VDM-10 Language Manual

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$Course Material\Efficiently Coding Communication Protocols in C++ ...$

VDM-10 Language Manual thb precedence level arithmetic set map sequence 1 + - union \ munion ++ ˆ 2 * / inter rem mod div 3 inverse 4 6 (unary) + card dom len (unary) - power rng elems abs dinter merge hd tl floor dunion conc inds Table C.1: Operator precedence precedence level relation 1 = > = subset psubset in set not in set All operators in the Relations family have equal precedence. Typing dictates that there is no meaningful way of using them adjacently. C.5 The Family of Connectives This family includes all the logical operators whose result is of type bool. connective = logical prefix operator | logical infix operator ; logical prefix operator = ‘not’ ; logical infix operator = ‘and’ | ‘or’ | ‘=>’ | ‘’ ; 208
Appendix C. Operator Precedence precedence level connective 1 2 => 3 or 4 and 5 not C.6 The Family of Constructors This family includes all the operators used to construct a value. Their priority is given either by brackets, which are an implicit part of the operator, or by the syntax. C.7 Grouping The grouping of operands of the binary operators are as follows: Combinators: Right grouping. Applicators: Left grouping. Connectives: The ‘=>’ operator has right grouping. The other operators are associative and therefore right and left grouping are equivalent. Evaluators: Left grouping 1 . Relations: No grouping, as it has no meaning. Constructors: No grouping, as it has no meaning. C.8 The Type Operators Type operators have their own separate precedence ordering, as follows: 1. Function types: ->, +> (right grouping). 2. Union type: | (left grouping). 3. Other binary type operators: * (no grouping). 4. Map types: map . . . to . . . and inmap . . . to . . . (right grouping). 5. Unary type operators: seq of, seq1 of, set of. 1 Except the “map domain restrict to” and the “map domain restrict by” operators which have a right grouping. This is not standard. 209
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Overture - Open-source Tools for Fo
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Contents 1 Introduction 1 1.1 The V
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CONTENTS 13 Statements 97 13.1 Let
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CONTENTS A.7.19 The Undefined Expre
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Chapter 1 Introduction The Vienna D
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Chapter 2 Concrete Syntax Notation
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Chapter 3 Data Type Definitions As
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Chapter 3. Data Type Definitions We
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Chapter 3. Data Type Definitions Op
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Chapter 3. Data Type Definitions (a
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Chapter 3. Data Type Definitions
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Chapter 3. Data Type Definitions m1
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Chapter 3. Data Type Definitions Sy
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Chapter 3. Data Type Definitions Th
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Chapter 3. Data Type Definitions to
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Chapter 4 Algorithm Definitions In
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Chapter 5 Function Definitions In t
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Chapter 5. Function Definitions Not
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Chapter 5. Function Definitions Thi
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Chapter 6 Expressions In this subse
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Chapter 6. Expressions ✡✝ mk_Sc
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Chapter 6. Expressions Examples: Th
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Chapter 6. Expressions where e1 is
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Chapter 6. Expressions all expressi
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Chapter 6. Expressions where bd is
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Chapter 6. Expressions 6.8 Sequence
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Chapter 6. Expressions where all th
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Chapter 6. Expressions mu operator.
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Chapter 6. Expressions new expressi
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Chapter 6. Expressions Examples: Us
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Chapter 6. Expressions which will r
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Chapter 6. Expressions Examples: As
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Chapter 6. Expressions • #active(
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Chapter 6. Expressions ✞ state si
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Chapter 6. Expressions Semantics: A
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Chapter 7 Patterns Syntax: pattern
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Chapter 7. Patterns In the followin
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Chapter 7. Patterns ✡✝ ✆ The
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Chapter 8 Bindings Syntax: bind = s
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Chapter 9 Value (Constant) Definiti
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Chapter 10 Instance Variables (VDM+
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Chapter 11 The State Definition (VD
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Chapter 11. The State Definition (V
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Chapter 12 Operation Definitions Op
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Chapter 12. Operation Definitions s
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Chapter 12. Operation Definitions p
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Chapter 12. Operation Definitions h
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Chapter 13 Statements In this secti
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Chapter 13. Statements ✡✝ def t
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Chapter 13. Statements block return
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Chapter 13. Statements Examples: Th
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Chapter 13. Statements elseif state
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Chapter 13. Statements ‘do’, st
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Chapter 13. Statements 13.7 The Whi
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Chapter 13. Statements ✡✝ (dcl
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Chapter 13. Statements ✞ ✡✝ R
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Chapter 13. Statements where expres
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Chapter 13. Statements result of th
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Chapter 13. Statements ✡✝ else
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Chapter 13. Statements ✞ bootSequ
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Chapter 13. Statements ✞ op1 : na
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Chapter 14 Top-level Specification
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Chapter 14. Top-level Specification
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Chapter 15 Synchronization Constrai
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Chapter 15. Synchronization Constra
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Chapter 16 Threads (VDM++ and VDM-R
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Chapter 16. Threads (VDM++ and VDM-
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Chapter 16. Threads (VDM++ and VDM-
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Chapter 17 Top-level Specification
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Page 169 and 170: Chapter 18 Trace Definitions In ord
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Page 173 and 174: Chapter 19 Static Semantics VDM spe
Page 175 and 176: Chapter 20 Scope Conflicts (VDM++ a
Page 177 and 178: References [Ada LRM] [Bicarregui&94
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Page 181 and 182: Appendix A The Syntax of the VDM La
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Page 207 and 208: Appendix B Lexical Specification B.
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Page 211 and 212: Appendix B. Lexical Specification S
Page 213 and 214: Appendix C Operator Precedence The
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Page 219 and 220: Appendix D Differences between the
Page 221 and 222: Index abs, 9 and, 6 card, 14 comp f
Page 223 and 224: INDEX arithmetic minus, 185 arithme
Page 225 and 226: INDEX boolean type, 6 char, 11 func
Page 227 and 228: INDEX sequence enumeration, 53, 187
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VDM-10 Language Manual

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