The logic of programming
The Z notation: a reference manual
The Z notation: a reference manual
Using Z: specification, refinement, and proof
Using Z: specification, refinement, and proof
Refinement in Z and object-Z: foundations and advanced applications
Refinement in Z and object-Z: foundations and advanced applications
Z: An Introduction to Formal Methods
Z: An Introduction to Formal Methods
An Introduction to Formal Specification and Z
An Introduction to Formal Specification and Z
VDM '90 VDM and Z - Formal Methods in Software Development: Third International Symposium of VDM Europe Kiel, FRG, April 17-21, 1990 Proceedings
VDM '90 Proceedings of the Third International Symposium of VDM Europe on VDM and Z - Formal Methods in Software Development
Results on Formal Stepwise Design in Z
APSEC '02 Proceedings of the Ninth Asia-Pacific Software Engineering Conference
An Analysis of Backward Simulation Data-Refinement for Partial Relation Semantics
APSEC '03 Proceedings of the Tenth Asia-Pacific Software Engineering Conference Software Engineering Conference
An Analysis of Operation-Refinement in an Abortive Paradigm
Electronic Notes in Theoretical Computer Science (ENTCS)
Electronic Notes in Theoretical Computer Science (ENTCS)
Proceedings of the 3rd international conference on Formal specification and development in Z and B
ZB'03 Proceedings of the 3rd international conference on Formal specification and development in Z and B
Operation refinement and monotonicity in the schema calculus
ZB'03 Proceedings of the 3rd international conference on Formal specification and development in Z and B
An analysis of forward simulation data refinement
ZB'03 Proceedings of the 3rd international conference on Formal specification and development in Z and B
Recasting hoare and he's unifying theory of programs in the context of general correctness
IW-FM'01 Proceedings of the 5th Irish conference on Formal Methods
Lifting general correctness into partial correctness is ok
IFM'07 Proceedings of the 6th international conference on Integrated formal methods
Reasoning about loops in total and general correctness
UTP'08 Proceedings of the 2nd international conference on Unifying theories of programming
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This paper presents a mathematical investigation of the relationships among a number of approaches for specification and refinement in two well-known paradigms based on the idea of Unifying Theories of Programming: Hoare and He’s designs and Dunne’s prescriptions. We present the technical analysis in a proof-theoretic relational framework based on two-predicate schema specifications. This enables us to demonstrate the relationships among (what prima facie seem to be) different models of refinement associated with each of these paradigms.