LLWiki LaTeX Style

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(→‎Proof trees: describe all available commands for proof trees)
(→‎Mathematical notations: added: limpinv, nlimp, nlimpinv, nlinequiv)
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| <math>A\limp B</math>
  
| <math>A\limp B</math>
 
| <pre>A\limp B</pre>
  
| <pre>A\limp B</pre>
  +
|-
  +
| <math>A\nlimp B</math>
  +
| <pre>A\nlimp B</pre>
  +
|-
  +
| <math>A\limpinv B</math>
  +
| <pre>A\limpinv B</pre>
  +
|-
  +
| <math>A\nlimpinv B</math>
  +
| <pre>A\nlimpinv B</pre>
 
|-
  
|-
 
| <math>A\linequiv B</math>
  
| <math>A\linequiv B</math>
 
| <pre>A\linequiv B</pre>
  
| <pre>A\linequiv B</pre>
  +
|-
  +
| <math>A\nlinequiv B</math>
  +
| <pre>A\nlinequiv B</pre>
 
|-
  
|-
 
| <math>\shpos A</math>
  
| <math>\shpos A</math>

Revision as of 14:41, 21 April 2010

Mathematical notations

A\orth 
A\orth
A\biorth 
A\biorth
A\triorth 
A\triorth
A\tens B 
A\tens B
A\parr B 
A\parr B
A\plus B 
A\plus B
A\with B 
A\with B
\one 
\one
\bot 
\bot
\zero 
\zero
\top 
\top
\oc A 
\oc A
\wn A 
\wn A
A\limp B 
A\limp B
A\nlimp B 
A\nlimp B
A\limpinv B 
A\limpinv B
A\nlimpinv B 
A\nlimpinv B
A\linequiv B 
A\linequiv B
A\nlinequiv B 
A\nlinequiv B
\shpos A 
\shpos A
\shneg A 
\shneg A
\shift A 
\shift A
\pg A 
\pg A
A\imp B 
A\imp B
\sem{A} 
\sem{A}
\web{A} 
\web{A}
A\coh B 
A\coh B
A\scoh B 
A\scoh B
A\incoh B 
A\incoh B
A\sincoh B 
A\sincoh B
A\cliq B 
A\cliq B
\set{x}{P} 
\set{x}{P}
\powerset{A} 
\powerset{A}
\finpowerset{A} 
\finpowerset{A}
\mulset{A} 
\mulset{A}
\finmulset{A} 
\finmulset{A}
\Bot 
\Bot
A\Perp B 
A\Perp B

Proof trees

Proof trees are described using a postfix syntax and terminated with \DisplayProof

Description Command Example LaTeX source
Axiom node
(for hypotheses) 
\AxRule
 \AxRule{\vdash A} \DisplayProof 
  \AxRule{\vdash A}
  \DisplayProof
Nullary rule
(for logical axioms) 
\NulRule
 \NulRule{A \vdash A} \DisplayProof 
  \NulRule{A \vdash A}
  \DisplayProof
Unary rule 
\UnaRule
 \AxRule{\vdash \wn\Gamma, A} \UnaRule{\vdash \wn\Gamma, \oc A} \DisplayProof 
  \AxRule{\vdash \wn\Gamma, A}
  \UnaRule{\vdash \wn\Gamma, \oc A}
  \DisplayProof
Binary rule 
\BinRule
 \AxRule{\Gamma\vdash A} \AxRule{\Delta,A\vdash C} \BinRule{\Gamma,\Delta\vdash C} \DisplayProof 
  \AxRule{\Gamma\vdash A}
  \AxRule{\Delta,A\vdash C}
  \BinRule{\Gamma,\Delta\vdash C}
  \DisplayProof
Ternary rule 
\TriRule
 \AxRule{\vdash A} \AxRule{\vdash B} \AxRule{\vdash C} \TriRule{\vdash A\land B\land C} \DisplayProof 
  \AxRule{\vdash A}
  \AxRule{\vdash B}
  \AxRule{\vdash C}
  \TriRule{\vdash A\land B\land C}
  \DisplayProof
Label
(before any of the above) 
\LabelRule
 \AxRule{\Gamma\vdash A} \AxRule{\Delta,A\vdash C} \LabelRule{\rulename{cut}} \BinRule{\Gamma,\Delta\vdash C} \DisplayProof 
  \AxRule{\Gamma\vdash A}
  \AxRule{\Delta,A\vdash C}
  \LabelRule{\rulename{cut}}
  \BinRule{\Gamma,\Delta\vdash C}
  \DisplayProof
Proof ellipsis
(two arguments !) 
\VdotsRule
 \AxRule{[A]} \VdotsRule{\pi}{B} \UnaRule{A\imp B} \DisplayProof 
  \AxRule{[A]}
  \VdotsRule{\pi}{B}
  \UnaRule{A\imp B}
  \DisplayProof

UNIQ27fb0e3e58e3e6b7-math-00000061-QINU

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