Re: [TYPES] a naive question on datatype declarations
Jon Sterling <[email protected]> Mon, 29 Jan 2024 08:23:37 +0000
| Newsgroups | gmane.comp.science.types |
|---|---|
| Message-ID | <[email protected]> |
WyBUaGUgVHlwZXMgRm9ydW0sIGh0dHA6Ly9saXN0cy5zZWFzLnVwZW5uLmVkdS9tYWlsbWFuL2xp c3RpbmZvL3R5cGVzLWxpc3QgXQoKVGhvcnN0ZW4g4oCUIFRoZSB1c2Ugb2YgYWJzdHJhY3QgdHlw ZXMgdG8gZm9ybWFsbHkgZGlzdGluZ3Vpc2ggdHdvIGNvcGllcyBvZiB0aGUgInNhbWUiIGRhdGEg dHlwZSBpcyBwcmVjaXNlbHkgdGhlIHRoaW5nIHRoYXQgYXZvaWRzIG9ic2VydmluZyBhbnl0aGlu ZyBhYm91dCBhIGRhdGF0eXBlIGJleW9uZCBpdHMgaXNvbW9ycGhpc20gY2xhc3MsIGFuZCB0aGlz IGRvZXMgY2VydGFpbmx5IG5vdCBpbXBseSBpbnRyb2R1Y2luZyB0YWdzLiBZb3VyIHByb3Bvc2Vk IHNvbHV0aW9uLCB0byBpbnRyb2R1Y2UgdGFncyBpbiBvcmRlciB0byBkaXN0aW5ndWlzaCB0d28g ZGlmZmVyZW50IGludGVuZGVkIHVzZXMgb2YgYSBkYXRhdHlwZSwgaXMgZmFyIHRvbyBzdHJvbmcg YW5kIGlzIHVubmVjZXNzYXJ5LiBJbmRlZWQsIHdpdGggdGFncywgeW91IHdvdWxkIGJlIGFibGUg dG8gc2hvdyB0aGUgbmVnYXRpb24gb2YgIkFnZUludCA9IExlbmd0aEludCIgb3Igc29tZXRoaW5n LCBidXQgYWxsIHRoYXQgaXMgbmVlZGVkIHRvIGFuc3dlciBHZXJzaG9tJ3MgcXVlc3Rpb24gaXMg dGhhdCB3ZSAiQWdlSW50ID0gTGVuZ3RoSW50IiBiZSBub24tZGVyaXZhYmxlLiBJbiB0aGUgcGFz dCwgY2VydGFpbiBzeXN0ZW1zIGhhdmUgaW1wbGVtZW50ZWQgYWJzdHJhY3Rpb24gYnkgbWVhbnMg b2YgdGFncywgYnV0IHRoYXQgaXMgbm90IG5lY2Vzc2FyeTsgdGhlIHNpbXBsZXN0IGltcGxlbWVu dGF0aW9uIG9mIGFic3RyYWN0aW9uIGlzIGEgZm9ybSBvZiBsZXQtYmluZGluZywgd2hpY2ggb2J2 aW91c2x5IGludHJvZHVjZXMgbm8gbm90aW9uIG9mIHRhZyDigJQgYW5kIGlzIGNvbXBhdGlibGUg bmVpdGhlciAiQWdlSW50ID0gTGVuZ3RoSW50IiBub3IgIk5vdChBZ2VJbnQgPSBMZW5ndGhJbnQp IiBiZWluZyBkZXJpdmFibGUsIGFzIGlzIGRlc2lyYWJsZSBpbiB0aGUgcHJlc2VudCBkaXNjdXNz aW9uLgoKSSB3b3VsZCBzYXkgdGhhdCB0aGUgY29uY2VwdCBvZiB0YWdzIGlzIGEgc2VwYXJhdGUg b25lIHRoYXQgaGFzIGRlZXAgYW5kIGludGVyZXN0aW5nIHRoZW9yeSBhbmQgYXBwbGljYXRpb25z LCBhcyBKb25hdGhhbiBBbGRyaWNoIGhhcyBwb2ludGVkIG91dC4gQnV0IHR5cGUgYWJzdHJhY3Rp b24gZG9lcyBub3QgaW1wbHkgdGFnZ2luZyDigJQgbm90IGV2ZW4gInN0YXRpYyIgdGFnZ2luZy4g VGFnZ2luZyBpcyBpbXBvcnRhbnQgd2hlbiB5b3Ugd2FudCB0byBiZSBhYmxlIHRvIGFjdHVhbGx5 IG5lZ2F0ZSB0aGUgaWRlbnRpZmljYXRpb24gb2YgdHdvIGRpZmZlcmVudGx5LXRhZ2dlZCB0eXBl cy4gTmVnYXRpb24gaXMgbm90IHRoZSBzYW1lIHRoaW5nIGFzIGZhaWx1cmUuCgpCZXN0LApKb24K Cgo+IE9uIEphbiAyOCwgMjAyNCwgYXQgNjo1MuKAr1BNLCBUaG9yc3RlbiBBbHRlbmtpcmNoIDxU aG9yc3Rlbi5BbHRlbmtpcmNoQG5vdHRpbmdoYW0uYWMudWs+IHdyb3RlOgo+IAo+IEhpLAo+ICAK PiBUaGlzIGRvZXNu4oCZdCBtYWtlIHNlbnNlIHRvIG1lOiBkYXRhdHlwZXMgYXJlIG5vdCBhYnN0 cmFjdCB0eXBlcyBoZW5jZSB3aHkgc2hvdWxkIHRoZXkg4oCcdHJlYXRlZOKAnSBhcyBzdWNoPwo+ ICAKPiBGcm9tIGEgc2VtYW50aWMgcG9pbnQgb2YgdmlldyBhbGwgdGhhdCB3ZSBzaG91bGQgYmUg YWJsZSB0byBvYnNlcnZlIG9mIGEgZGF0YXR5cGUgaXMgaXRzIGlzb21vcnBoaXNtIGNsYXNzLiBO b3cgaW4gYXBwbGljYXRpb25zIHdlIHdhbnQgdG8gZGlzdGluZ3Vpc2ggZGlmZmVyZW50IHVzZXMg b2YgYSBkYXRhdHlwZSwgZS5nLiBhbiBpbnRlZ2VyIG1heSByZXByZXNlbnQgYW4gYWdlIG9yIHRo ZSBudW1iZXIgb2YgZWdncy4gVGhpcyBpcyBhIGRpZmZlcmVudCBiZWFzdCBpdCBpcyBhIHR5cGUg dG9nZXRoZXIgd2l0aCBhIHRhZyAob3IgYSBkaW1lbnNpb24pLiBJdCBkb2VzbuKAmXQgc2VlbSBy aWdodCB0byBjb25mdXNlIHRoZSB0d28gdGhpbmdzLgo+ICAKPiBDaGVlcnMsCj4gVGhvcnN0ZW4K PiAgCj4gRnJvbTogVHlwZXMtbGlzdCA8dHlwZXMtbGlzdC1ib3VuY2VzQExJU1RTLlNFQVMuVVBF Tk4uRURVIDxtYWlsdG86dHlwZXMtbGlzdC1ib3VuY2VzQExJU1RTLlNFQVMuVVBFTk4uRURVPj4g b24gYmVoYWxmIG9mIEpvbiBTdGVybGluZyA8am9uQGpvbm1zdGVybGluZy5jb20gPG1haWx0bzpq b25Aam9ubXN0ZXJsaW5nLmNvbT4+Cj4gRGF0ZTogU2F0dXJkYXksIDI3IEphbnVhcnkgMjAyNCBh dCAxNToyNQo+IFRvOiB0eXBlcy1saXN0QExJU1RTLlNFQVMuVVBFTk4uRURVIDxtYWlsdG86dHlw ZXMtbGlzdEBMSVNUUy5TRUFTLlVQRU5OLkVEVT4gPHR5cGVzLWxpc3RATElTVFMuU0VBUy5VUEVO Ti5FRFUgPG1haWx0bzp0eXBlcy1saXN0QExJU1RTLlNFQVMuVVBFTk4uRURVPj4KPiBTdWJqZWN0 OiBSZTogW1RZUEVTXSBhIG5haXZlIHF1ZXN0aW9uIG9uIGRhdGF0eXBlIGRlY2xhcmF0aW9ucwo+ IAo+IFsgVGhlIFR5cGVzIEZvcnVtLCBodHRwOi8vbGlzdHMuc2Vhcy51cGVubi5lZHUvbWFpbG1h bi9saXN0aW5mby90eXBlcy1saXN0IF0KPiAKPiBIaSBHZXJzaG9tLAo+IAo+IFRoaXMgaXMgYSBn b29kIHF1ZXN0aW9uLCBhbmQgb2Z0ZW4gb3Zlcmxvb2tlZC4gQm9iIEhhcnBlciB0YXVnaHQgbWUg dG8gdGhpbmsgb2YgdGhlc2UgdGhpbmdzIGFzIGFic3RyYWN0IHR5cGVzLCBhbmQgSSBhZ3JlZSDi gJQgc28gdGhlIHRoaW5nIHRoYXQgbWFrZXMgdHdvIGRpZmZlcmVudCBkYXRhdHlwZSBkZWNsYXJh dGlvbnMgZGlmZmVyZW50IGlzIHRoZSBleGlzdGluZyBhYnN0cmFjdGlvbiBtZWNoYW5pc20gb2Yg eW91ciBsYW5ndWFnZS4gV2hlbiB5b3UgdGhpbmsgb2YgaXQgdGhpcyB3YXksIHlvdSB0aGluayBv ZiB0aGUgcGF0dGVybi1tYXRjaGluZyBmb3JtcyBhcyBiZWluZyBlbGFib3JhdGVkIHRvIHNvbWUg a2luZHMgb2YgZGVzdHJ1Y3RvcnMgb3IgY29tYmluYXRvcnMg4oCUIHdoaWNoIGFyZSB0aGVtc2Vs dmVzIHBhcnQgb2YgdGhlIGFic3RyYWN0IGludGVyZmFjZSBvZiB0aGUgdHlwZS4KPiAKPiBJIGNh bm5vdCBjb25maXJtIGJlY2F1c2UgSSBkb24ndCByZW1lbWJlciB0aGUgY29kZSwgYnV0IGl0IG1h eSBiZSB0aGF0IHRoZSBUSUxUIGNvbXBpbGVyIGFjdHVhbGx5IHdvcmtlZCB0aGlzIHdheS4gUHJv YmFibHkgQm9iIHdpbGwgaGF2ZSBhIGZyZXNoZXIgcmVjb2xsZWN0aW9uIG9mIHRoaXMuCj4gCj4g QmVzdCwKPiBKb24KPiAKPiAKPiBPbiBGcmksIEphbiAyNiwgMjAyNCwgYXQgMTA6MTggUE0sIEdl cnNob20gQiB3cm90ZToKPiA+IFsgVGhlIFR5cGVzIEZvcnVtLCBodHRwOi8vbGlzdHMuc2Vhcy51 cGVubi5lZHUvbWFpbG1hbi9saXN0aW5mby90eXBlcy1saXN0IF0KPiA+Cj4gPiBJbiB0eXBpY2Fs IHRyZWF0bWVudHMgb2YgbGFuZ3VhZ2VzIHdpdGggcmVjdXJzaXZlIHR5cGVzLCB3ZSBwcmVzZW50 IGEKPiA+IHN5bnRheCB3aXRoIGVpdGhlciBpc29yZWN1cnNpdmUgb3IgZXF1aXJlY3Vyc2l2ZSB0 eXBlcy4gQnV0IHdlIGRvIG5vdAo+ID4gaGF2ZSBhIHN5bnRheCBmb3IgaW50cm9kdWN0aW9uIG9m IHR5cGUgZGVjbGFyYXRpb25zLgo+ID4KPiA+IFRoaXMgaXMgdG8gc2F5IHRoYXQgd2UgYXNzZW1i bGUgdHlwZXMgb3V0IG9mIGNvbnN0cnVjdG9ycyBmb3IgZS5nLiwKPiA+IHBvbHltb3JwaGlzbSwg cmVjdXJzaW9uLCBzdW0sIHByb2R1Y3QsIHVuaXQsIGV4cG9uZW50aWFsIChnaXZlIG9yCj4gPiB0 YWtlKS4KPiA+Cj4gPiBCdXQgd2UgZG8gbm90IGhhdmUgdGhlIGVxdWl2YWxlbnQgb2YgYSAiZGF0 YSIgZGVjbGFyYXRpb24gaW4gSGFza2VsbAo+ID4gdGhhdCBsZXRzIHVzIGV4cGxpY2l0bHkgc2F5 Cj4gPgo+ID4gZGF0YSBCb29sID0gVHJ1ZSB8IEZhbHNlCj4gPgo+ID4gb3IKPiA+Cj4gPiBkYXRh IExpc3QgYSA9IE5pbCB8IENvbnMgYQo+ID4KPiA+IEl0IGlzLCBJIHN1cHBvc2UsIGV4cGVjdGVk IHRoYXQgcmVhZGVycyBvZiB0aGVzZSBwYXBlcnMgY2FuIHRoaW5rCj4gPiB0aHJvdWdoIGhvdyB0 byB0cmFuc2xhdGUgYW55IGdpdmVuIGRhdGEgZGF0YXR5cGVzIGluIGxhbmd1YWdlcyB3aXRoCj4g PiBleHBsaWNpdCBkZWNsYXJhdGlvbiBpbnRvIHRoZSB1bmRlcmx5aW5nIGZpeGVkIHR5cGUgY2Fs Y3VsdXMuCj4gPgo+ID4gSG93ZXZlciwgSSBhbSBjdXJpb3VzIGlmIHRoZXJlIGlzIGFueSByZWZl cmVuY2UgZm9yICpleHBsaWNpdCoKPiA+IHRyZWF0bWVudCBvZiB0aGUgc3ludGF4IGZvciBkYXRh dHlwZSBkZWNsYXJhdGlvbnMgYW5kIHNlbWFudGljCj4gPiBtb2RlbGluZyBvZiBzdWNoPwo+ID4K PiA+IE9uZSByZWFzb24gZm9yIHN1Y2ggd291bGQgYmUgdGhhdCBpbiB0aGUgY2FsY3VsaSBJIGRl c2NyaWJlZCBhYm92ZSwKPiA+IHRoZXJlJ3Mgb2YgY291cnNlIG5vIHdheSB0byBkaXN0aW5ndWlz aCBiZXR3ZWVuIHRoZSBhYm92ZSBgZGF0YSBCb29sYAo+ID4gYW5kIGUuZy4gYDEgKyAxYCwgd2hp bGUgaXQgbWlnaHQgYmUgZGVzaXJhYmxlIHRvIG1haW50YWluIHRoYXQgc3RyaWN0Cj4gPiBkaXN0 aW5jdGlvbiBiZXR3ZWVuIGFjdHVhbCBlcXVhbGl0eSBhbmQgbWVyZWx5IG9ic2VydmFibGUgaXNv bW9ycGhpc20uCj4gPgo+ID4gVGhhbmtzLAo+ID4gR2Vyc2hvbQo+IFRoaXMgbWVzc2FnZSBhbmQg YW55IGF0dGFjaG1lbnQgYXJlIGludGVuZGVkIHNvbGVseSBmb3IgdGhlIGFkZHJlc3NlZSBhbmQg bWF5IGNvbnRhaW4gY29uZmlkZW50aWFsIGluZm9ybWF0aW9uLiBJZiB5b3UgaGF2ZSByZWNlaXZl ZCB0aGlzIG1lc3NhZ2UgaW4gZXJyb3IsIHBsZWFzZSBjb250YWN0IHRoZSBzZW5kZXIgYW5kIGRl bGV0ZSB0aGUgZW1haWwgYW5kIGF0dGFjaG1lbnQuIEFueSB2aWV3cyBvciBvcGluaW9ucyBleHBy ZXNzZWQgYnkgdGhlIGF1dGhvciBvZiB0aGlzIGVtYWlsIGRvIG5vdCBuZWNlc3NhcmlseSByZWZs ZWN0IHRoZSB2aWV3cyBvZiB0aGUgVW5pdmVyc2l0eSBvZiBOb3R0aW5naGFtLiBFbWFpbCBjb21t dW5pY2F0aW9ucyB3aXRoIHRoZSBVbml2ZXJzaXR5IG9mIE5vdHRpbmdoYW0gbWF5IGJlIG1vbml0 b3JlZCB3aGVyZSBwZXJtaXR0ZWQgYnkgbGF3LgoK