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Duality in specification languages: a lattice-theoretical approach

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-10007-5_47openalex-snapshot
On the semantics of fair parallelism
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General Lattice Theory
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A simple fixpoint argument without the restriction to continuity
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do considered od: A contribution to the programming calculus
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General correctness: A unification of partial and total correctness
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A calculus of refinements for program derivations
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Data refinement by miracles
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A theoretical basis for stepwise refinement and the programming calculus
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A theory for nondeterminism, parallelism, communication, and concurrency
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Data refinement of predicate transformers
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Book Review: Lattice theory
inferredcites →https://doi.org/10.1109/hicss.1989.47997openalex-snapshot
Changing data representation in the refinement calculus
inferredcites →https://doi.org/10.1145/27651.27653openalex-snapshot
Laws of programming
inferredcites →https://doi.org/10.1145/44501.44503openalex-snapshot
The specification statement
inferredcites →https://doi.org/10.1145/69558.69559openalex-snapshot
A generalization of Dijkstra's calculus
inferredcites →https://doi.org/10.2140/pjm.1955.5.285openalex-snapshot
A lattice-theoretical fixpoint theorem and its applications

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Contracts, Games and Refinement
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On Two Dually Nondeterministic Refinement Algebras
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Compilation and Synthesis for Real-Time Embedded Controllers
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Refinement calculus, part I: Sequential nondeterministic programs
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Enforcing behavior with contracts
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Constructive Refinement of First Order Specifications
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A Tour Through the Programming Choices: Semantics and Applications
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UTP and Sustainability
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Refinement Calculus, Lattices and Higher Order Logic
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The lattice of data refinement
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DUALITY: A simple formalism for the analysis of UNITY
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Algorithm refinement with read and write frames
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Specifying computations using hyper transition systems
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Using lattice theory in higher order logic
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Angelic nondeterminism in the unifying theories of programming
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Predicate Transformers for Recursive Procedures with Local Variables
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Reasoning about probabilistic sequential programs in a probabilistic logic
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Dual unbounded nondeterminacy, recursion, and fixpoints
inferred← citeshttps://doi.org/10.1007/s002360000046openalex-snapshot
Demonic, angelic and unbounded probabilistic choices in sequential programs
inferred← citeshttps://doi.org/10.1007/s002360050115openalex-snapshot
Data refinement of mixed specifications
inferred← citeshttps://doi.org/10.1016/0020-0190(91)90141-4openalex-snapshot
Program inversion in the refinement calculus
inferred← citeshttps://doi.org/10.1016/0020-0190(94)00206-eopenalex-snapshot
Games and winning strategies
inferred← citeshttps://doi.org/10.1016/0167-6423(93)90015-hopenalex-snapshot
Statement inversion and strongest postcondition
inferred← citeshttps://doi.org/10.1016/0304-3975(92)00016-kopenalex-snapshot
Nondeterminacy and recursion via stacks and games
inferred← citeshttps://doi.org/10.1016/0304-3975(92)90309-4openalex-snapshot
Combining angels, demons and miracles in program specifications
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Mechanising some Advanced Refinement Concepts
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Angelic Nondeterminism and Unifying Theories of Programming
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Terms with unbounded demonic and angelic nondeterminacy
inferred← citeshttps://doi.org/10.1016/j.scico.2013.07.002openalex-snapshot
Refinement algebra with dual operator
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Algebras for correctness of sequential computations
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Soundness of a purely syntactical formalization of weakest preconditions
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Bibliography
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Where are we now, and where do we go from here?
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Implementing angelic nondeterminism
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Dually nondeterministic functions
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Term transformers
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Probabilistic predicate transformers
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Algebraic approaches to nondeterminism—an overview
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Deductive verification with ghost monitors
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Interpreting Nondeterminism in the Refinement Calculus
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Synthesis of Strategies Using the Hoare Logic of Angelic and Demonic Nondeterminism
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Fuzzy Semantics of Contract Language
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Abstract Transducers
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