Communicating sequential processes
Communicating sequential processes
HALO—a fuzzy programming language
Fuzzy Sets and Systems
Probabilistic non-determinism
An elementary fuzzy programming language
Fuzzy Sets and Systems
Probabilistic predicate transformers
ACM Transactions on Programming Languages and Systems (TOPLAS)
A family of fuzzy programming languages
Fuzzy Sets and Systems
Probabilistic models for the guarded command language
Science of Computer Programming - Special issue: on formal specifications: foundations, methods, tools and applications: selected papers from the FMTA '95 conference (29–31 May 1995, Konstancin n. Warsaw, Poland)
Possibility measures, integration and fuzzy possibility measures
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Fuzzy sets as a basis for a theory of possibility
Fuzzy Sets and Systems
Some Properties of Predicate Transformers
Journal of the ACM (JACM)
On Sugeno integral as an aggregation function
Fuzzy Sets and Systems
Possibility measures and possibility integrals defined on a comple lattice
Fuzzy Sets and Systems
Partial correctness for probabilistic demonic programs
Theoretical Computer Science
Denotational Semantics: The Scott-Strachey Approach to Programming Language Theory
Denotational Semantics: The Scott-Strachey Approach to Programming Language Theory
A Discipline of Programming
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Domain semantics of possibility computations
Information Sciences: an International Journal
Multidimensional generalized fuzzy integral
Fuzzy Sets and Systems
RETRACTED: Semantic Domains for Combining Probability and Non-Determinism
Electronic Notes in Theoretical Computer Science (ENTCS)
Fuzzy Arden Syntax: A fuzzy programming language for medicine
Artificial Intelligence in Medicine
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Possibility computation, introduced by Chen and Wu in 2008, is a kind of computational model to deal with non-determinism, based on the axiomatic rule of possibility measures in the framework of domain theory. In this paper, we consider the case of non-determinism of possibility computation, i.e., non-deterministic and possibility computations co-exist. Both its denotational semantics, i.e., state transformer semantics, and logical semantics, i.e., predicate transformer semantics are established and their duality is verified in the framework of fuzziness. The denotational semantics is defined to be a Scott-continuous function from the input spaces to Hoare possibilistic powerdomain of output spaces. The logical semantics is given by strongly healthy fuzzy predicate transformers from fuzzy predicates on the domain of output spaces to the ones on the domain of input spaces. We prove a duality property between these two semantics by means of Sugeno integral with respect to possibility valuations. Finally, we establish the semantics of a fuzzy programming language in terms of our methods.