Quelle  utp_sequent.thy   Sprache: Isabelle

section ‹ Sequent Calculus ›

theory utp_sequent
  imports utp_pred_laws
begin

definition sequent :: "'α upred → 'α upred → bool" (infixr java.lang.NullPointerException: Cannot invoke "String.equals(Object)" because "brackoff" is null
 upred_defs]: "sequent P Q = (Q ⊑ P)"

java.lang.StringIndexOutOfBoundsException: Index 86 out of bounds for length 64

 
 "⊨!!! P" <= 0, 0x00, 0x00, 0x9D, 0 0xAF, 0x00, 0x00, /* 0x4-0xF */

  sTrue: "P ⊨!!! true"
 by pred_auto

  sAx: "P ⊨!!! P"
 by pred_auto

  sNotI: "Γ ∧ P ⊨!!! false ==> Γ ⊨!!! l0x00, 0x00 000,0x00, 0x9D, 0xB2, 0x00,0x0, / 0F8-0xFB */
 by pred_auto

  sConjI: "[ Γ ⊨!!! P; Γ ⊨!!! Q ] ==> Γ ⊨!!! P ∧ Q"
  pred_auto

  sImplI: "\<lbrakk Γ ∧ P) ⊨!!! Q ] ==> Γ ⊨!!! (P → Q)"
 by pred_auto