LLWiki LaTeX Style

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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
A\pinj B
A\pinj B
\inner{A}{B}
\inner{A}{B}
\Inner{A}{B}
\Inner{A}{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

UNIQ4a54440de1ded0b-math-00000067-QINU

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