Rule logic.propositional.buggy.assoc
Parameters | |
Buggy | yes |
Rewrite rule | yes |
Siblings |
Rewrite rule
p ∨ (q ∧ r) ⇏ (p ∨ q) ∧ r(p ∨ q) ∧ r ⇏ p ∨ (q ∧ r)
(p ∧ q) ∨ r ⇏ p ∧ (q ∨ r)
p ∧ (q ∨ r) ⇏ (p ∧ q) ∨ r
Formal Mathematical Properties
<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/><OMV name="$2"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="or"/><OMV name="$0"/><OMA><OMS cd="logic1" name="and"/><OMV name="$1"/><OMV name="$2"/></OMA></OMA><OMA><OMS cd="logic1" name="and"/><OMA><OMS cd="logic1" name="or"/><OMV name="$0"/><OMV name="$1"/></OMA><OMV name="$2"/></OMA></OMA></OMBIND></OMOBJ></FMP>
<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/><OMV name="$2"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="and"/><OMA><OMS cd="logic1" name="or"/><OMV name="$0"/><OMV name="$1"/></OMA><OMV name="$2"/></OMA><OMA><OMS cd="logic1" name="or"/><OMV name="$0"/><OMA><OMS cd="logic1" name="and"/><OMV name="$1"/><OMV name="$2"/></OMA></OMA></OMA></OMBIND></OMOBJ></FMP>
<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/><OMV name="$2"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="or"/><OMA><OMS cd="logic1" name="and"/><OMV name="$0"/><OMV name="$1"/></OMA><OMV name="$2"/></OMA><OMA><OMS cd="logic1" name="and"/><OMV name="$0"/><OMA><OMS cd="logic1" name="or"/><OMV name="$1"/><OMV name="$2"/></OMA></OMA></OMA></OMBIND></OMOBJ></FMP>
<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="exists"/><OMBVAR><OMV name="$0"/><OMV name="$1"/><OMV name="$2"/></OMBVAR><OMA><OMS cd="relation1" name="neq"/><OMA><OMS cd="logic1" name="and"/><OMV name="$0"/><OMA><OMS cd="logic1" name="or"/><OMV name="$1"/><OMV name="$2"/></OMA></OMA><OMA><OMS cd="logic1" name="or"/><OMA><OMS cd="logic1" name="and"/><OMV name="$0"/><OMV name="$1"/></OMA><OMV name="$2"/></OMA></OMA></OMBIND></OMOBJ></FMP>