Semantic specification using two-level grammars: Blocks, procedures and parameters

Formal specifications are presented for the complete syntax and semantics of an ALGOL-like language fragment, using a recently introduced definitional technique employing two-level grammars (W-grammars). The fragment contains several important features whose dynamic semantics have not previously been treated by means of this technique: block structure, (recursive) procedures, and parameters passed by value, by reference, and by name. The degree of conciseness, clarity, etc., of the specifications is comparable to that obtainable with other approaches to formal seamantics, and it is concluded that two-level grammars must currently be regarded as a competitive approach for progress in language specification.     

Constructing language processors with algebra combinators

Modular Monadic Semantics (MMS) is a well-known mechanism for structuring modular denotational semantic definitions for programming languages. The principal attraction of MMS is that families of language constructs can be independently specified and later combined in a mix-and-match fashion to create a complete language semantics. This has proved useful for constructing formal, yet executable, semantics when prototyping languages. In this work we demonstrate that MMS has an additional software engineering benefit. In addition to composing semantics for various language constructs, we can use MMS to compose various differing semantics for the same language constructs. This capability allows us to compose and reuse orthogonal language tasks such as type checking and compilation. We describe algebra combinators, the principal vehicle for achieving this reuse, along with a series of applications of the technique for common language processing tasks.     

Operational semantics of Framed Tempura

This paper investigates the operational semantics of temporal logic programs. To this end, a temporal logic programming language called Framed Tempura is employed. The evaluation rules for both the arithmetic and boolean expressions are defined. The semantic equivalence rules for the reduction of a program within a state is formalized. Furthermore, the transition rules within a state and transition rules over an interval between configurations are also specified. Moreover, some examples are given to illustrate how these rules work. Thus, the executable behavior of framed programs can be captured in an operational way. In addition, the consistency between the operational semantics and the minimal model semantics based on model theory is proved in detail.     

An operational formal definition of PROLOG: a specification method and its application

We present in this paper a logic programming specification language and its application to the formal specification of PROLOG dialects (Marseille-Edinburgh like dialect or parallel logic programs). In particular it is used in the standardization work of PROLOG. The specification language is based on normal clauses (definite clauses with possibly negative literals in the body) whose semantics is the set of the (generalized) proof-trees. We restrict the specification language to stratified programs and ground proof-trees such that its semantics fits with most of the usual known semantics in logic programming. The specification language is fully declarative in the sense that it is written in a pure logical stule. It is relatively easy to deduce an executable specification from a specification written in such a language. Part of the specification are the associated comments and a methodology has been developed to write these. Without the comments a formal specification cannot be understood; they are partly formal and serve only to help to understand the axioms. They are a natural language form of formal statements relative to the correctness and the completeness of the axioms with regards to some intended meaning. We show in this paper how this specification language can be used to specify dialects of PROLOG. The presented example is just a sample of PROLOG but fully developed here. The specification language has already been used for real dialects as PARLOG and standard PROLOG. This specification method is also interesting because it illustrates the power of logic programming to make specifications. It seems to us that logic programming is generally considered as “impure” executable specification. Our purpose is to show that logic programming may also be used as a perhaps low level but full specification language.     

The rewriting logic semantics project

Rewriting logic is a flexible and expressive logical framework that unifies algebraic denotational semantics and structural operational semantics (SOS) in a novel way, avoiding their respective limitations and allowing succinct semantic definitions. The fact that a rewrite logic theory’s axioms include both equations and rewrite rules provides a useful “abstraction dial” to find the right balance between abstraction and computational observability in semantic definitions. Such semantic definitions are directly executable as interpreters in a rewriting logic language such as Maude, whose generic formal tools can be used to endow those interpreters with powerful program analysis capabilities.     

Aspects as Modular Language Extensions

Extensible programming languages and their compilers use highly modular specifications of languages and language extensions that allow a variety of different language feature sets to be easily imported into the programming environment by the programmer. Our model of extensible languages is based on higher-order attribute grammars and an extension called “forwarding” that mimics a simple rewriting process. It is designed so that no additional attribute definitions need to be written when combining a language with language extensions. Thus, programmers can remain unaware of the underlying attribute grammars when building customized languages by importing various extensions. In this paper we show how aspects and the aspect weaving process from Aspect-Oriented Programming can be specified as a modular language extension and imported into a base language specified in an extensible programming language framework.     

Integrating discrete controller synthesis into a reactive programming language compiler

We define a mixed imperative/declarative programming language: declarative contracts are enforced upon imperatively described behaviors. This paper describes the semantics of the language, making use of the notion of Discrete Controller Synthesis (DCS). We target the application domain of adaptive and reconfigurable systems: our language can serve programming closed-loop adaptation controllers, enabling flexible execution of functionalities w.r.t. changing resource and environment conditions. DCS is integrated into a1 programming language compiler, which facilitates its use by users and programmers, performing executable code generation. The tool is concretely built upon the basis of a reactive programming language compiler, where the nodes describe behaviors that can be modeled in terms of transition systems. Our compiler integrates this with a DCS tool, making it a new environment for formal methods. We define the trace semantics of our contracts language, describe its compilation and establish its correctness, and discuss implementation and examples.     

Modular Structural Operational Semantics with Strategies

Strategies are a powerful mechanism to control rule application in rule-based systems. For instance, different transition relations can be defined and then combined by means of strategies, giving rise to an effective tool to define the semantics of programming languages. We have endowed the Maude MSOS Tool (MMT), an executable environment for modular structural operational semantics, with the possibility of defining strategies over its transition rules, by combining MMT with the Maude strategy language interpreter prototype. The combination was possible due to Maude's reflective capabilities. One possible use of MMT with strategies is to execute Ordered SOS specifications. We show how a particular form of strategy can be defined to represent an OSOS order and therefore execute, for instance, SOS specifications with negative premises. In this context, we also discuss how two known techniques for the representation of negative premises in OSOS become simplified in our setting.     

Objects in the π-Calculus

Two semantics for a parallel object-oriented programming language are presented. One is a two-level transitional semantics in which the global behaviour of a system is derived directly from the possible actions of its constituent objects. The other is by translation into the π-calculus. A close correspondence between the semantics is established.     

Inductive attribute grammars

Attribute grammars are traditionally constrained to be noncircular. In using attribute grammars to specify the semantics of programming languages, this noncircularity limitation has restricted attribute grammars to compile-time or static semantics. Inductive attribute grammars add a general form of circularity to this standard approach. Inductive attribute grammars have the expressiveness required to describe the full semantics of programming languages, while at the same time maintaining the declarative character of standard attribute grammars. This expanded view of attribute grammars proves to be useful in interactive language-based programming environments, as inductive attribute grammars allow the environment to provide an interpreter for incremental re-evaluation of programs after small changes to the code. The addition of run-time semantics via circular attribute grammars permits automatically generated environments to be complete, in that incremental static semantic checking and fast incremental execution are now available within a single framework.The authors' present affiliations are the United States Geological Survey and the Northrop Corporation respectively.     

以太坊中间语言的可执行语义

智能合约是实现各类区块链应用的核心软件程序.近期,以太坊区块链平台（Ethereum）上的智能合约暴露出大量错误和安全隐患,在国际上引发了智能合约形式化验证的研究热潮.为提供高可信度的验证结果,智能合约程序语言的形式化必不可少.本工作对以太坊中间语言Yul进行形式化,首次给出了其类型系统和小步操作语义的形式化定义.该语义为可执行语义（executable semantics）,由120个Yul语言程序组成的测试集进行测试.本工作在Isabelle/HOL证明辅助工具中完成,为基于定理证明的智能合约正确性、安全性验证奠定了基础.     

Grammar Engineering Support for Precedence Rule Recovery and Compatibility Checking

A wide range of parser generators are used to generate parsers for programming languages. The grammar formalisms that come with parser generators provide different approaches for defining operator precedence. Some generators (e.g. YACC) support precedence declarations, others require the grammar to be unambiguous, thus encoding the precedence rules. Even if the grammar formalism provides precedence rules, a particular grammar might not use it. The result is grammar variants implementing the same language. For the C language, the GNU Compiler uses YACC with precedence rules, the C-Transformers uses SDF without priorities, while the SDF library does use priorities. For PHP, Zend uses YACC with precedence rules, whereas PHP-front uses SDF with priority and associativity declarations.The variance between grammars raises the question if the precedence rules of one grammar are compatible with those of another. This is usually not obvious, since some languages have complex precedence rules. Also, for some parser generators the semantics of precedence rules is defined operationally, which makes it hard to reason about their effect on the defined language. We present a method and tool for comparing the precedence rules of different grammars and parser generators. Although it is undecidable whether two grammars define the same language, this tool provides support for comparing and recovering precedence rules, which is especially useful for reliable migration of a grammar from one grammar formalism to another. We evaluate our method by the application to non-trivial mainstream programming languages, such as PHP and C.     

Modelling agent communication in a first order logic

In the design of information systems, the notion of agent has proven useful. When modelling communication among agents, deontic concepts, such as obligations, permissions, and prohibitions are essential. The dynamics of obligations, i.e. how obligations are created and destroyed, can effectively be described by means of notions from speech act theory. In this paper, we present a language that includes deontic and illocutionary constructs for the modelling of communication between agents. The language is a logic programming language, which gives it a simple semantics and makes it executable. A distinguishing feature of the language is that it is able to represent time explicitly, which is required to give an adequate semantics for deontic constructs.     

The Rewriting Logic Semantics Project

Rewriting logic is a flexible and expressive logical framework that unifies denotational semantics and SOS in a novel way, avoiding their respective limitations and allowing very succinct semantic definitions. The fact that a rewrite theory's axioms include both equations and rewrite rules provides a very useful “abstraction knob” to find the right balance between abstraction and observability in semantic definitions. Such semantic definitions are directly executable as interpreters in a rewriting logic language such as Maude, whose generic formal tools can be used to endow those interpreters with powerful program analysis capabilities.     

Graph grammars and operational semantics

Transformations of graphlike expressions are called correct if they preserve a given functional semantics of the expressions. Combining the algebraic theories of graph grammars (cf. [10]) and programming language semantics (cf. [1]) it will be proved that the correctness of transformation rules carries over to the correctness of derivations via such rules. Applying this result to LISP we show that a LISP interpreter represented by a graph grammar is correct with respect to the functional semantics of graphlike LISP expressions.     

An executable object-oriented semantics and its application to firewall verification

This paper presents a formal executable semantics of object-oriented models. We made it possible to conduct both simulation and theorem proving on the semantics by implementing it within the expressive intersection of the functional programming language ML and the theorem prover HOL. In this paper, we present the definition and implementation of the semantics. We also present a prototype verification tool ObjectLogic which supports simulation and theorem proving on the semantics. As a case study, we show the verification of a practical firewall system.