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

Du\v{s}an Repov\v{s}; Oleh Nykyforchyn

arxiv: 1209.5224 · v1 · pith:77IFLEROnew · submitted 2012-09-24 · 🧮 math.CT · math.GN

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

Oleh Nykyforchyn , Du\v{s}an Repov\v{s} This is my paper

classification 🧮 math.CT math.GN

keywords fuzzyaffinecontinuousidempotentlinearmonotonicpostconditionpredicate

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

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

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