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(Proofs: only a simple example)
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=== Proofs ===
 
=== Proofs ===
   
The syntax for proofs is based on the [http://whttp://www.math.ucsd.edu/~sbuss/ResearchWeb/bussproofs/ bussproofs.sty] package, but available only through a sugar-coated specific to llwiki. Here is an example:
+
The syntax for proofs is based on the [http://www.math.ucsd.edu/~sbuss/ResearchWeb/bussproofs/ bussproofs.sty] package, but available only through a sugar-coated specific to llwiki. Here is an example:
 
<pre>
 
<pre>
 
\AxRule{}
 
\AxRule{}

Latest revision as of 16:06, 8 December 2009

Contents

[edit] User account

  • Use "FirstName LastName" as Username.
  • Use a valid e-mail address.

[edit] Conventions

  • Use English only, even for comments, discussions, ...
  • Use == Header == for higher-level headers, do not use only one equals sign on a side.

[edit] Notations

For uniformity, use the common notations when they are already defined, and add your notations to the notations page when you introduce new ones.

[edit] Definitions and theorems

For theorem-style environments, use the appropriate predefined templates: Definition, Theorem, Proposition, Lemma, Corollary (with an optional parameter "title"). Additional templates are Proof for proofs and Remark for remarks.

{{Definition|title=Concept|A new concept.}}

{{Theorem|This is a nice concept.}}

{{Proof|Left to the reader.}}

{{Remark|Really nice, isn't it?}}

Definition (Concept)

A new concept.

Theorem

This is a nice concept.

Proof. Left to the reader.

Remark: Really nice, isn't it?

[edit] Mathematical typesetting

[edit] Formulas

[edit] Proofs

The syntax for proofs is based on the bussproofs.sty package, but available only through a sugar-coated specific to llwiki. Here is an example:

\AxRule{}
\VdotsRule{s}{{}\vdash\Gamma,A\imp B}
\AxRule{}
\VdotsRule{t}{{}\vdash\Gamma, A}
\BinRule{{}\vdash \Gamma, B}
\LabelRule{\rulename{modus ponens}}
\DisplayProof
\quad
\longrightarrow_\beta
\quad
\AxRule{}
\VdotsRule{s[t/x]}{{}\vdash\Gamma, B}
\DisplayProof


\AxRule{}
\VdotsRule{s}{{}\vdash\Gamma,A\imp B}
\AxRule{}
\VdotsRule{t}{{}\vdash\Gamma, A}
\BinRule{{}\vdash \Gamma, B}
\LabelRule{\rulename{modus ponens}}
\DisplayProof
\quad
\longrightarrow_\beta
\quad
\AxRule{}
\VdotsRule{s[t/x]}{{}\vdash\Gamma, B}
\DisplayProof

A list of all available macros for proofs is available on the page for the LLWiki LaTeX package.

[edit] Set of rules

For a group of rules, separate rules on a line by \qquad and separate lines by <br />.

<math>
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_1}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_1}
\BinRule{\textit{Concl}}
\DisplayProof
</math>

<br />

<math>
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_3}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_4}
\BinRule{\textit{Concl}}
\DisplayProof
</math>


\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_1}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_2}
\BinRule{\textit{Concl}}
\DisplayProof



\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_3}
\BinRule{\textit{Concl}}
\DisplayProof
\qquad
\AxRule{\textit{Hyp}_1}
\AxRule{\textit{Hyp}_2}
\LabelRule{\rulename{Rule}_4}
\BinRule{\textit{Concl}}
\DisplayProof

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