OpenMath Content Dictionary: lc

Canonical URL:
http://www.openmath.org/cd/lc.ocd
CD Base:
http://www.openmath.org/cd
CD File:
lc.ocd
CD as XML Encoded OpenMath:
lc.omcd
Defines:
Lambda, PiType, mapsto, type, typecoerce
Date:
2004-03-30
Version:
2 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

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     holder permits you to develop any derived work from this document
     provided that the following conditions are met.
       a) The derived work acknowledges the fact that it is derived from
          this document, and maintains a prominent reference in the 
          work to the original source.
       b) The fact that the derived work is not the original OpenMath 
          document is stated prominently in the derived work.  Moreover if
          both this document and the derived work are Content Dictionaries
          then the derived work must include a different CDName element,
          chosen so that it cannot be confused with any works adopted by
          the OpenMath Society.  In particular, if there is a Content 
          Dictionary Group whose name is, for example, `math' containing
          Content Dictionaries named `math1', `math2' etc., then you should 
          not name a derived Content Dictionary `mathN' where N is an integer.
          However you are free to name it `private_mathN' or some such.  This
          is because the names `mathN' may be used by the OpenMath Society
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  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
            

Lambda Calculus

Initial version: O. Caprotti


type

Role:
semantic-attribution
Description:

Attribution tag to denote type-judgement

Signatures:
sts


[Next: typecoerce] [Last: Lambda] [Top]

typecoerce

Role:
semantic-attribution
Description:

Attribution tag to denote type-judgement with coercion

Signatures:
sts


[Next: PiType] [Previous: type] [Top]

PiType

Role:
application
Description:

The type constructor of dependant function space. It binds the (type-attributed) variables in the body, that is an OpenMath object.

Example:
Signatures:
sts


[Next: mapsto] [Previous: typecoerce] [Top]

mapsto

Role:
application
Description:

The type constructor of non-dependant function space. The first n-1 children denote the types of the arguments, the last denotes the return type. Contrary to sts:mapsto, arguments cannot be variables but have to be OpenMath objects that map to ground OpenMath terms (they contain no variables).

Signatures:
sts


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Lambda

Role:
application
Description:

The abstraction constructor. It is followed by a list of variables and an OpenMath object.

Signatures:
sts


[First: type] [Previous: mapsto] [Top]