Improve simplification of expr[*0..1]
Fixes #108. * spot/tl/simplify.cc: Implement the reduction. * doc/tl/tl.tex, NEWS: Document it. * tests/core/reduccmp.test: Test it.
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4 changed files with 10 additions and 2 deletions
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@ -1560,8 +1560,9 @@ presence of \samp{$\AND$} operators, but unfortunately not when the
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We extend the above definition to bounded repetitions with:
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\begin{align*}
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r\STAR{\mvar{i}..\mvar{j}} & \equiv r^\square\STAR{0..\mvar{j}}\quad\text{if}\quad\varepsilon\VDash r\STAR{\mvar{i}..\mvar{j}}\text{~and~}\varepsilon\not\VDash r^\square\\
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r\STAR{\mvar{i}..\mvar{j}} & \equiv r^\square\STAR{1..\mvar{j}}\quad\text{if}\quad\varepsilon\VDash r\STAR{\mvar{i}..\mvar{j}}\text{~and~}\varepsilon\VDash r^\square
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r\STAR{\mvar{i}..\mvar{j}} & \equiv r^\square\STAR{0..\mvar{j}}\quad\text{if}\quad\varepsilon\VDash r\STAR{\mvar{i}..\mvar{j}},\,\varepsilon\not\VDash r^\square,\,\text{~and~}j>1\\
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r\STAR{\mvar{i}..\mvar{j}} & \equiv r^\square\STAR{1..\mvar{j}}\quad\text{if}\quad\varepsilon\VDash r\STAR{\mvar{i}..\mvar{j}},\,\varepsilon\VDash r^\square\,\text{~and~}j>1\\
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r\STAR{\mvar{i}..\mvar{j}} & \equiv r\phantom{^\square\STAR{1..\mvar{j}}}\quad\text{if}\quad\varepsilon\VDash r\text{~and~}\mvar{j}=1
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\end{align*}
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where $r^\square$ is recursively defined as follows:
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\begin{align*}
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