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(Mathematical notations: \Bot and \Perp added)
(example of proof tree)
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== Proof trees ==
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<math>
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\AxRule{{}\vdash\Gamma,A\parr B\parr C}
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\NulRule{{}\vdash A,A\orth}
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\NulRule{{}\vdash B,B\orth}
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\NulRule{{}\vdash C,C\orth}
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\TriRule{{}\vdash A,B,C,A\orth\tens B\orth\tens C\orth}
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\LabelRule{\rulename{cut}}
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\BinRule{{}\vdash\Gamma,A,B,C}
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\UnaRule{{}\vdash\Gamma,A\parr B\parr C}
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\DisplayProof
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</math>

Revision as of 10:39, 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}
\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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