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-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- A RelaxNG schema for Open Mathematical documents (OMDoc 1.3) Module ST
- $Id: omdocst.rnc 8972 2011-09-09 11:36:34Z kohlhase $
- $HeadURL: https://svn.omdoc.org/repos/omdoc/branches/omdoc-1.3/schema/rnc/omdocst.rnc $
- See the documentation and examples at http://www.omdoc.org
- Copyright (c) 2004-2007 Michael Kohlhase, released under the GNU Public License (GPL)
--->
-<grammar ns="http://omdoc.org/ns" xmlns:omdoc="http://omdoc.org/ns" xmlns:a="http://relaxng.org/ns/compatibility/annotations/1.0" xmlns="http://relaxng.org/ns/structure/1.0" datatypeLibrary="http://www.w3.org/2001/XMLSchema-datatypes">
- <define name="omdoc.class" combine="interleave">
- <interleave>
- <zeroOrMore>
- <ref name="symbol"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="axiom"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="definition"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="imports"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="assertion"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="type"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="alternative"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="example"/>
- </zeroOrMore>
- <zeroOrMore>
- <ref name="theory"/>
- </zeroOrMore>
- </interleave>
- </define>
- <define name="constitutive.attribs">
- <interleave>
- <ref name="id.attribs"/>
- <optional>
- <attribute name="generated-from">
- <ref name="omdocref"/>
- </attribute>
- </optional>
- </interleave>
- </define>
- <define name="sym.role.attrib">
- <attribute name="role">
- <choice>
- <value>type</value>
- <value>sort</value>
- <value>object</value>
- <value>binder</value>
- <value>attribution</value>
- <value>application</value>
- <value>constant</value>
- <value>semantic-attribution</value>
- <value>error</value>
- </choice>
- </attribute>
- </define>
- <define name="theory-unique">
- <data type="NCName"/>
- </define>
- <define name="scope.attrib">
- <optional>
- <attribute name="scope">
- <choice>
- <value>global</value>
- <value>local</value>
- </choice>
- </attribute>
- </optional>
- </define>
- <define name="symbol.attribs">
- <interleave>
- <ref name="scope.attrib"/>
- <optional>
- <attribute name="name">
- <ref name="theory-unique"/>
- </attribute>
- </optional>
- <ref name="constitutive.attribs"/>
- <optional>
- <ref name="sym.role.attrib"/>
- </optional>
- </interleave>
- </define>
- <define name="symbol.model">
- <interleave>
- <ref name="metadata.class"/>
- <zeroOrMore>
- <ref name="type"/>
- </zeroOrMore>
- </interleave>
- </define>
- <define name="symbol">
- <element name="symbol">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="symbol.attribs"/>
- <ref name="symbol.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="forname.attrib">
- <attribute name="for">
- <list>
- <oneOrMore>
- <data type="NCName"/>
- </oneOrMore>
- </list>
- </attribute>
- </define>
- <define name="axiom.attribs">
- <interleave>
- <ref name="constitutive.attribs"/>
- <ref name="forname.attrib"/>
- <optional>
- <attribute name="type">
- <data type="string"/>
- </attribute>
- </optional>
- </interleave>
- </define>
- <define name="axiom.model">
- <interleave>
- <ref name="metadata.class"/>
- <ref name="mcf.class"/>
- </interleave>
- </define>
- <define name="axiom">
- <element name="axiom">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="axiom.attribs"/>
- <ref name="axiom.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <!-- informal definitions -->
- <define name="def.informal">
- <optional>
- <attribute name="type">
- <value>informal</value>
- </attribute>
- </optional>
- </define>
- <!-- simple definitions -->
- <define name="def.simple.attribs">
- <attribute name="type">
- <value>simple</value>
- </attribute>
- </define>
- <define name="def.simple">
- <interleave>
- <ref name="def.simple.attribs"/>
- <ref name="mobj"/>
- </interleave>
- </define>
- <!-- implicit definitions -->
- <define name="exists.attrib">
- <attribute name="existence">
- <ref name="omdocref"/>
- </attribute>
- </define>
- <define name="unique.attrib">
- <attribute name="uniqueness">
- <ref name="omdocref"/>
- </attribute>
- </define>
- <define name="def.implicit.attribs">
- <interleave>
- <attribute name="type">
- <value>implicit</value>
- </attribute>
- <optional>
- <ref name="exists.attrib"/>
- </optional>
- <optional>
- <ref name="unique.attrib"/>
- </optional>
- </interleave>
- </define>
- <define name="def.implicit">
- <interleave>
- <ref name="def.implicit.attribs"/>
- <zeroOrMore>
- <ref name="FMP"/>
- </zeroOrMore>
- </interleave>
- </define>
- <define name="exhaust.attrib">
- <attribute name="exhaustivity">
- <ref name="omdocref"/>
- </attribute>
- </define>
- <define name="consist.attrib">
- <attribute name="consistency">
- <ref name="omdocref"/>
- </attribute>
- </define>
- <define name="def.pattern.attribs">
- <interleave>
- <optional>
- <attribute name="type">
- <value>pattern</value>
- </attribute>
- </optional>
- <optional>
- <ref name="exhaust.attrib"/>
- </optional>
- <optional>
- <ref name="consist.attrib"/>
- </optional>
- </interleave>
- </define>
- <define name="def.pattern.model">
- <zeroOrMore>
- <ref name="requation"/>
- </zeroOrMore>
- </define>
- <define name="def.pattern">
- <interleave>
- <ref name="def.pattern.attribs"/>
- <ref name="def.pattern.model"/>
- </interleave>
- </define>
- <define name="def.inductive.attribs">
- <interleave>
- <optional>
- <attribute name="type">
- <value>inductive</value>
- </attribute>
- </optional>
- <optional>
- <ref name="exhaust.attrib"/>
- </optional>
- <optional>
- <ref name="consist.attrib"/>
- </optional>
- </interleave>
- </define>
- <define name="def.inductive.model">
- <interleave>
- <zeroOrMore>
- <ref name="requation"/>
- </zeroOrMore>
- <optional>
- <ref name="measure"/>
- </optional>
- <optional>
- <ref name="ordering"/>
- </optional>
- </interleave>
- </define>
- <define name="def.inductive">
- <interleave>
- <ref name="def.inductive.attribs"/>
- <ref name="def.inductive.model"/>
- </interleave>
- </define>
- <define name="def.eq">
- <choice>
- <ref name="def.pattern"/>
- <ref name="def.inductive"/>
- </choice>
- </define>
- <!-- all definition forms, add more by extending this. -->
- <define name="defs.all">
- <choice>
- <ref name="def.informal"/>
- <ref name="def.simple"/>
- <ref name="def.implicit"/>
- <ref name="def.eq"/>
- </choice>
- </define>
- <!--
- Definitions contain CMPs, FMPs and concept specifications.
- The latter define the set of concepts defined in this element.
- They can be reached under this name in the content dictionary
- of the name specified in the theory attribute of the definition.
- -->
- <define name="definition.attribs">
- <interleave>
- <ref name="constitutive.attribs"/>
- <ref name="forname.attrib"/>
- </interleave>
- </define>
- <define name="definition">
- <element name="definition">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="definition.attribs"/>
- <ref name="mc.class"/>
- <ref name="defs.all"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="requation.attribs">
- <ref name="id.attribs"/>
- </define>
- <define name="requation.model">
- <ref name="mobj"/>
- <ref name="mobj"/>
- </define>
- <define name="requation">
- <element name="requation">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="requation.attribs"/>
- <ref name="requation.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="measure.attribs">
- <ref name="id.attribs"/>
- </define>
- <define name="measure.model">
- <ref name="mobj"/>
- </define>
- <define name="measure">
- <element name="measure">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="measure.attribs"/>
- <ref name="measure.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="ordering.attribs">
- <interleave>
- <ref name="id.attribs"/>
- <optional>
- <attribute name="terminating">
- <ref name="omdocref"/>
- </attribute>
- </optional>
- </interleave>
- </define>
- <define name="ordering.model">
- <ref name="mobj"/>
- </define>
- <define name="ordering">
- <element name="ordering">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="ordering.attribs"/>
- <ref name="ordering.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <!-- the non-constitutive statements, they need a theory attribute -->
- <define name="toplevel.attribs" combine="interleave">
- <optional>
- <attribute name="theory">
- <ref name="omdocref"/>
- </attribute>
- </optional>
- </define>
- <define name="ded.status.class">
- <choice>
- <value>satisfiable</value>
- <value>counter-satisfiable</value>
- <value>no-consequence</value>
- <value>theorem</value>
- <value>conter-theorem</value>
- <value>contradictory-axioms</value>
- <value>tautologous-conclusion</value>
- <value> tautology</value>
- <value>equivalent</value>
- <value>conunter-equivalent</value>
- <value>unsatisfiable-conclusion</value>
- <value>unsatisfiable</value>
- </choice>
- </define>
- <define name="just-by.attrib">
- <attribute name="just-by">
- <ref name="omdocref"/>
- </attribute>
- </define>
- <define name="assertion.attribs">
- <interleave>
- <ref name="toplevel.attribs"/>
- <optional>
- <attribute name="type">
- <ref name="assertiontype"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="status">
- <ref name="ded.status.class"/>
- </attribute>
- </optional>
- <optional>
- <ref name="just-by.attrib"/>
- </optional>
- </interleave>
- </define>
- <define name="assertion.model">
- <ref name="mcf.class"/>
- </define>
- <define name="assertion">
- <element name="assertion">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="assertion.attribs"/>
- <ref name="assertion.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <!--
- the assertiontype has no formal meaning yet, it is solely for human consumption.
- 'just-by' is a list of URIRefs that point to proof objects, etc that justifies the status.
- -->
- <define name="type.attribs">
- <interleave>
- <ref name="toplevel.attribs"/>
- <optional>
- <ref name="just-by.attrib"/>
- </optional>
- <optional>
- <attribute name="system">
- <ref name="omdocref"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="for">
- <ref name="omdocref"/>
- </attribute>
- </optional>
- </interleave>
- </define>
- <define name="type.model">
- <ref name="mc.class"/>
- <ref name="mobj"/>
- <optional>
- <ref name="mobj"/>
- </optional>
- </define>
- <define name="type">
- <element name="type">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="type.attribs"/>
- <ref name="type.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="alternative.attribs">
- <a:documentation>just-by, points to the theorem justifying well-definedness
-entailed-by, entails, point to other (equivalent definitions
-entailed-by-thm, entails-thm point to the theorems justifying
-the entailment relation)</a:documentation>
- <interleave>
- <ref name="toplevel.attribs"/>
- <ref name="for.attrib"/>
- <choice>
- <group>
- <attribute name="equivalence">
- <ref name="omdocref"/>
- </attribute>
- <attribute name="equivalence-thm">
- <ref name="omdocref"/>
- </attribute>
- </group>
- <interleave>
- <attribute name="entailed-by">
- <ref name="omdocref"/>
- </attribute>
- <attribute name="entails">
- <ref name="omdocref"/>
- </attribute>
- <attribute name="entailed-by-thm">
- <ref name="omdocref"/>
- </attribute>
- <attribute name="entails-thm">
- <ref name="omdocref"/>
- </attribute>
- </interleave>
- </choice>
- </interleave>
- </define>
- <define name="alternative.model">
- <interleave>
- <ref name="mc.class"/>
- <ref name="defs.all"/>
- </interleave>
- </define>
- <define name="alternative">
- <element name="alternative">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="alternative.attribs"/>
- <ref name="alternative.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="example.attribs">
- <interleave>
- <ref name="toplevel.attribs"/>
- <ref name="for.attrib"/>
- <optional>
- <attribute name="type">
- <choice>
- <value>for</value>
- <value>against</value>
- </choice>
- </attribute>
- </optional>
- <optional>
- <attribute name="assertion">
- <ref name="omdocref"/>
- </attribute>
- </optional>
- </interleave>
- </define>
- <define name="example.model">
- <ref name="mc.class"/>
- <zeroOrMore>
- <ref name="mobj"/>
- </zeroOrMore>
- </define>
- <define name="example">
- <element name="example">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="example.attribs"/>
- <ref name="example.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="theory.attribs">
- <interleave>
- <ref name="id.attribs"/>
- <optional>
- <attribute name="cdurl">
- <data type="anyURI"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="cdbase">
- <data type="anyURI"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="cdreviewdate">
- <data type="date"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="cdversion">
- <data type="nonNegativeInteger"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="cdrevision">
- <data type="nonNegativeInteger"/>
- </attribute>
- </optional>
- <optional>
- <attribute name="cdstatus">
- <choice>
- <value>official</value>
- <value>experimental</value>
- <value>private</value>
- <value>obsolete</value>
- </choice>
- </attribute>
- </optional>
- </interleave>
- </define>
- <define name="theory.model">
- <interleave>
- <ref name="metadata.class"/>
- <ref name="omdoc.class"/>
- </interleave>
- </define>
- <define name="theory">
- <element name="theory">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="theory.attribs"/>
- <ref name="theory.model"/>
- </interleave>
- </choice>
- </element>
- </define>
- <define name="imports.attribs">
- <interleave>
- <ref name="id.attribs"/>
- <ref name="from.attrib"/>
- </interleave>
- </define>
- <define name="imports.model">
- <ref name="metadata.class"/>
- </define>
- <define name="imports">
- <element name="imports">
- <choice>
- <ref name="tref"/>
- <interleave>
- <ref name="imports.attribs"/>
- <ref name="imports.model"/>
- </interleave>
- </choice>
- </element>
- </define>
-</grammar>