You are now mixing correct and conforming programs. Neither the C or C++ Standard mention anything involving correct programs. C uses the term conforming program and C++ uses the term well-formed program.

In C a conforming program is any program that satisfies any single conforming implementation, even if said implementation includes extensions or non-portable constructs. A strictly conforming program is a program that satisfies every conforming implementation, which implies that said program does not produce an output that depends on undefined, unspecified, or implementation defined behavior.

In C++ a well-formed program is any program that satisfies the syntax rules, diagnosable semantic rules and the one-definition rule.