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Sept. 1, 2025, 10:54 a.m.
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| Schreiner W. Thinking Programs. Logical Modeling and Reasoning...2ed 2026.pdf | 16.7 MB |
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SOURCE: Schreiner W. Thinking Programs. Logical Modeling and Reasoning...2ed 2026
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MEDIAINFO
Textbook in PDF format This book describes some basic principles that allow developers of computer programs (computer scientists, software engineers, programmers) to clearly think about the artifacts they deal with in their daily work: data types, programming languages, programs written in these languages that compute wanted outputs from given inputs, and programs that describe continuously executing systems. The core message is that clear thinking about programs can be expressed in a single, universal language, the formal language of logic. Apart from its universal elegance and expressiveness, this “logical” approach to the formal modeling of, and reasoning about, computer programs has another advantage: due to advances in computational logic (automated theorem proving, satisfiability solving, model checking), nowadays much of this process can be supported by software. This book therefore accompanies its theoretical elaborations by practical demonstrations of various systems and tools that are based on or make use of the presented logical underpinnings. Chapter "Programming Languages" discusses the formal semantics of programming languages. For this we extend the previously introduced type specification language to an imperative (command-based) programming language whose semantics we describe by two approaches. In denotational semantics, we first map commands to partial functions on program states; these functions are defined by logical terms. Later we generalize this classical “functional” style to a non-classical but much more flexible “relational” style where commands are mapped to state relations defined by logical formulas. In operational semantics, we give programs a semantics by mapping them to transition relations defined by logical inference systems; we then show the essential equivalence of denotational and operational semantics. We apply these techniques to model the translation of the command language to a low-level machine language and prove the correctness of the translation. Finally, we extend the command language by the abstraction mechanism of procedures and model their semantics. Logic for Programming: A Perspective The Foundations Syntax and Semantics Abstract Syntax Trees in OCaml and SLANG The Language of Logic The Logic of the RISCProof Navigator The Art of Reasoning ReasoningwiththeRISCProofNavigator Building Models WritingDefinitionsinIsabelle/HOL Recursion. The Higher Planes Abstract Data Types Abstract Data Types in CafeOBJ and CASL Programming Languages Language Semantics in OCaml, the KFramework, and SLANG ComputerPrograms.. Program Reasoning in RISCAL and the RISCProgramExplorer Concurrent Systems Exercises System Analysis inTLA+ and RISCAL
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