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src/Pure/morphism.ML

author | wenzelm |

Fri, 18 Mar 2016 16:26:35 +0100 | |

changeset 62663 | bea354f6ff21 |

parent 62505 | 9e2a65912111 |

child 62819 | d3ff367a16a0 |

permissions | -rw-r--r-- |

clarified modules;
tuned signature;

(* Title: Pure/morphism.ML Author: Makarius Abstract morphisms on formal entities. *) infix 1 $> signature BASIC_MORPHISM = sig type morphism type declaration = morphism -> Context.generic -> Context.generic val $> : morphism * morphism -> morphism end signature MORPHISM = sig include BASIC_MORPHISM exception MORPHISM of string * exn val pretty: morphism -> Pretty.T val binding: morphism -> binding -> binding val typ: morphism -> typ -> typ val term: morphism -> term -> term val fact: morphism -> thm list -> thm list val thm: morphism -> thm -> thm val cterm: morphism -> cterm -> cterm val morphism: string -> {binding: (binding -> binding) list, typ: (typ -> typ) list, term: (term -> term) list, fact: (thm list -> thm list) list} -> morphism val binding_morphism: string -> (binding -> binding) -> morphism val typ_morphism: string -> (typ -> typ) -> morphism val term_morphism: string -> (term -> term) -> morphism val fact_morphism: string -> (thm list -> thm list) -> morphism val thm_morphism: string -> (thm -> thm) -> morphism val transfer_morphism: theory -> morphism val trim_context_morphism: morphism val identity: morphism val compose: morphism -> morphism -> morphism val transform: morphism -> (morphism -> 'a) -> morphism -> 'a val form: (morphism -> 'a) -> 'a end; structure Morphism: MORPHISM = struct (* named functions *) type 'a funs = (string * ('a -> 'a)) list; exception MORPHISM of string * exn; fun app (name, f) x = f x handle exn => if Exn.is_interrupt exn then Exn.reraise exn else raise MORPHISM (name, exn); fun apply fs = fold_rev app fs; (* type morphism *) datatype morphism = Morphism of {names: string list, binding: binding funs, typ: typ funs, term: term funs, fact: thm list funs}; type declaration = morphism -> Context.generic -> Context.generic; fun pretty (Morphism {names, ...}) = Pretty.enum ";" "{" "}" (map Pretty.str (rev names)); val _ = PolyML.addPrettyPrinter (fn _ => fn _ => Pretty.to_polyml o pretty); fun binding (Morphism {binding, ...}) = apply binding; fun typ (Morphism {typ, ...}) = apply typ; fun term (Morphism {term, ...}) = apply term; fun fact (Morphism {fact, ...}) = apply fact; val thm = singleton o fact; val cterm = Drule.cterm_rule o thm; fun morphism a {binding, typ, term, fact} = Morphism { names = if a = "" then [] else [a], binding = map (pair a) binding, typ = map (pair a) typ, term = map (pair a) term, fact = map (pair a) fact}; fun binding_morphism a binding = morphism a {binding = [binding], typ = [], term = [], fact = []}; fun typ_morphism a typ = morphism a {binding = [], typ = [typ], term = [], fact = []}; fun term_morphism a term = morphism a {binding = [], typ = [], term = [term], fact = []}; fun fact_morphism a fact = morphism a {binding = [], typ = [], term = [], fact = [fact]}; fun thm_morphism a thm = morphism a {binding = [], typ = [], term = [], fact = [map thm]}; val transfer_morphism = thm_morphism "transfer" o Thm.transfer; val trim_context_morphism = thm_morphism "trim_context" Thm.trim_context; val identity = morphism "" {binding = [], typ = [], term = [], fact = []}; (* morphism combinators *) fun compose (Morphism {names = names1, binding = binding1, typ = typ1, term = term1, fact = fact1}) (Morphism {names = names2, binding = binding2, typ = typ2, term = term2, fact = fact2}) = Morphism { names = names1 @ names2, binding = binding1 @ binding2, typ = typ1 @ typ2, term = term1 @ term2, fact = fact1 @ fact2}; fun phi1 $> phi2 = compose phi2 phi1; fun transform phi f = fn psi => f (phi $> psi); fun form f = f identity; end; structure Basic_Morphism: BASIC_MORPHISM = Morphism; open Basic_Morphism;