent semimodules of LL-fuzzy monotonic predicates.

Keywords

Cite

@article{arxiv.1209.5224,
  title  = {$L$-fuzzy strongest postcondition predicate transformers as $L$-idempotent linear or affine operators between semimodules of monotonic predicates},
  author = {Oleh Nykyforchyn and Dušan Repovš},
  journal= {arXiv preprint arXiv:1209.5224},
  year   = {2012}
}