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Enhancing Formal Verification with Z-Eves: A Comprehensive Toolkit for Theorem Proving

Z-Eves is a powerful theorem prover based on Z notation, designed to support formal verification in mathematics and computer science. Utilizing a model-based language grounded in mathematical logic and first-order predicate calculus, Z-Eves incorporates schemas, set theory, and various refinement calculus elements to address non-functional properties and concurrent behavior. Its extensible framework includes a rich mathematical toolkit with axioms, theorems, and logical inference rules, empowering users to animate proofs and streamline the design process with adaptive tool support.

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Enhancing Formal Verification with Z-Eves: A Comprehensive Toolkit for Theorem Proving

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  1. Z and Z-Eves Adalberto Cajueiro de Farias

  2. Z Notation • Model-Based Language • Mathematical Logic • First-Order Predicate Calculus • Schemas • Set theory • Generators, operators, power sets. • Associated Refinement Calculus • Not intended to model • Non-functional properties • Timed or concurrent behaviour • Contemplates only one aspect of design

  3. Tool Support • Theorem Proving • Z-Eves • Proof Power • Animation • ZANS • Possum • ZETA • ...

  4. Z-Eves • Theorem prover based on Z • Underlying theory: • Set theory • Z constructions • Schemas, operators, ... • Mathematical toolkit: • Axioms (extensible) • Theorems (extensible) • Logical rules • Inference rules

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