for(TNode::iterator formal = lambda[0].begin(), arg = node.begin(); formal != lambda[0].end(); ++formal, ++arg) {
// typechecking should ensure that the APPLY_UF is well-typed, correct arity, etc.
Assert(formal != node.end());
- substitutions.addSubstitution(*formal, *arg);
+ // This rewrite step is important: if we have (f (f 5)) for
+ // some lambda term f, we want to beta-reduce the inside (f 5)
+ // application first. Otherwise, we can end up in infinite
+ // recursion, because f's formal (say "x") gives the
+ // substitution "x |-> (f 5)". Fine, the body of the lambda
+ // gets (f 5) in place for x. But since the same lambda ("f")
+ // now occurs in the body, it's got the same bound var "x", so
+ // substitution continues and we replace that x by (f 5). And
+ // then again. :-(
+ //
+ // We need a better solution for distinguishing bound
+ // variables like this, but for now, handle it by going
+ // inside-out. (Quantifiers shouldn't ever have this problem,
+ // so long as the bound vars in different quantifiers are kept
+ // different.)
+ Node n = Rewriter::rewrite(*arg);
+ substitutions.addSubstitution(*formal, n);
}
return RewriteResponse(REWRITE_DONE, substitutions.apply(lambda[1]));
}
for(TNode::iterator formal = lambda[0].begin(), arg = node.begin(); formal != lambda[0].end(); ++formal, ++arg) {
// typechecking should ensure that the APPLY_UF is well-typed, correct arity, etc.
Assert(formal != node.end());
- // This rewrite step is important: if we have (f (f 5)) for
- // some lambda term f, we want to beta-reduce the inside (f 5)
- // application first. Otherwise, we can end up in infinite
- // recursion, because f's formal (say "x") gives the
- // substitution "x |-> (f 5)". Fine, the body of the lambda
- // gets (f 5) in place for x. But since the same lambda ("f")
- // now occurs in the body, it's got the same bound var "x", so
- // substitution continues and we replace that x by (f 5). And
- // then again. :-(
- //
- // We need a better solution for distinguishing bound
- // variables like this, but for now, handle it by going
- // inside-out. (Quantifiers shouldn't ever have this problem,
- // so long as the bound vars in different quantifiers are kept
- // different.)
+ // This rewrite step is important: see note in postRewrite().
Node n = Rewriter::rewrite(*arg);
substitutions.addSubstitution(*formal, n);
}