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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    It is not the case that The claim conflates bisimulation failure for arbitrary relational models with a general impossibility, ignoring that restricted model classes do admit bisimulation-compatible type morphisms.

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    Reasons For

    1 perspective
    Reason for
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    • 1.The distinction between arbitrary and restricted models may be stipulative rather than reflecting genuine theoretical boundaries.
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    • 2.Even restricted model classes face non-trivial obstacles: type morphisms need not preserve reachability or transitive closure properties.
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    • 3.Claiming restricted classes 'admit' bisimulation-compatible morphisms requires demonstrating explicit constructions, not existence proofs alone.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Bisimulation equivalence typically fails for unrestricted first-order relational models due to expressive limitations of modal logic.
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    • 2.Finite models, trees, and other restricted classes provably support type morphisms preserving bisimulation structure.
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    • 3.Overgeneralizing from pathological cases obscures that domain restrictions yield mathematically tractable type theory.
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