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[PATRICK BROWNE <patrick.browne AT dit.ie>]

Thanks, that clarifies the position.

I see that a theory cannot be imported into a module. Theories can only be used as parameters of modules. So the code below is not legal Maude.

What is the rational here?  Are there any references the cover the importation of theories into modules?

Pat

fth COUNTRY is

  sort Country .

  op EnglishSpeakingCountry : -> Country .

endfth

fmod  PLANETS is

including COUNTRY .

sort Planet .

  op Earth : -> Planet .

  op onEarth : Country Planet -> Bool .

  eq onEarth(EnglishSpeakingCountry,Earth) = true .

endfm

On 6 August 2018 at 08:26, PATRICK BROWNE <patrick.browne AT dit.ie> wrote:

I am trying represent the fact that exactly one named object exists (uniqueness quantifier) and some object exists (existential quantifier).

To do this, I am using constants within Maude's function modules (tight denotation) and theories (loose denotation).

Does the Maude code below capture the meaning of the following senetences?

There is one and only one Earth. On Earth there exists at least one country where people speak English.

fmod  PLANETS is

*** Uniqueness quantifier, there is one and only one Earth

sort Planet .

  op Earth : -> Planet .

endfm

fth COUNTRY is

  pr PLANETS .

  sort Country .

  ***  Existential quantifier, there is at least one English speaking country

  op EnglishSpeakingCountry : -> Country .

  op onEarth : Country Planet -> Bool .

  eq onEarth(EnglishSpeakingCountry,Earth) = true .

endfth

Thanks,

Pat

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