dARL supplies a sound deductive refinement calculus with trace semantics for verifying and simplifying differential-algebraic programs, shown complete for index reduction certification.
Also, byz,z ′ /∈A,b,c, applying coincidence of terms yields ψ(t)Jz′K= (ψ(t)JAK) −1ψ(t)JBKψ(t)JzK+ (ψ(t)JAK) −1ψ(t)JcK
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A Deductive Refinement Calculus for Differential-Algebraic Programs
dARL supplies a sound deductive refinement calculus with trace semantics for verifying and simplifying differential-algebraic programs, shown complete for index reduction certification.