• Home
  • Compilers
  • An Algebraic Approach to Compiler Design by Augusto Sampaio, Amast-Fund

An Algebraic Approach to Compiler Design by Augusto Sampaio, Amast-Fund

By Augusto Sampaio, Amast-Fund

This booklet investigates the layout of compilers for procedural languages, in response to the algebraic legislation which those languages fulfill. the actual technique followed is to minimize an arbitrary resource software to a normal common shape, in a position to representing an arbitrary goal desktop. this can be completed by way of a sequence of ordinary shape relief theorems that are proved algebraically from the extra simple legislation. the conventional shape and the comparable relief theorems can then be instantiated to layout compilers for certain goal machines. This constitutes the most novelty of the author's method of compilation, including the truth that the full approach is formalised inside a unmarried and uniform semantic framework of a procedural language and its algberaic legislation. moreover, through mechanising the process utilizing the OBJ3 time period rewriting process it truly is proven prototype compiler is built as a byproduct of its personal facts of correctness.

Show description

Read Online or Download An Algebraic Approach to Compiler Design PDF

Best compilers books

Computer Algebra with LISP and REDUCE: An Introduction to Computer-aided Pure Mathematics (Mathematics and Its Applications)

One provider arithmetic has rendered the tEL moi, . .. . si j'avait su remark en revenir. je n'y serais element alle'. ' human race. It has placed logic again Jules Verne the place it belongs, at the topmost shelf subsequent to the dusty canister labelled 'discarded non sense', The sequence is divergent; for that reason we could be Eric T.

Modern Compiler Implementation in C, Edition: Rev Exp Su

This new, multiplied textbook describes all levels of a contemporary compiler: lexical research, parsing, summary syntax, semantic activities, intermediate representations, guideline choice through tree matching, dataflow research, graph-coloring check in allocation, and runtime structures. It comprises solid insurance of present ideas in code new release and check in allocation, in addition to useful and object-oriented languages, which are lacking from such a lot books.

The Best of Verity Stob: Highlights of Verity Stob's Famous Columns from .EXE, Dr. Dobb's Journal, and The Register

Verity Stob is the comedienne of the programming global. She has been writing satirical chronicles of techie lifestyles considering the fact that 1988. Her column first seemed within the mythical . EXE journal, then Dr. Dobbs' magazine, and it now graces The sign in. For the 1st time, the superior of Stob's columns were gathered into one crucial publication.

Transactions on Aspect-Oriented Software Development XII (Lecture Notes in Computer Science)

The LNCS magazine Transactions on Aspect-Oriented software program improvement is dedicated to all features of aspect-oriented software program improvement (AOSD) concepts within the context of all levels of the software program existence cycle, from requisites and layout to implementation, upkeep and evolution. the focal point of the magazine is on ways for systematic id, modularization, illustration, and composition of crosscutting issues, i.

Extra info for An Algebraic Approach to Compiler Design

Sample text

An → A) . ) .. 4). A Let us summarize. We now know from the Soundness and the Weak Completeness Theorems that F A ⇔ F A for finite F, in particular that A ⇔ A. This also means that we can view all logical laws (T1)–(T38) considered in Sect. 2 as derivable. For example, the law (T31) can be considered as the derived rule A→B ✸A → ✸B . We will take advantage of this and freely use the laws in subsequent derivations. Example. ✷A → ✸B , B → ❡C ✷A → ❡✷✸C can be derived using (T12), (T13), (T31), and (T35) as follows: (1) (2) (3) (4) (5) (6) (7) ✷A → ✸B B → ❡C ✸B → ✸ ❡C ✸B → ❡✸C ✷A → ❡✸C ✷A → ✷ ❡✸C ✷A → ❡✷✸C assumption assumption (T31),(2) (T13),(prop),(3) (prop),(1),(4) (T35),(5) (T12),(prop),(6) As another example, we derive the rule (chain) A → ✸B , B → ✸C A → ✸C which will be needed later.

For arbitrary K and i ∈ N: Ki (✷A) = tt ⇒ Ki+1 (A) = tt ⇒ Ki+1 (B ) = ff or Ki+1 (B ) = tt and Ki+1 (A) = tt ⇒ K ( ❡B ) = ff or K ( ❡(A ∧ B )) = tt i i ⇒ Ki ( ❡B → ❡(A ∧ B )) = tt. Temporal generalization and particularization laws (T35) (T36) ✷(✷A → B ) → (✷A → ✷B ), ✷(A → ✸B ) → (✸A → ✸B ). Proof of (T35). , Kj (✷A → B ) = tt for every j ≥ i . To prove Ki (✷A → ✷B ) = tt, assume also that Ki (✷A) = tt. This means Kk (A) = tt for every k ≥ i ; hence Kk (A) = tt for every k ≥ j and every j ≥ i and therefore Kj (✷A) = tt for every j ≥ i .

Now choose j ∈ N such that πj ·m+l = Q0 , . . , Qk where k ≥ i ; in particular it follows that ✷Al ∈ neg(Qk ). But the construction of πi+1 ensures that πi+1 , which is a finite prefix of π, ends with some node Q such that A ≡ Al ∈ neg(Q ), and a contradiction is reached. We have thus found a complete path π = Q0 , Q1 , . . in KP . Now we have in fact all means for proving a theorem which is a rather trivial transcription of the desired completeness result. 9 (Satisfiability Theorem for ΣLTL ).

Download PDF sample

Rated 4.13 of 5 – based on 47 votes