Stream: Mirror: Isabelle Development Mailing List

Topic: [isabelle-dev] NEWS: ML antiquotation "instantiate"

Email Gateway (Oct 28 2021 at 20:05):

From: Makarius <makarius@sketis.net>
* ML *

• ML antiquotation "instantiate" allows to instantiate formal entities
  (types, terms, theorems) with values given ML. This works uniformly for
  "typ", "term", "prop", "ctyp", "cterm", "cprop", "lemma" --- given as a
  keyword after the instantiation. A mode "(schematic)" behind the keyword
  means that some variables may remain uninstantiated (fixed in the
  specification and schematic in the result); by default, all variables
  need to be instantiated.

Examples in HOL:

fun make_assoc_type (A, B) =
\<^instantiate>‹'a = A and 'b = B in typ ‹('a × 'b) list››;

val make_assoc_list =
map (fn (x, y) =>
\<^instantiate>‹'a = ‹fastype_of x› and 'b = ‹fastype_of y› and
x and y in term ‹(x, y)› for x :: 'a and y :: 'b›);

fun symmetry x y =
\<^instantiate>‹'a = ‹Thm.ctyp_of_cterm x› and x and y in
lemma ‹x = y ⟹ y = x› for x y :: 'a by simp›

fun symmetry_schematic A =
\<^instantiate>‹'a = A in
lemma (schematic) ‹x = y ⟹ y = x› for x y :: 'a by simp›

This refers to Isabelle/54085e37ce4d. Some applications are in the preceeding
changesets.

Proper documentation will follow shortly after Isabelle2021-1-RC1 (start of
next week).

Makarius

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Last updated: Dec 21 2024 at 16:20 UTC