Benjamin Werner explore a type theory that, among other things, might be a first step towards making a proof assistant that's also a more traditional programming environment in On the Strength of Proof-Irrelevant Type Theories, Logical Methods In Computing 2008.
lambda-the-ultimate.org/node/3169
Such interpretations are called proof-irrelevant, since the content of the proof object is not relevant to the interpretation. We can also mention that proof-irrelevance can have some other positive side effects, we try to give a hint in to that respect in the conclusion.
www.pps.jussieu.fr/~miquel/publis/types02.pdf
We extend the proof-irrelevant model defined in Smith (1988) to the whole of Martin-Löf's logical framework. The main difference here is the existence of a type whose objects themselves represent types rather than proof-objects.
portal.acm.org/citation.cfm?id=966837
The author well knows that some of the strongest men in Methodism have specially advocated this doctrine, beginning with its founder, the scholarly Oxonian, and that they used strong and pertinent proof texts, While slurring over these great texts, he finds room to amplify on irrelevant texts to the extent of several pages.
homepage.mac.com/craigadams1/DEFENSE/CHPTR24.html
want to join? register in seconds| ... this post was submitted on 08 Nov 2008 ... On the strength of proof-irrelevant type theories (lmcs-online.org)
www.reddit.com/r/types/comments/7c704/on_the_strength_o... www.reddit.com/r/types/comments/7c704/on_the_strength_of_proofirrelevant_type_theories/
We present a type theory with some proof-irrelevance built into the conversion rule. We argue that this feature is useful when type theory is used as the logical formalism underlying a theorem prover. ... On the strength of proof-irrelevant type theories...
www.lmcs-online.org/ojs/viewarticle.php?id=290&layout=a... www.lmcs-online.org/ojs/viewarticle.php?id=290&layout=abstract
Is irrelevant a real word (please provide proof)? Someone has been watching American Dad. Irrelevant - Unrelated to the matter being considered. ... ... irrelevant adjective not connected with the subject that is being discussed etc; Example: irrelevant comments; Danish: irrelevant; Dutch: irrelevant; Estonian:
www.answerbag.com/q_view/100429
Is irrelevant a real word (please provide proof)? irrelevant = having no connection with the subject being considered. regardless = taking no account of other factors. ... ... irrelevant = having no connection with the subject being considered. regardless = taking no account of other factors. irregardless = a nonsense...
www.answerbag.com/q_view/100429/date_desc
subset-tlca.dvi (PDF File)
In the predicate family double*, the proof of well-formedness is made irrelevant using a proof-irrelevant function space A B, representing functions from A to B that are insensitive to the identity of their argument.
www.cs.cmu.edu/~fp/papers/tlca09.pdf
I used to do this with my personal twitter account (@printedproof). I have since moved all deals, discounts, promotions, and coupons to @printdeals. At the time of writing this I have over 3000 awesome followers and did not want to supply hourly tweets that may be unexpected or irrelevant to them.
printedproof.com/ printedproof.com/