Presents directed first-order logic with asymmetric equality as relative left adjoint, polarity system for variances, and sound-complete semantics via directed doctrines; classical fragment complete in preorders.
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Doctrinal Semantics of Directed First-Order Logic
Presents directed first-order logic with asymmetric equality as relative left adjoint, polarity system for variances, and sound-complete semantics via directed doctrines; classical fragment complete in preorders.