The relationship between grammar type and language type
8.6.5 The relationship between grammar type and language type
It should be clear from the above that type 3 grammars are a subset of type 2 grammars, which themselves form a subset of type 1 grammars, which in turn form a subset of type 0 grammars see Figure 8.7. A language LG is said to be of type k if it can be generated by a type k grammar. Thus, for example, a language is said to be context-free if a context-free grammar may be used to define it. Note that if a non context- free definition is given for a particular language, it does not necessarily imply that the language is not context-free - there may be an alternative possibly yet-to-be-discovered context-free grammar that describes it. Similarly, the fact that a language can, for example, most easily be described by a context-free grammar does not necessarily preclude our being able to find an equivalent regular grammar. As it happens, grammars for modern programming languages are usually largely context-free, with some unavoidable context-sensitive features, which are usually handled with a few extra ad hoc rules and by using so- called attribute grammars, rather than by engaging on the far more difficult task of finding suitable context- sensitive grammars. Among these features are the following: The declaration of a variable must precede its use. The number of formal and actual parameters in a procedure call must be the same. The number of index expressions or fields in a variable designator must match the number specified in its declaration. Exercises 8.19 Develop a grammar for describing scanf or printf statements in C. Can this be done in a context-free way, or do you need to introduce context-sensitivity? 8.20 Develop a grammar for describing Fortran FORMAT statements. Can this be done in a context-free way, or do you need to introduce context-sensitivity? Further reading The material in this chapter is very standard, and good treatments of it can be found in many books. The keen reader might do well to look at the alternative presentation in the books by Gough 1988, Watson 1989, Rechenberg and Mössenböck 1989, Watt 1991, Pittman and Peters 1992, Aho, Sethi and Ullman 1986, or Tremblay and Sorenson 1985. The last three references are considerably more rigorous than the others, drawing several fine points which we have glossed over, but are still quite readable.8.7 Case study - Clang
Parts
» compilers and compiler generators 1996
» Objectives compilers and compiler generators 1996
» Systems programs and translators
» The relationship between high-level languages and translators
» T-diagrams Classes of translator
» Phases in translation compilers and compiler generators 1996
» Multi-stage translators compilers and compiler generators 1996
» Interpreters, interpretive compilers, and emulators
» Using a high-level host language Porting a high level translator
» Bootstrapping Self-compiling compilers compilers and compiler generators 1996
» The half bootstrap compilers and compiler generators 1996
» Bootstrapping from a portable interpretive compiler A P-code assembler
» Simple machine architecture compilers and compiler generators 1996
» Addressing modes compilers and compiler generators 1996
» Machine architecture Case study 1 - A single-accumulator machine
» Instruction set Case study 1 - A single-accumulator machine
» A specimen program Case study 1 - A single-accumulator machine
» An emulator for the single-accumulator machine
» A minimal assembler for the machine
» Machine architecture Case study 2 - a stack-oriented computer
» Instruction set Case study 2 - a stack-oriented computer
» Specimen programs Case study 2 - a stack-oriented computer
» An emulator for the stack machine
» Syntax, semantics, and pragmatics
» Languages, symbols, alphabets and strings Regular expressions
» Grammars and productions compilers and compiler generators 1996
» Classic BNF notation for productions
» Simple examples compilers and compiler generators 1996
» Phrase structure and lexical structure -productions
» Semantic overtones The British Standard for EBNF Lexical and phrase structure emphasis
» One- and two-pass assemblers, and symbol tables
» Source handling Towards the construction of an assembler
» Lexical analysis Towards the construction of an assembler
» Syntax analysis Towards the construction of an assembler
» Symbol table structures The first pass - static semantic analysis
» The second pass - code generation
» Symbol table structures The first pass - analysis and code generation
» Error detection compilers and compiler generators 1996
» Simple expressions as addresses
» Improved symbol table handling - hash tables
» Macro processing facilities compilers and compiler generators 1996
» Conditional assembly compilers and compiler generators 1996
» Relocatable code compilers and compiler generators 1996
» Further projects compilers and compiler generators 1996
» Equivalent grammars Case study - equivalent grammars for describing expressions
» Useless productions and reduced grammars -free grammars
» Ambiguous grammars compilers and compiler generators 1996
» Type 1 Grammars Context-sensitive The Chomsky hierarchy
» The relationship between grammar type and language type
» EBNF description of Clang A sample program
» Context sensitivity Deterministic top-down parsing
» Terminal successors, the FOLLOW function, and LL1 conditions for non -free grammars
» Further observations Restrictions on grammars so as to allow LL1 parsing
» Alternative formulations of the LL1 conditions
» The effect of the LL1 conditions on language design
» Construction of simple recursive descent parsers
» Case studies compilers and compiler generators 1996
» Syntax error detection and recovery
» Construction of simple scanners
» LR parsing compilers and compiler generators 1996
» Automated construction of scanners and parsers
» Embedding semantic actions into syntax rules
» Attribute grammars compilers and compiler generators 1996
» Synthesized and inherited attributes
» Classes of attribute grammars
» Case study - a small student database
» Installation Input file preparation
» Execution Output from CocoR Assembling the generated system
» Case study - a simple adding machine
» Character sets Comments and ignorable characters
» Pragmas User names The scanner interface
» Syntax error recovery Parser specification
» Grammar checks Semantic errors
» Interfacing to support modules The parser interface
» Essentials of the driver program Customizing the driver frame file
» Case study - Understanding C declarations
» Case study - Generating one-address code from expressions
» Case study - Generating one-address code from an AST
» Case study - How do parser generators work?
» Project suggestions compilers and compiler generators 1996
» Overall compiler structure compilers and compiler generators 1996
» A hand-crafted source handler
» A hand-crafted scanner Lexical analysis
» A CocoR generated scanner Efficient keyword recognition
» A hand-crafted parser A CocoR generated parser
» Syntax error handling in hand-crafted parsers
» Error reporting The symbol table handler
» Other aspects of symbol table management - further types
» The code generation interface
» Code generation for a simple stack machine
» Machine tyranny Other aspects of code generation
» Abstract syntax trees as intermediate representations
» Simple optimizations - constant folding
» Simple optimizations - removal of redundant code
» Generation of assembler code
» Source handling, lexical analysis and error reporting Syntax
» The scope and extent of identifiers
» Symbol table support for the scope rules
» Parsing declarations and procedure calls
» Hypothetical machine support for the static link model
» Code generation for the static link model
» Hypothetical machine support for the display model
» Code generation for the display model
» Relative merits of the static link and display models
» Syntax and semantics compilers and compiler generators 1996
» Symbol table support for context-sensitive features
» Actual parameters and stack frames
» Hypothetical stack machine support for parameter passing
» Semantic analysis and code generation in a hand-crafted compiler
» Semantic analysis and code generation in a CocoR generated compiler
» Scope rules Language design issues
» Function return mechanisms Language design issues
» Context sensitivity and LL1 conflict resolution Fundamental concepts
» Parallel processes, exclusion and synchronization
Show more