[TYPES] What are congruence rules called?

[Philip Wadler]

Thank you to all for the many suggestions, and to Vincent for pointing out
that 'congruence' should perhaps be called 'compatibility'. Yours, -- P

.   \ Philip Wadler, Professor of Theoretical Computer Science
.   /\ School of Informatics, University of Edinburgh
.  /  \ http://homepages.inf.ed.ac.uk/wadler/

On 3 July 2017 at 19:04, Philip Wadler <wadler at inf.ed.ac.uk> wrote:

> Reduction for the simply-typed call-by-value lambda calculus consists of
> the β rule,
>
>   (λx.N)V ⟹ N[x:=V]
>
> and the congruence rules
>
>   L ⟹ L′
>   ------------
>   L M ⟹ L′ M
>
>   M ⟹ M′
>   ------------
>   V M ⟹ V M′
>
> Question: Is there a standard greek letter for naming the congruence rules,
> such as κ or γ? Or any other relevant naming convention?
>
> Cheers, -- P
>
>
> .   \ Philip Wadler, Professor of Theoretical Computer Science
> .   /\ School of Informatics, University of Edinburgh
> .  /  \ http://homepages.inf.ed.ac.uk/wadler/
>
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