# HG changeset patch # User wenzelm # Date 1149265488 -7200 # Node ID 957bcf55c98f2962c029aec75c1d8ee31b5303b0 # Parent 5cd82054c2c696037a40c95dcd27983c97543610 tuned; diff -r 5cd82054c2c6 -r 957bcf55c98f src/CTT/Arith.thy --- a/src/CTT/Arith.thy Fri Jun 02 18:15:38 2006 +0200 +++ b/src/CTT/Arith.thy Fri Jun 02 18:24:48 2006 +0200 @@ -12,27 +12,32 @@ subsection {* Arithmetic operators and their definitions *} -consts - "#+" :: "[i,i]=>i" (infixr 65) - "-" :: "[i,i]=>i" (infixr 65) - "|-|" :: "[i,i]=>i" (infixr 65) - "#*" :: "[i,i]=>i" (infixr 70) - div :: "[i,i]=>i" (infixr 70) - mod :: "[i,i]=>i" (infixr 70) +definition + add :: "[i,i]=>i" (infixr "#+" 65) + "a#+b == rec(a, b, %u v. succ(v))" -syntax (xsymbols) - "op #*" :: "[i, i] => i" (infixr "#\" 70) + diff :: "[i,i]=>i" (infixr "-" 65) + "a-b == rec(b, a, %u v. rec(v, 0, %x y. x))" + + absdiff :: "[i,i]=>i" (infixr "|-|" 65) + "a|-|b == (a-b) #+ (b-a)" + + mult :: "[i,i]=>i" (infixr "#*" 70) + "a#*b == rec(a, 0, %u v. b #+ v)" -syntax (HTML output) - "op #*" :: "[i, i] => i" (infixr "#\" 70) + mod :: "[i,i]=>i" (infixr "mod" 70) + "a mod b == rec(a, 0, %u v. rec(succ(v) |-| b, 0, %x y. succ(v)))" + + div :: "[i,i]=>i" (infixr "div" 70) + "a div b == rec(a, 0, %u v. rec(succ(u) mod b, succ(v), %x y. v))" + -defs - add_def: "a#+b == rec(a, b, %u v. succ(v))" - diff_def: "a-b == rec(b, a, %u v. rec(v, 0, %x y. x))" - absdiff_def: "a|-|b == (a-b) #+ (b-a)" - mult_def: "a#*b == rec(a, 0, %u v. b #+ v)" - mod_def: "a mod b == rec(a, 0, %u v. rec(succ(v) |-| b, 0, %x y. succ(v)))" - div_def: "a div b == rec(a, 0, %u v. rec(succ(u) mod b, succ(v), %x y. v))" +const_syntax (xsymbols) + mult (infixr "#\" 70) + +const_syntax (HTML output) + mult (infixr "#\" 70) + lemmas arith_defs = add_def diff_def absdiff_def mult_def mod_def div_def diff -r 5cd82054c2c6 -r 957bcf55c98f src/CTT/Bool.thy --- a/src/CTT/Bool.thy Fri Jun 02 18:15:38 2006 +0200 +++ b/src/CTT/Bool.thy Fri Jun 02 18:24:48 2006 +0200 @@ -10,7 +10,7 @@ imports CTT begin -constdefs +definition Bool :: "t" "Bool == T+T" diff -r 5cd82054c2c6 -r 957bcf55c98f src/CTT/README.html --- a/src/CTT/README.html Fri Jun 02 18:15:38 2006 +0200 +++ b/src/CTT/README.html Fri Jun 02 18:24:48 2006 +0200 @@ -18,8 +18,8 @@ Useful references on Constructive Type Theory:
    -
  • B. Nordstrm, K. Petersson and J. M. Smith,
    - Programming in Martin-Lf's Type Theory
    +
  • B. Nordström, K. Petersson and J. M. Smith,
    + Programming in Martin-Löf's Type Theory
    (Oxford University Press, 1990)
  • Simon Thompson,