I think that when a software is proprietary, then its source code is "legally defended" and hence not released to the general public in any way.
Are the terms proprietary software and closed source software synonymous?
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Sign up to join this communityNo, “proprietary software” is not necessarily “closed source” – there is also software that is proprietary yet still has source code publicly available. But it depends on exact definitions.
Open Source software describes programs that provide their recipients with Software Freedom. This includes the right to use the software for any purpose, to modify it, and to share it in original or modified form under the same terms. Access to the source code is precondition for being able to modify the software and thus a precondition for Open Source, but access to source code is not the defining feature of Open Source.
Open Source licenses work because the software is copyrighted. It is not public domain. However, public domain software can also be Open Source if the source code is available.
Proprietary software is software that is not Open Source. That means it is not available under licenses that provide Software Freedom.
Proprietary vs Open Source is not a completely binary choice, it is more of a spectrum. Whereas Open Source is clearly defined, there are many variants of proprietary software with some degree of openness.
Proprietary software where the source code is publicly available is sometimes called Shared Source or Source Available. Such software is still proprietary and cannot be used or modified for any purpose. In particular, software without any license can only be looked at, but not modified or copied: the default license under copyright is “all rights reserved”.
There are variants of software that are neither Open Source nor quite proprietary. The term “proprietary” implies that the rights are retained by the software's owner. However, there is software without such a singular owner (so not proprietary), but also without providing Software Freedom to recipients (so not Open Source). Such licenses are also covered the Source Available term, though there is a need for a separate term to accurately describe this space. Here, we often see licenses that are mostly open but want to prevent certain uses, e.g. the SSPL license, the Creative Commons NonCommercial license variants, or licenses from the Ethical Source movement.
proprietary software is not necessarily closed source software
but that closed source is necessarily proprietary software
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