AutoCert uses Automated Theorem Provers (ATPs) based on First-Order Logic (FOL) to formally verify safety and functional correctness properties of the code.
MICHAEL FRYE ON LIGHTROOM 6.2 VERIFICATION
Testing First-Order Logic Axioms in AutoCertĪutoCert is a formal verification tool for machine generated code in safety critical domains, such as aerospace control code generated from MathWorks Real-Time Workshop. Angle measure is derived from distance, and all properties needed to establish a consistent system are derived. The metric axioms adopted are the ruler axiom, triangle inequality and the bisector axiom. Moreover,more » different forms of information measures, such as Shannon entropy, Daroczy entropy, Tsallis entropy and other entropies, can be unified under the same axiomatics.« lessĪ Proposal for a Variation on the Axioms of Classical GeometryĮRIC Educational Resources Information CenterĪ set of axioms for classical absolute geometry is proposed that is accessible to students new to axioms. Tsallis statistics is a special case of satisfying our axioms. The subadditivity and strong subadditivity of entropy are obtained in the new axiomatics. Their conditions are weaker than those of Shannon–Khinchin axioms and Tsallis axioms, while these conditions are stronger than those of the axiomatics based on the first three Shannon–Khinchin axioms. We also develop weak upper entropy axioms and weak lower entropy axioms. We propose a new axiomatic definition, namely, upper entropy axioms, inspired by axioms of metric spaces, and also formulate lower entropy axioms. The paper suggests the concepts of an upper entropy and a lower entropy. Upper entropy axioms and lower entropy axioms
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