Re: [TYPES] Algorithm W as elaboration into System F
Fritz Henglein <fritz-IzpjTRc13oxWk0Htik3J/[email protected]> Sun, 5 Jul 2026 13:51:43 +0200
| Newsgroups | gmane.comp.science.types |
|---|---|
| Message-ID | <CAD73y9=r6utmcMeh5A=K10EYxq1XUCPemFupxykmhk9VYnxgBw@mail.gmail.com> |
WyBUaGUgVHlwZXMgRm9ydW0sIGh0dHA6Ly9saXN0cy5zZWFzLnVwZW5uLmVkdS9tYWlsbWFuL2xp c3RpbmZvL3R5cGVzLWxpc3QgXQpIaSBSeWFuIC0tCgpJIHJlbWVtYmVyIHdyaXRpbmcgdGhlIHN5 bnRheC1kaXJlY3RlZCB0cmFuc2xhdGlvbiBvZiBBbGdvcml0aG0gVyB0byByYW5rLTIKYm91bmRl ZCBTeXN0ZW0gRiBmb3IgYSBjbGFzcyBpbiAxOTkxLiAgQWxhcywgSSBjYW4gb25seSBmaW5kIGl0 IG5vdyBhcyBhbgpleGVyY2lzZSBpbiB0aGUgaW50cm9kdWN0b3J5IGxlY3R1cmUgbm90ZXMsIG1h ZGUgc2xpZ2h0bHkgbW9yZSBjaGFsbGVuZ2luZwpieSBhc2tpbmcgZm9yIGEgdHJhbnNsYXRpb24g KmFmdGVyKiBjb2RpbmcgbGV0LWV4cHJlc3Npb25zIGFzCmxhbWJkYS1hYnN0cmFjdGlvbnMuICBU aGlzIGlzIGVzc2VudGlhbGx5IHRoZSBTeXN0ZW0gRiByYW5rLTIgZW5jb2Rpbmcgb2YKbGV0LXBv bHltb3JwaGlzbS4gIFRoZSBsZWN0dXJlIG5vdGVzIGFyZSBpbmNsdWRlZCBGWUk7IHNlZSBFeGVy Y2lzZSA4LgoKQmVzdCwKRnJpdHoKClBTOiBJIGFsc28gYWR2aXNlZCBhIHByb2plY3QgQ29xLW1l Y2hhbml6aW5nIG9mIHRoZSBzb3VuZG5lc3MgYW5kCmNvbXBsZXRlbmVzcyBvZiBBbGdvcml0aG0g VyB3cnQuIHRoZSBsZXQtcG9seW1vcnBoaXNtIHR5cGUgc3lzdGVtIGluIHRoYXQKY2xhc3MgaW4g MTk5Mi4gIEkgbmV2ZXIgdHJpZWQgdXNpbmcgQ29xIG15c2VsZiBhZ2FpbiBhZnRlciB0aGF0IGV4 cGVyaWVuY2UKLS0gb2J2aW91c2x5IG15IGJhZC4KClBQUzogV2FybmluZzogQmVnaW5uaW5nIG9m IHJhbWJsaW5nLiAgQSBudW1iZXIgb2YgcGVvcGxlLCBteXNlbGYgaW5jbHVkZWQsCmhhdmUgc3Bl bnQgcXVpdGUgYSBiaXQgb2YgZWZmb3J0IG92ZXIgdGhlIHllYXJzIHRvIGdldCBwZW9wbGUgdG8g bm90CmFjdHVhbGx5ICpsaXRlcmFsbHkqIGltcGxlbWVudCBBbGdvcml0aG0gVy4gIFRoaXMgc3Rh cnRzIHdpdGggTWlsbmVyCmhpbXNlbGYgaW4gaGlzIHNlbWluYWwgSkNTUyAxOTc4IHBhcGVyLCB3 aGVyZSBoZSBkZXNjcmliZXMgQWxnb3JpdGhtIEogaW4KU2VjdGlvbiA0LjMgYXMgYSBwcmFjdGlj YWwgd2F5IHRvIGltcGxlbWVudCBBbGdvcml0aG0gVy4gKCJBcyBpdCBzdGFuZHMsIFcKaXMgaGFy ZGx5IGFuIGVmZmljaWVudCBhbGdvcml0aG0uIFsuLi5dIEl0IHdhcyBmb3JtdWxhdGVkIHRvIGFp ZCB0aGUgcHJvb2YKb2Ygc291bmRuZXNzLiIpLiAgIERhbWFzIGluIDE5ODQgZm9ybXVsYXRlZCBs ZXQtcG9seW1vcnBoaXNtIGluZmVyZW5jZSBieQpzaW1wbGUgdHlwZSBpbmZlcmVuY2UgY29tYmlu ZWQgd2l0aCBsYXp5IHVuZm9sZGluZyBvZiBsZXQtZGVmaW5pdGlvbnMsCndoaWNoIHdhcyBsYXRl ciBzaG93biB0byB3b3JrIHdlbGwgaW4gcHJhY3RpY2UgKG1vbm9tb3JwaGl6YXRpb24sIHBhcGVy cyBpbgp0aGUgbWlkLTkwcywgTUx0b24sIGV0YykuICBIYW5zIExlaXNzIGFuZCBteXNlbGYgKG11 bHRpcGxlIHBhcGVycywgMTk4Ny05MykKc2hvd2VkIHRoYXQgbGV0LXBvbHltb3JwaGlzbSBleHRl bmRlZCB0byBpbmNsdWRlIE15Y3JvZnQncyBwb2x5bW9ycGhpYwpyZWN1cnNpb24sIGNhbiBiZSBj b21wb3NpdGlvbmFsbHkgcmVkdWNlZCB0byBzZW1pLXVuaWZpY2F0aW9uLCBhIGNvbnN0cmFpbnQK c29sdmluZyBwcm9ibGVtIHdpdGggcHJhY3RpY2FsbHkgZmFzdCByZXdyaXRpbmcgb24gcG9pbnRl ci1iYXNlZCBkYXRhCnN0cnVjdHVyZXM7ICBIYW5zJ3MgZ3JvdXAgYnVpbHQgYSBmdWxsIHZlcnNp b24gb2YgU3RhbmRhcmQgTUwgYnkgcmVwbGFjaW5nCnRoZSB0eXBlIGluZmVyZW5jZSBpbiBTTUwv TkogKFRDUyAxOTk5KS4gIE5pa29sYWogQmrDuHJuZXIgKE1MIFdvcmtzaG9wCjE5OTIpICBwcmVz ZW50ZWQgQWxnb3JpdGhtIE0gKHVwc2lkZS1kb3duIFcpIGZvciBpbmZlcnJpbmcgdGhlIGxvY2Fs bHkKKmxlYXN0KiBwb2x5bW9ycGhpYyB0eXBlcyBmb3IgbGV0LWJvdW5kIHZhcmlhYmxlcyB3aGls ZSBtYWludGFpbmluZyB0aGUKbW9zdCBnZW5lcmFsIHR5cGUgZm9yIHRoZSB3aG9sZSAoZ2xvYmFs KSBleHByZXNzaW9uOyBpZiB5b3UgZG8KdHlwZS1kaXJlY3RlZCBjb21waWxhdGlvbiBvciBhbmFs eXNpcyB5b3UnZCByYXRoZXIgaGF2ZSBnIGhhdmUgdHlwZSBpbnQgLT4KaW50IGluIGxldCBnIHgg PSB4IGluIGcgNSArIGcgOCByYXRoZXIgdGhhbiBmb3JhbGwgJ2EuICdhIC0+ICdhLiAgU3RpbGws CjMwKyB5ZWFycyBsYXRlciwgdGhlcmUgc2VlbSB0byBiZSBwYXBlcnMgYW5kIHRvb2xzIHdoZXJl IEFsZ29yaXRobSBXIGlzIG5vdApqdXN0LCBpbiBSb2JpbiBNaWxuZXIncyB3b3JkcywgImZvcm11 bGF0ZWQgdG8gYWlkIHRoZSBwcm9vZiBvZiBzb3VuZG5lc3MiLApidXQgaW1wbGVtZW50ZWQgcXVp dGUgbGl0ZXJhbGx5LiBJZiBpdCB3b3JrcyAod2VsbCBlbm91Z2gpLCBpdCB3b3Jrcy4uLgpJJ20g d29uZGVyaW5nLCB0aG91Z2gsIHdoZXRoZXIgdGhlIGFib3ZlIHJhdGhlciBnZW5lcmFsIGFuZCBy b2J1c3QgKG5vCmZyYWdpbGUgYml0LXR3aWRkbGluZywgY2FjaGUtcGVyZm9ybWFuY2Ugb3B0aW1p emF0aW9ucyBvciBzdWNoKSB0ZWNobmlxdWVzCmZyb20gdGhlIDgwcyBhbmQgOTBzIG1pZ2h0IGJl IHVuZGVydXRpbGl6ZWQuICBFbmQgb2YgcmFtYmxpbmcuCgpPbiBUaHUsIEp1biAyNSwgMjAyNiBh dCA4OjIx4oCvUE0gUnlhbiBXaXNuZXNreSA8d2lzbmVza3lAZ21haWwuY29tPiB3cm90ZToKCj4g WyBUaGUgVHlwZXMgRm9ydW0sIGh0dHA6Ly9saXN0cy5zZWFzLnVwZW5uLmVkdS9tYWlsbWFuL2xp c3RpbmZvL3R5cGVzLWxpc3QgCj4gXQo+IEhpIEFsbCwKPgo+IEnigJltIGJlZW4gdHJ5aW5nIGFu ZCB1bmFibGUgdG8gZmluZCBhIHJlZmVyZW5jZSB0byBhIGZ1bGwgZGVzY3JpcHRpb24gb2YKPiBI aW5kbGV5LU1pbG5lcidzIHR5cGUgaW5mZXJlbmNlIGFsZ29yaXRobSBXIGFzIGEgdHJhbnNsYXRp b24gb2YgdW50eXBlZAo+IGxhbWJkYSBjYWxjdWx1cyBpbnRvIHN5c3RlbSBGIChzbyB0aGF0IGxl dCB0cmFuc2xhdGVzIHRvIGJpZyBsYW1iZGEgZXRjKS4KPiBTdWNoIGEgdHJhbnNsYXRpb24gaXMg bm90IGhhcmQgdG8gZGVmaW5lIC0gSSBmaXJzdCBlbmNvdW50ZXJlZCBpdCBhcyBhbgo+IGV4ZXJj aXNlIGluIE5vcm1hbiBSYW1zZXnigJlzIHRleHRib29rLCBidXQgdW5mb3J0dW5hdGVseSB0aGF0 IHRleHRib29rIGlzIG5vCj4gbG9uZ2VyIGF2YWlsYWJsZSwgbm9yIGRpZCBteSBkaXNjdXNzaW9u cyB3aXRoIE5vcm1hbiB0dXJuIHVwIGEgcmVmZXJlbmNlLgo+IEnigJltIGhvcGluZyBwZW9wbGUg aGVyZSBtaWdodCBiZSBhYmxlIHRvIGhlbHAuICBTb21laG93LCBpbiAyMDEwIGl0IGZlZWxzCj4g bGlrZSB0aGVyZSB3ZXJlIGEgbG90IG1vcmUgZ29vZ2xlIHJlc3VsdHMgb24gdGhpcyBhbmQgbWFu eSBvdGhlciB0eXBlCj4gdGhlb3J5IHRvcGljcyB0aGFuIHRoZXJlIGFyZSBpbiAyMDI2Lgo+Cj4g VGhlcmUgYXJlIG9mIGNvdXJzZSBtYW55IHBhcGVycyBzaG93aW5nIGFuIGVsYWJvcmF0aW9uIGlu dG8gRiBmcm9tIGEgbW9yZQo+IGRlY2xhcmF0aXZlIHBocmFzaW5nIG9mIEhpbmRsZXkgTWlsbmVy LCBiZWNhdXNlIHRob3NlIGFyZSBlYXNpZXIgdG8gd29yawo+IHdpdGggZm9yIG1hbnkgcHVycG9z ZXMgdGhhbiBhbGdvcml0aG0gVywgYnV0IEnigJltIGxvb2tpbmcgZm9yIGEgcmVmZXJlbmNlCj4g Zm9yIFcgc3BlY2lmaWNhbGx5LiAgVGhlIGF0dGFjaGVkIGltYWdlIHNob3dzIHRoZSB0eXBlIHBh cnQgb2YgdGhlIHVudHlwZWQKPiB0byBzeXN0ZW0gRiB0cmFuc2xhdGlvbiwgc28gSeKAmW0ganVz dCBsb29raW5nIGZvciBhIHJlZmVyZW5jZSB0aGF0IHNob3dzCj4gdGhlc2UgcnVsZXMgd2hlcmUg bGV0IGdldCB0cmFuc2xhdGVkIHRvIGJpZyBsYW1iZGEgYW5kIHZhciBnZXRzIHRyYW5zbGF0ZWQK PiB0byB0eXBlIGluc3RhbnRpYXRpb24gZXRjIC0gdGhlIHRlcm0gcGFydCBvZiB0aGUgaW1hZ2Uu Cj4KPiBUaGFua3MsCj4gUnlhbiBXaXNuZXNreQo+Cj4KPgo+Cg==