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K : A Rewriting Approach to Concurrent Programming Language Design and Semantics PhD Thesis Defense Traian Florin S , erb anut , a University of Illinois at Urbana-Champaign Thesis advisor: Grigore Ros , u Committee members:


  1. K : A Rewriting Approach to Concurrent Programming Language Design and Semantics —PhD Thesis Defense— Traian Florin S , erb˘ anut , ˘ a University of Illinois at Urbana-Champaign Thesis advisor: Grigore Ros , u Committee members: Thomas Ball Darko Marinov José Meseguer Madhusudan Parthasarathy Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 1 / 39

  2. Introduction PhD Thesis Rewriting is a natural environment to formally define the semantics of real-life concurrent programming languages and to test and analyze programs written in those languages. Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 2 / 39

  3. Introduction Motivation: pervasive computing Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 3 / 39

  4. Introduction Challenges in PL design and analysis PLs need to be designed, updated, and extended C# and CIL; new Java memory model, Scheme R6RS, C1X Concurrency must become the norm “External” non-determinism makes traditional testing difficult Concurrency and communication (scheduler specific) Under-specification for optimization purposes (compiler specific) Executable formal definitions can help Design and maintain mathematical definitions of languages Easily test and analyze language updates or extensions Explore and/or abstract nondeterministic executions Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 4 / 39

  5. Introduction Contributions Outline and Contributions This dissertation re-affirms Rewriting logic (RWL) as a powerful meta-logical framework for PL 1 Executable, with generic and efficient tool support This dissertation proposes K : the most comprehensive PL definitional framework based on RWL 2 Expressive, concurrent, modular, intuitive A true concurrency with resource sharing semantics for K 3 K-Maude as a tool mechanizing the representation of K in RWL 4 Execute, explore, analyze K definitions Demo: exploring concurrency in K-Maude Defining dataraces and verifying datarace freeness Experimenting with relaxed memory models (x86-TSO) Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 5 / 39

  6. Introduction My research Rewriting & Programming languages 2010: J.LAP , J. AIHC, WRLA; 2009: J. Inf.&Comp., RV; 2008: WADT; 2007: SOS; 2006: RTA, WRLA. Specifying and verifying concurrency 2010: J.LAP; 2008: ICSE, WMC. Foundations 2009: J. TCS; 2006: J. Fund. Inf., FOSSACS; 2004: J. TCS. Collaborators Feng Chen, Camelia Chira, Chucky Ellison, Regina Frei, Mark Hills, Giovanna Di Marzo Serugendo, José Meseguer, Andrei Popescu, Grigore Ros , u, Wolfram Schulte, Virgil Nicolae S , erb˘ anut , ˘ a, Gheorghe S , tef˘ anescu. Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 6 / 39

  7. Rewriting logic semantics project Rewriting logic semantics project [ Meseguer, Ros , u, 2004, 2006, 2007 ] Goal Advance the use of rewriting logic for defining programming languages, and for executing and analyzing programs written in them. Some people involved in the Rewriting Logic Semantics Project Wolfgang Ahrendt, Musab Al-Turki, Marcelo d’Amorim, Irina M. As˘ avoae, Mihai As˘ avoae, Eyvind W. Axelsen, Christiano Braga, Illiano Cervesato, Fabricio Chalub, Feng Chen, Manuel Clavel, Chucky Ellison, Azadeh Farzan, Alejandra Garrido, Mark Hills, Michael Ilseman, Einar Broch Johnsen, Ralph Johnson, Michael Katelman, Laurentiu Leustean, Dorel Lucanu, Narciso Martí-Oliet, Patrick Meredith, Elena Naum, Olaf Owe, Stefan Reich, Andreas Roth, Juan Santa-Cruz, Ralf Sasse, Wolfram Schulte, Koushik Sen, Andrei S , tef˘ anescu, Mark-Oliver Stehr, Carolyn Talcott, Prasanna Thati, Ram Prasad Venkatesan, Alberto Verdejo Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 7 / 39

  8. Rewriting logic semantics project Why is RWL good for programming languages? Executability: definitions are interpreters Concurrency: the norm rather than the exception Equational abstraction: collapse state space through equations Generic tools (built around the Maude system): Execution, tracing and debugging State space exploration LTL model checker Inductive theorem prover Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 8 / 39

  9. Rewriting logic semantics project Guidelines for defining programming languages in RWL Represent the state of a running program as a configuration term Represent rules of execution as rewrite rules and equations Equations express structural changes and irrelevant steps Rewrite rules express relevant computational steps (transitions) Execution: transition-sequence between equivalence classes of states State space: transition system amenable to exploration and model checking Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 9 / 39

  10. Rewriting logic semantics project Guidelines for defining programming languages in RWL Represent the state of a running program as a configuration term Represent rules of execution as rewrite rules and equations Equations express structural changes and irrelevant steps Rewrite rules express relevant computational steps (transitions) Execution: transition-sequence between equivalence classes of states State space: transition system amenable to exploration and model checking This sounds great! But. . . we need methodologies. Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 9 / 39

  11. Rewriting logic semantics project From PL definitional frameworks to methodologies within RLS PL definitional frameworks become RWL methodologies [ S , erb˘ anut , ˘ a, Ros , u, Meseguer, 2007 ] Programming language definitional styles can be faithfully captured as a particular definitional methodologies within RWL. (based on prior work by [ Meseguer, 1992 ] [ [Marti-Oliet, Meseguer,1993] ] [ Meseguer, Braga, 2004 ] ) Reduction Small-Step Semantics with SOS Evaluation Contexts Big-Step Modular Rewriting Logic SOS SOS The Chemical Abstract Machine (CHAM) Best of both worlds Write definitions using your favorite PL framework style and notation Execute and analyze them through their RWL representation Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 10 / 39

  12. Rewriting logic semantics project From PL definitional frameworks to methodologies within RLS Existing definitional frameworks at a closer look Can existing styles define (and execute) real programming languages? No, but their combined strengths might be able to. Shortcomings Hard to deal with control (except for evaluation contexts) break/continue, exceptions, halt, call/cc Modularity issues (except for Modular SOS) Adding new features require changing unrelated rules Lack of semantics for true concurrency (except for CHAM) Big-Step captures only the set of all possible results of computation Approaches based on reduction only give interleaving semantics Tedious to find next redex (except for evaluation contexts) one has to write essentially the same descent rules for each construct Inefficient for direct use as interpreters (except for Big-Step SOS) Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 11 / 39

  13. Rewriting logic semantics project From PL definitional frameworks to methodologies within RLS Towards an ideal PL definitional framework Reduction Small-Step Semantics with SOS Evaluation Contexts Big-Step Modular Rewriting Logic SOS SOS The Chemical Ideal PL Abstract Machine definitional (CHAM) framework? Goal: search for an ideal definitional framework based on RWL At least as expressive as Reduction with Evaluation Contexts At least as modular as Modular SOS At least as concurrent as the CHAM Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 12 / 39

  14. The K Framework The K Framework Reduction Small-Step Semantics with SOS Evaluation Contexts Big-Step Modular Rewriting Logic SOS SOS The Chemical Abstract Machine The K Semantic (CHAM) Framework The K framework K technique: for expressive, modular, versatile, and clear PL definitions K rewriting: more concurrent than regular rewriting Representable in RWL for execution, testing and analysis purposes Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 13 / 39

  15. The K Framework K in a nutshell K in a nutshell K omputations Sequences of tasks, including syntax Capture the sequential fragment of programming languages Syntax annotations specify order of evaluation K onfigurations Multisets (bags) of nested cells High potential for concurrency and modularity K rules Specify only what needed, precisely identify what changes More concise, modular, and concurrent than regular rewrite rules Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 14 / 39

  16. The K Framework K in a nutshell Running example: K ernel C A subset of the C programming language Functions Memory allocation void arrCpy ( int ∗ a , int ∗ b ) { while ( ∗ a ++ = ∗ b ++ ) {} Pointer arithmetic } Input/Output Extended with concurrency features Thread creation Lock-based synchronization Thread join Traian Florin S , erb˘ anut , ˘ a (UIUC) Programming Language Semantics using K 15 / 39

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