First-order logic and automated theorem proving (2nd ed.)
First-order logic and automated theorem proving (2nd ed.)
Using Z: specification, refinement, and proof
Using Z: specification, refinement, and proof
The B-book: assigning programs to meanings
The B-book: assigning programs to meanings
ICSE '91 Proceedings of the 13th international conference on Software engineering
Managing inconsistent specifications: reasoning, analysis, and action
ACM Transactions on Software Engineering and Methodology (TOSEM)
Constructive consistency checking for partial specification
Science of Computer Programming
Handbook of defeasible reasoning and uncertainty management systems
Guest Editorial: Introduction to the Special Section
IEEE Transactions on Software Engineering
Inconsistency Handling in Multiperspective Specifications
IEEE Transactions on Software Engineering
Quasi-classical Logic: Non-trivializable classical reasoning from incosistent information
ECSQARU '95 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
A Semantic Tableau Version of First-Order Quasi-Classical Logic
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Inconsistency and Undefinedness in Z - A Practical Guide
ZUM '98 Proceedings of the 11th International Conference of Z Users on The Z Formal Specification Notation
Guards, Preconditions, and Refinement in Z
ZB '00 Proceedings of the First International Conference of B and Z Users on Formal Specification and Development in Z and B
On Formal Specification of a Proof Tool
VDM '91 Proceedings of the 4th International Symposium of VDM Europe on Formal Software Development-Volume I: Conference Contributions - Volume I
Analyzing Inconsistent Specifications
RE '97 Proceedings of the 3rd IEEE International Symposium on Requirements Engineering
Measuring inconsistency in knowledgebases
Journal of Intelligent Information Systems
A Relational Framework For The Integration Of Specifications
Journal of Integrated Design & Process Science
Reasoning about inconsistent concurrent systems: a non-classical temporal logic
SOFSEM'06 Proceedings of the 32nd conference on Current Trends in Theory and Practice of Computer Science
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The aim of this paper is to discuss what formal support can be given to the process of living with inconsistencies in Z, rather than eradicating them. Logicians have developed a range of logics to continue to reason in the presence of inconsistencies. We present one representative of such paraconsistent logics, namely Hunter's quasi-classical logic, and apply it to the analysis of inconsistent Z schemas. In the presence of inconsistency quasi-classical logic allows us to derive less, but more "useful", information. Consequently, inconsistent Z specifications can be analysed in more depth than at present. Part of the analysis of a Z operation is the calculation of the precondition. However, in the presence of an inconsistency, information about the intended application of the operation may be lost. It is our aim to regain this information. We introduce a new classification of precondition areas, based on the notions of definedness, overdefinedness and undefinedness. We then discuss two options to determine these areas both of which are based on restrictions of classical reasoning.