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(example of proof tree)
(Mathematical notations: \powerset,... added)
Line 86: Line 86:
 
| <math>\set{x}{P}</math>
 
| <math>\set{x}{P}</math>
 
| <pre>\set{x}{P}</pre>
 
| <pre>\set{x}{P}</pre>
  +
|-
  +
| <math>\powerset{A}</math>
  +
| <pre>\powerset{A}</pre>
  +
|-
  +
| <math>\finpowerset{A}</math>
  +
| <pre>\finpowerset{A}</pre>
  +
|-
  +
| <math>\mulset{A}</math>
  +
| <pre>\mulset{A}</pre>
  +
|-
  +
| <math>\finmulset{A}</math>
  +
| <pre>\finmulset{A}</pre>
 
|-
 
|-
 
| <math>\Bot</math>
 
| <math>\Bot</math>

Revision as of 18:23, 10 June 2009

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\linequiv B
A\linequiv 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


\AxRule{{}\vdash\Gamma,A\parr B\parr C}
\NulRule{{}\vdash A,A\orth}
\NulRule{{}\vdash B,B\orth}
\NulRule{{}\vdash C,C\orth}
\TriRule{{}\vdash A,B,C,A\orth\tens B\orth\tens C\orth}
\LabelRule{\rulename{cut}}
\BinRule{{}\vdash\Gamma,A,B,C}
\UnaRule{{}\vdash\Gamma,A\parr B\parr C}
\DisplayProof

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