Information Processing Letters
Acta Informatica
A generalization of Dijkstra's calculus
ACM Transactions on Programming Languages and Systems (TOPLAS)
A completeness theorem for Kleene algebras and the algebra of regular events
Papers presented at the IEEE symposium on Logic in computer science
ACM Transactions on Programming Languages and Systems (TOPLAS)
Computation calculus bridging a formalization gap
Science of Computer Programming - Special issue on mathematics of program construction
Refinement Calculus: A Systematic Introduction
Refinement Calculus: A Systematic Introduction
Dynamic Logic
MPC '00 Proceedings of the 5th International Conference on Mathematics of Program Construction
From Kleene Algebra to Refinement Algebra
MPC '02 Proceedings of the 6th International Conference on Mathematics of Program Construction
Science of Computer Programming - Special issue on mathematics of program construction (MPC 2002)
Algebras of modal operators and partial correctness
Theoretical Computer Science - Algebraic methodology and software technology
ACM Transactions on Computational Logic (TOCL)
RelMiCS'05 Proceedings of the 8th international conference on Relational Methods in Computer Science, Proceedings of the 3rd international conference on Applications of Kleene Algebra
UTP'06 Proceedings of the First international conference on Unifying Theories of Programming
RelMiCS'06/AKA'06 Proceedings of the 9th international conference on Relational Methods in Computer Science, and 4th international conference on Applications of Kleene Algebra
Refinement algebra with operators for enabledness and termination
MPC'06 Proceedings of the 8th international conference on Mathematics of Program Construction
Science of Computer Programming
Enabledness and termination in refinement algebra
Science of Computer Programming
Latest news about demonic algebra with domain
RelMiCS'08/AKA'08 Proceedings of the 10th international conference on Relational and kleene algebra methods in computer science, and 5th international conference on Applications of kleene algebra
On the structure of demonic refinement algebras with enabledness and termination
RelMiCS'08/AKA'08 Proceedings of the 10th international conference on Relational and kleene algebra methods in computer science, and 5th international conference on Applications of kleene algebra
Partial, total and general correctness
MPC'10 Proceedings of the 10th international conference on Mathematics of program construction
AMAST'06 Proceedings of the 11th international conference on Algebraic Methodology and Software Technology
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Weak omega algebra and demonic refinement algebra are two ways of describing systems with finite and infinite iteration. We show that these independently introduced kinds of algebras can actually be defined in terms of each other. By defining modal operators on the underlying weak semiring, that result directly gives a demonic refinement algebra of commands. This yields models in which extensionality does not hold. Since in predicate-transformer models extensionality always holds, this means that the axioms of demonic refinement algebra do not characterise predicate-transformer models uniquely. The omega and the demonic refinement algebra of commands both utilise the convergence operator that is analogous to the halting predicate of modal μ-calculus. We show that the convergence operator can be defined explicitly in terms of infinite iteration and domain if and only if domain coinduction for infinite iteration holds.