Re: [TYPES] a naive question on datatype declarations
Gershom B <[email protected]> Mon, 29 Jan 2024 15:34:03 -0500
| Newsgroups | gmane.comp.science.types |
|---|---|
| Message-ID | <CAM8RHpHm-4dzp8kjqs7PYzMncn0tZa_mLuCJgvgVx2fiPRA-Lw@mail.gmail.com> |
WyBUaGUgVHlwZXMgRm9ydW0sIGh0dHA6Ly9saXN0cy5zZWFzLnVwZW5uLmVkdS9tYWlsbWFuL2xp c3RpbmZvL3R5cGVzLWxpc3QgXQoKVGhhbmtzIGFsbCBmb3IgdGhlIGdyZWF0IHJlc3BvbnNlcy4K CkknbGwgZ2l2ZSBhIGJpdCBtb3JlIGNvbnRleHQgd2hhdCB3ZSdyZSBkb2luZyBhbmQgd2hhdCBJ J20gbG9va2luZwpmb3IsIHRob3VnaCBqdWRnaW5nIGZyb20gdGhlIHJlc3BvbnNlcyB0aHVzIGZh ciBJIGRvbid0IHRoaW5rIGl0CmN1cnJlbnRseSBleGlzdHMuCgpXZSBoYXZlIGEgc3lzdGVtIHdp dGggdGhlIHVzdWFsIHR5cGUtZm9ybWVycyBhbmQgYWxzbyBpc28tcmVjdXJzaXZlCnR5cGVzIChh bmQgb2YgY291cnNlIHNvbWUgbm92ZWwgZmVhdHVyZXMpLCBhbmQgYSBtb2RlbCB0aGF0IHNob3dz IHRoZQpzb3VuZG5lc3Mgb2YgdGhpcyBzeXN0ZW0sIGV0Yy4gTm93LCB3aGF0IHdvdWxkIGJlIGdy ZWF0IGlzIGlmIHRoZXJlIGlzCmEgcmVzdWx0IHRoYXQgbGV0cyB1cyBzYXkgImZvciBzdWNoIGEg c3lzdGVtLCB0aGVyZSBhIHJlbGF0ZWQgc3lzdGVtCnRoYXQgYWxzbyBoYXMgZXhwbGljaXQgcmVj dXJzaXZlIGRhdGF0eXBlIGRlY2xhcmF0aW9ucyBvZiB0aGUgZm9ybSBvZgpNTCBvciBIYXNrZWxs OTggW2V0Y10sIGFuZCB0aGVyZSBpcyBhIHNpbXBsZSB0cmFuc2xhdGlvbiBzdWNoIHRoYXQKcmVz dWx0cyBkb25lIHdpdGggaXNvLXJlY3Vyc2l2ZSB0eXBlcyBsaWZ0IGVhc2lseSBpbnRvIHRoZSBz eXN0ZW0gd2l0aApleHBsaWNpdCBkYXRhdHlwZXMgZGVjbGFyYXRpb25zLiIKCkV4dGVuc2lvbmFs cyAvIG1vZHVsZS1iYXNlZCBhcHByb2FjaGVzIHNlZW0gYSBwb3dlcmZ1bCBhcHByb2FjaCB0byB0 aGUKbW9kZWxpbmcsIGJ1dCBsaWtlbHkgb3ZlcmtpbGwgd2hhdCB3ZSdkIGxpa2UgdG8gYmUgYWJs ZSB0byBzYXksIHdoaWNoCndvdWxkIGxpa2VseSBiZSBhYmxlIHRvIGJlIGRvbmUgbGFyZ2VseSBv biBhIHN5bnRhY3RpYyBsZXZlbC4KClRoYXQgc2FpZCwgaXQgYXBwZWFycyB0aGF0IG1vc3QgcGVv cGxlIGFyZSBjb250ZW50IHRvIHNvcnQgb2YKImhhbmQtd2F2ZSIgdGhhdCBhIHByb29mIGluIGFu IGlzby1yZWN1cnNpdmUgc2V0dGluZyBpcyBlbm91Z2ggdG8gInNheQpzb21ldGhpbmciIChldmVu IGlmIG5vdCBpbiBhIGZvcm1hbCBwcm9vZiBzZW5zZSkgYWJvdXQgc3lzdGVtcyB3aXRoCmV4cGxp Y2l0IGRhdGF0eXBlIGRlY2xhcmF0aW9ucywgYW5kIGdpdmVuIHRoZSBjdXJyZW50IHN0YXRlIG9m CmxpdGVyYXR1cmUsIEkgaG9wZSBhbiBhdWRpZW5jZSB3b3VsZCBmaW5kIHRoYXQgcmVhc29uYWJs ZT8gVGhhdCBpcyB0bwpzYXkgLS0gb3VyIG1vdGl2YXRpb25zIGluIHN0dWR5aW5nIHRoZXNlIHRo aW5ncyByZWxhdGUgdG8gZXhpc3RpbmcKbGFuZ3VhZ2VzIGFuZCBpbXBsZW1lbnRhdGlvbnMgLS0g YW5kIGluIHRob3NlLCB3ZSB1c2UgZXhwbGljaXQKZGF0YXR5cGUgZGVjbGFyYXRpb25zLiBTbyBv bmUgaG9wZXMgdGhhdCBsaW1pdGluZyBvdXJzZWx2ZXMgdG8gaW5zdGVhZAppc28tcmVjdXJzaXZl IHR5cGVzIGRvZXMgbm90IHVuZGVyY3V0IHRoaXMgbW90aXZhdGlvbiB0b28gZHJhc3RpY2FsbHku CgpCZXN0LApHZXJzaG9tCgoKCk9uIFN1biwgSmFuIDI4LCAyMDI0IGF0IDE6MTLigK9QTSBTYW5k cm8gU3R1Y2tpIDxzYW5kcm8uc3R1Y2tpQGdtYWlsLmNvbT4gd3JvdGU6Cj4KPiBIaSBHZXJzaG9t LAo+Cj4gVGhhdCdzIG5vdCBhIG5haXZlIHF1ZXN0aW9uIGF0IGFsbCwgaW4gbXkgb3Bpbmlvbi4g Oi0pCj4KPiBJbiBhZGRpdGlvbiB0byB0aGUgbWFueSB1c2VmdWwgYW5zd2VycyBwcm92aWRlZCBi eSBvdGhlcnMsIEkgd2FudGVkIHRvCj4gbWVudGlvbiBDaHJpc3RvcGhlciBTdG9uZSdzIENoYXB0 ZXIgb24gIlR5cGUgRGVmaW5pdGlvbnMiIChDaGFwdGVyIDkpCj4gaW4gQWR2YW5jZWQgVG9waWNz IGluIFR5cGVzIGFuZCBQcm9ncmFtbWluZyBMYW5ndWFnZXMgKEFUQVBMKS4gSXQKPiBkZXNjcmli ZXMgYSBudW1iZXIgb2YgZGlmZmVyZW50IGFwcHJvYWNoZXMgZm9yIGFkZGluZyB0eXBlIGRlZmlu aXRpb25zCj4gaW4gYW4gRi1vbWVnYS1zdHlsZSB0eXBlIHN5c3RlbSwgd2l0aCBjYWxjdWxpIHRv IGlsbHVzdHJhdGUgdGhlbSBhbmQgYQo+IGRpc2N1c3Npb24gb2YgdGhlIG1ldGEtdGhlb3JldGlj IGlzc3VlcywgVEFQTC1zdHlsZS4gSSBmb3VuZCBpdCB2ZXJ5Cj4gdXNlZnVsIHdoZW4gSSBzdGFy dGVkIHRvIGxlYXJuIGFib3V0IHRoaXMgdG9waWMgZm9yIG15IG93biByZXNlYXJjaC4KPgo+IENo ZWVycywKPiBTYW5kcm8KPgo+Cj4gT24gU2F0LCBKYW4gMjcsIDIwMjQgYXQgMzozNOKAr0FNIEdl cnNob20gQiA8Z2Vyc2hvbWJAZ21haWwuY29tPiB3cm90ZToKPiA+Cj4gPiBbIFRoZSBUeXBlcyBG b3J1bSwgaHR0cDovL2xpc3RzLnNlYXMudXBlbm4uZWR1L21haWxtYW4vbGlzdGluZm8vdHlwZXMt bGlzdCBdCj4gPgo+ID4gSW4gdHlwaWNhbCB0cmVhdG1lbnRzIG9mIGxhbmd1YWdlcyB3aXRoIHJl Y3Vyc2l2ZSB0eXBlcywgd2UgcHJlc2VudCBhCj4gPiBzeW50YXggd2l0aCBlaXRoZXIgaXNvcmVj dXJzaXZlIG9yIGVxdWlyZWN1cnNpdmUgdHlwZXMuIEJ1dCB3ZSBkbyBub3QKPiA+IGhhdmUgYSBz eW50YXggZm9yIGludHJvZHVjdGlvbiBvZiB0eXBlIGRlY2xhcmF0aW9ucy4KPiA+Cj4gPiBUaGlz IGlzIHRvIHNheSB0aGF0IHdlIGFzc2VtYmxlIHR5cGVzIG91dCBvZiBjb25zdHJ1Y3RvcnMgZm9y IGUuZy4sCj4gPiBwb2x5bW9ycGhpc20sIHJlY3Vyc2lvbiwgc3VtLCBwcm9kdWN0LCB1bml0LCBl eHBvbmVudGlhbCAoZ2l2ZSBvcgo+ID4gdGFrZSkuCj4gPgo+ID4gQnV0IHdlIGRvIG5vdCBoYXZl IHRoZSBlcXVpdmFsZW50IG9mIGEgImRhdGEiIGRlY2xhcmF0aW9uIGluIEhhc2tlbGwKPiA+IHRo YXQgbGV0cyB1cyBleHBsaWNpdGx5IHNheQo+ID4KPiA+IGRhdGEgQm9vbCA9IFRydWUgfCBGYWxz ZQo+ID4KPiA+IG9yCj4gPgo+ID4gZGF0YSBMaXN0IGEgPSBOaWwgfCBDb25zIGEKPiA+Cj4gPiBJ dCBpcywgSSBzdXBwb3NlLCBleHBlY3RlZCB0aGF0IHJlYWRlcnMgb2YgdGhlc2UgcGFwZXJzIGNh biB0aGluawo+ID4gdGhyb3VnaCBob3cgdG8gdHJhbnNsYXRlIGFueSBnaXZlbiBkYXRhIGRhdGF0 eXBlcyBpbiBsYW5ndWFnZXMgd2l0aAo+ID4gZXhwbGljaXQgZGVjbGFyYXRpb24gaW50byB0aGUg dW5kZXJseWluZyBmaXhlZCB0eXBlIGNhbGN1bHVzLgo+ID4KPiA+IEhvd2V2ZXIsIEkgYW0gY3Vy aW91cyBpZiB0aGVyZSBpcyBhbnkgcmVmZXJlbmNlIGZvciAqZXhwbGljaXQqCj4gPiB0cmVhdG1l bnQgb2YgdGhlIHN5bnRheCBmb3IgZGF0YXR5cGUgZGVjbGFyYXRpb25zIGFuZCBzZW1hbnRpYwo+ ID4gbW9kZWxpbmcgb2Ygc3VjaD8KPiA+Cj4gPiBPbmUgcmVhc29uIGZvciBzdWNoIHdvdWxkIGJl IHRoYXQgaW4gdGhlIGNhbGN1bGkgSSBkZXNjcmliZWQgYWJvdmUsCj4gPiB0aGVyZSdzIG9mIGNv dXJzZSBubyB3YXkgdG8gZGlzdGluZ3Vpc2ggYmV0d2VlbiB0aGUgYWJvdmUgYGRhdGEgQm9vbGAK PiA+IGFuZCBlLmcuIGAxICsgMWAsIHdoaWxlIGl0IG1pZ2h0IGJlIGRlc2lyYWJsZSB0byBtYWlu dGFpbiB0aGF0IHN0cmljdAo+ID4gZGlzdGluY3Rpb24gYmV0d2VlbiBhY3R1YWwgZXF1YWxpdHkg YW5kIG1lcmVseSBvYnNlcnZhYmxlIGlzb21vcnBoaXNtLgo+ID4KPiA+IFRoYW5rcywKPiA+IEdl cnNob20K