Pipe-calculus: Difference between revisions

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a^+ . s \pipe a^- . t \rew & s \pipe t \\
a^+ . s \pipe a^- . t \rew & s \pipe t \\
\out s . t \pipe \in x . u \rew & t \pipe u[s/x] \\
\out s . t \pipe \in x . u \rew & t \pipe u[s/x] \\
r \alt s \pipe t \alt u \rew & (r \pipe t \alt u) \alt (s \pipe t \alt u) \\
s \alt t \pipe u \rew & (s \pipe u) \alt (t \pipe u) \\
s \alt t \pipe u \rew & (s \pipe u) \alt (t \pipe u) \\
s \pipe t \alt u \rew & (s \pipe t) \alt (s \pipe u) \\  
s \pipe t \alt u \rew & (s \pipe t) \alt (s \pipe u) \\  
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