An implementation is now found here with documentation and examples.

The name is admittedly a bit of mischief: I am Holmes, I already have a prover called Watson, and my son suggested that I call this one Lestrade...

Here is the source for the implementation in Moscow ML 2.01 of the Lestrade Type Inspector. As of 10/14/2017 this differs by one character from a LaTex document here (literate programming attempted): the idea is that I can maintain a readably commented source in this way.

It is no longer necessary to contain different versions for different flavors of ML: there is a preamble which one can modify to run Lestrade under PolyML or Moscow ML 2.10.
The latest update streamlines the behavior of the rewrite commands; if any old scripts
have the old rewrite command format, the version `lestrade-9-17-17.sml` still understands the old forms.

Here is my scratch work as I read through Mike Nahas's Coq tutorial and prove analogous things under Lestrade.

Here is a paper I am working on in summer 2016, containing an outline of the philosophical approach, an account of the commands and the formal language of Lestrade, and extensive sample Lestrade books. **This is the best current approximation to a manual**

Here are the slides (slightly improved) for the talk I gave to the Boise State logic seminar Oct 24 2017. Here is an older set of slides (misleadingly also dated Oct 24 due to the date function of LaTeX).

Here is a paper I am working on in fall 2017, simultaneously an account of Lestrade and a treatment of foundational topics; it is another pass at the aims of the paper just below, and discusses new additions to the capabilities of Lestrade.

Here is a paper I am working on in summer 2017, simultaneously an account of Lestrade and a treatment of foundational topics.

Here is a paper I am working on in fall 2017, outlining implementation of homotopy type theory under Lestrade. I'm not finished with this by any means, it is rather tricky.

Here is an axiomatization of ZFC in Lestrade. Not of much interest until I prove something with it!

Here is a paper I am working on in fall 2017, exhibiting the rewriting capabilities, and the ability to use rewrite rules provably valid in a theory to implement programming behavior: the file is intended to support computation of Fibonacci numbers (thus the name) but at the moment supports a fully implemented adder for binary numerals on top of a simple theory of arithmetic: all of its computations are theorems. The `rewrited` command, not witnessed so far in other files, is used extensively in this one.

Here is another paper I am working on in summer 2016, focussed more narrowly on the philosophical approach.

And here is another paper I am working on in fall 2016, which pretends to be an initial segment of an elementary discrete math test supported by Lestrade text.

Here is the source for the implementation in Moscow ML 2.01 of a version of Lestrade without the new type inference capabilities, which I will continue to maintain. I'll leave this up, but maintenance of it is suspended: the main version now supports a command basic() which will give this behavior, and fullversion() to restore type inference functions.

Here are the slides for a talk I am giving locally on October 25th 2016. Here is the supporting Lestrade script file.

Here is an old manual (which I updated for a while but which doesn't have the latest changes; it does not say everything that the paper designated as the manual above says, but it has a different emphasis and I think it might still be useful).

- russell.lti is a self-contained implementation of Russell's paradox. Needless to say, there are
**assumptions**which lead to the paradox; the logic of Automath itself is consistent. - landau_axioms.lti is my ongoing implementation of Landau's Foundations of Analysis (following in the footsteps of the original Automath project). I'm currently in the middle of proposition 4. This is not a polished production; I am hacking as I go. It will get cleaned up later! [This is a stalled project from summer 2015, but I have made a little progress on it recently].
- summer2016book.lti is a new set of declarations I am working on in summer 2016. This includes general logic and now basic declarations for natural numbers and the simple typed theory of sets.
- rewrites.lti is a new set of declarations I am working on in summer 2016. This is to be run with the new version of Lestrade with rewriting, and exhibits elementary examples of rewrite rule programming, similar in style to that found in Watson. I want to develop examples where rewrite rules are demonstrated on the basis of proofs rather than introduced by fiat, but the rewrite construction command is a perfectly reasonable way to introduce an equational axiom -- if one is willing for it always to be applied as a simplification.
- auto37.lti is another new summer 2016 file I am working on: I am translating file
37 in the Automath archive from Automath to Lestrade, which is quite instructive (for me at any rate).
- autoi37.lti is the auto37 translation as far as it goes, making full use of the implicit arguments feature.
- implicittest.lti contains some examples of implicit argument inference.
- maclane.lti contains a set of declarations for Mac Lane set theory (somewhat modified). >maclanetest.lti has a few more test declarations I am working on which motivated recent upgrades of implicit argument inference.
- geometry.lti contains a set of declarations for Euclidean plane geometry (in a very preliminary state).
- discretemath.lti contains the declarations supporting the purported discrete math text.
- pocket.lti contains the basic declarations for "pocket set theory"; before reading it, you need to read discretemath, which it imports.
- logicpackage.lti is a new logic file that I'm working on which is intended for use as a module via the import command: once it is ready I'll try eliminating logical preambles from some other files.

Here is Freek
Wiedijk's Automath site, including the only currently available
implementation of standard Automath (as far as I know). What I present
here is **not** standard Automath!

Here is the official Automath archive site.