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2.3 Axioms

      AXIOM-ITEMS ::= axiom-items AXIOM+     
      AXIOM       ::= FORMULA

A list AXIOM-ITEMS of axioms is written:

axioms F1; ... Fn;

Each well-formed axiom determines a sentence of the underlying basic specification (closed by universal quantification over all declared variables).

      FORMULA ::= QUANTIFICATION | CONJUNCTION | DISJUNCTION 
                | IMPLICATION | EQUIVALENCE | NEGATION | ATOM

A formula is constructed from atomic formulae of the form ATOM using quantification and the usual logical connectives.

Keywords in formulae and terms are displayed in the same font as identifiers.

  • 2.3.1 Quantifications
  • 2.3.2 Logical Connectives
  • 2.3.2.1 Conjunction
  • 2.3.2.2 Disjunction
  • 2.3.2.3 Implication
  • 2.3.2.4 Equivalence
  • 2.3.2.5 Negation
  • 2.3.3 Atomic Formulae
  • 2.3.3.1 Truth
  • 2.3.3.2 Predicate Application
  • 2.3.3.3 Definedness
  • 2.3.3.4 Equations
  • 2.3.4 Terms
  • 2.3.4.1 Identifiers
  • 2.3.4.2 Qualified Variables
  • 2.3.4.3 Operation Application
  • 2.3.4.4 Sorted Terms
  • 2.3.4.5 Conditional Terms

  • CoFI Document: CASL/Summary -- Version: 1.0 -- 22 July 1999.
    Comments to cofi-language@brics.dk

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