Jump to content

Transition Systems: Difference between revisions

From Termination-Portal.org
Mmjb (talk | contribs)
No edit summary
Mmjb (talk | contribs)
No edit summary
Line 1: Line 1:
[[Category: Categories]]
[[Category: Categories]]


=== Semantics ===
Syntax and semantics of the format are presented in [http://research.microsoft.com/apps/pubs/?id=219529].
 
We define a (global) transition relation <math>\mathit{next}</math> as follows:
<math>
  \begin{array}[t]{@{}l@{}}
  ((x \cdot \mathit{xs}), (y \cdot \mathit{ys})) \in \mathit{next} \text{ iff } \\[\jot]
  \qquad\qquad
    \exists p \in \mathit{Proc} :
    \begin{array}[t]{@{}r@{}l@{}}
      &\mathit{step}_p(x, y) \land \mathit{xs} = \mathit{ys}  \\[\jot]
      \mathrel{\lor}& \exists q \in \mathit{Proc}:
      \begin{array}[t]{@{}r@{}l@{}}
        &\mathit{call}^p_q(x, y) \land (x \cdot \mathit{xs}) = \mathit{ys} \\[\jot]
        \mathrel{\lor} &\mathit{return}^p_q(x, z, y) \land \mathit{xs} = (z \cdot \mathit{ys})
      \end{array}
    \end{array}
\end{array}
</math>

Revision as of 09:10, 16 June 2014


Syntax and semantics of the format are presented in [1].