You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

5 lines
478 B

5 months ago
  1. \item \self Consider the following formula in the conjunctive fragment of $\mathcal{T}_{EUF}$. Let $a \neq b$ be a shorthand notation for $\lnot(a=b)$.
  2. \begin{align*}
  3. f(b) = a \land c \neq d \land f(e) = b \land d \neq f(b) \land f(a) = f(e) \; \land \\
  4. b \neq f(b) \land a \neq e \land f(a) = e \land a = c \land f(b) \neq e \land d = f(c)
  5. \end{align*}
  6. Use the \textit{Congruence Closure} algorithm to determine whether this formula is satisfiable.