[Hol-info] The HOL family, HOL Light, Q0, and type abstraction

2016-10-23 Thread Ken Kubota
Hi John, Cris, Mark, Rob, and Roger, Before going into the details of John's e-mail on the motivation for HOL Light, from which I included a larger passage, let me reply to the other comments concerning the overview at http://dx.doi.org/10./100.111 The following paragraph was added (plus a

Re: [Hol-info] The HOL family, HOL Light, Q0, and type abstraction

2016-10-23 Thread John . Harrison
Hi Ken, | John's e-mail on the motivation for HOL Light and his comparison with | Andrews' systems is highly interesting. I would suggest an article "On the | Logical Foundations of HOL Light" or similar to make the information | persistent, as the policy of the mailing list provider may change. F

Re: [Hol-info] [isabelle] definability of new types (HOL), overloaded constant definitions for axiomatic type classes (Isabelle) - Re: Who is ProofPower "by" (and STT)?

2016-10-23 Thread Rob Arthan
Andrei, > On 23 Oct 2016, at 14:31, Andrei Popescu wrote: > > Hi Rob, > > >> It’s the other way round. Soundness implies that proof-theoretic > >> conservativity implies model-theoretic conservativity. > > Ondra's statement was the correct one. > > Let's spell this out, to make sure we are

Re: [Hol-info] Error Loading Theory in HOL Light

2016-10-23 Thread Petros Papapanagiotou
Hello both, This may be anecdotal, but I am checkpointing HOL Light with dmtcp 1.2.8 on Ubuntu 16.04.1 and Scientific Linux 6 with no visible problems. (Haven't managed to make later versions of dmtcp work though.) Having said that, I would agree a virtual machine is in principle the better, mo

[Hol-info] Conditions under which model-theoretic conservativity entails proof-theoretic conservativity

2016-10-23 Thread Roger Bishop Jones
Andrei, Here is an "interesting sufficient condition" for model-theoretc conservativity to entail proof-theoretic conservativity, particularly relevant to the present discussion: If in T there is a theorem asserting that an extension is model-theoretically conservative, in the form required

Re: [Hol-info] [isabelle] definability of new types (HOL), overloaded constant definitions for axiomatic type classes (Isabelle) - Re: Who is ProofPower "by" (and STT)?

2016-10-23 Thread Andrei Popescu
Hi Rob, >> It’s the other way round. Soundness implies that proof-theoretic >> conservativity implies model-theoretic conservativity. Ondra's statement was the correct one. Let's spell this out, to make sure we are speaking of the same thing. Say you have a signature Sigma' extending a signatu

[Hol-info] Consercative extension in HOL, some pre-history

2016-10-23 Thread Roger Bishop Jones
While history of these matters is topical, I thought I might describe the origin of this facility and the practical rationale for conservativity at that time. My memory is not completely reliable, so there might be something here which I have misremembered but I think the main features will be g

Re: [Hol-info] [isabelle] definability of new types (HOL), overloaded constant definitions for axiomatic type classes (Isabelle) - Re: Who is ProofPower "by" (and STT)?

2016-10-23 Thread Rob Arthan
Ondrej, > On 22 Oct 2016, at 20:07, Ondřej Kunčar wrote: > > Hi Rob, > you are right that we mention only the plain definitions in HOL and not > the implicit ones, when we compare the definitional mechanism of HOL and > Isabelle/HOL. (If this what you meant; I assume you didn't mean to say >